{"id":27437,"date":"2023-04-12T06:39:51","date_gmt":"2023-04-12T06:39:51","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=27437"},"modified":"2024-01-23T12:23:07","modified_gmt":"2024-01-23T12:23:07","slug":"reciprocal-definition-rules-solved-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal","title":{"rendered":"Reciprocal: Definition, Rules, Solved Examples, Facts, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-06766067-2a41-487d-8185-61a4e9c47619\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal#0-what-is-a-reciprocal-in-math>What is a Reciprocal in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal#2-how-to-find-reciprocal>How To Find Reciprocal<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal#10-unity-product-of-a-number-and-its-reciprocal>Unity: Product of a Number and Its Reciprocal<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal#13-solved-examples-on-reciprocal>Solved Examples on Reciprocal<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal#14-practice-problems-on-reciprocal>Practice Problems On Reciprocal<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal#15-frequently-asked-questions-on-reciprocal>Frequently Asked Questions On Reciprocal<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-reciprocal-in-math\">What is a Reciprocal in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>The word \u201creciprocal\u2019 comes from the Latin word \u201c<\/strong><strong><em>reciproc(us)<\/em><\/strong><strong>\u201d, meaning \u201creturning\u201d or \u201calternating.\u201d<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">So, what is the meaning of reciprocal in math? How to find the reciprocal of a number? Simply divide 1 by the given number. In other words, we turn the number upside down, or interchange the numerator and denominator.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"293\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/reciprocal.png\" alt=\"Reciprocal\" class=\"wp-image-34612\" title=\"Reciprocal\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/reciprocal.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/reciprocal-300x142.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-definition-of-reciprocal-in-math\">Definition of Reciprocal in Math<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In math, the reciprocal of any quantity can be defined as 1 divided by that quantity.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-how-to-find-reciprocal\">How To Find Reciprocal<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For any non-zero number \u201cx,\u201d the reciprocal will be $\\frac{1}{x}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If we multiply the given number by its reciprocal, we get the product 1.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The reciprocal of x is also represented by $x^{-1}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"315\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/reciprocal-of-a-number.png\" alt=\"Reciprocal of a number\" class=\"wp-image-34614\" title=\"Reciprocal of a number\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/reciprocal-of-a-number.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/reciprocal-of-a-number-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-rules-of-reciprocals\">Rules of Reciprocals<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Let\u2019s discuss two reciprocal rules.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">For a number x, the reciprocal will be $\\frac{1}{x}$ and it can also can be written as $x^{-1}$.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, if 10 is the number, then the reciprocal will be $\\frac{1}{10}$.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">For a fraction $\\frac{x}{y}$, the reciprocal will be $\\frac{y}{x}$.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For example, the reciprocal of $\\frac{2}{7}$ is $\\frac{7}{2}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-what-is-the-reciprocal-of-zero\">What Is the Reciprocal of Zero?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We can find the reciprocal of any number, but we cannot apply the reciprocal condition on zero, since it will give an indefinite value. Division of any number by 0 is undefined.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, we can have a reciprocal for all real numbers except 0.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-reciprocal-of-a-natural-number\">Reciprocal of a Natural Number<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The reciprocal of a natural number is defined as the one divided by the given number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose we have to find the reciprocal of 5.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We know that reciprocal of a number x is $\\frac{1}{x}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, reciprocal of a 5 is $\\frac{1}{5}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-reciprocal-of-negative-numbers\">Reciprocal of Negative Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">For any negative number $(\\;-\\;x)$, we can find the reciprocal by writing the inverse of the given number with a minus sign along, $-\\frac{1}{x}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose we have to find the reciprocal of $-\\;8$, we follow the steps given below:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> We write the given number in the form of an improper fraction by writing the number 1 in the denominator. So, 8 can be written as $\\frac{8}{1}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Interchange the numerator and denominator values. On interchanging in the example, we get 18.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3:<\/strong> Add a minus sign $( \\;\u2013\\; )$ to the resultant number. We get $-\\;\\frac{1}{8}$.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-reciprocal-of-a-fraction\">Reciprocal of a Fraction<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The reciprocal of a fraction is obtained by interchanging the numerator and the denominator.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose we have to find the reciprocal of $\\frac{4}{5}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Use the formula, reciprocal of $x = \\frac{1}{x}$,<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, $x = \\frac{4}{5}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus,&nbsp; $\\frac{1}{x} = \\frac{1}{\\frac{4}{5}} = \\frac{5}{4}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, the reciprocal of a fraction $\\frac{4}{5}$ is $\\frac{5}{4}$.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-reciprocal-of-a-mixed-fraction\">Reciprocal of a Mixed Fraction<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose we have a mixed fraction $5\\frac{1}{3}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> Convert the mixed fraction into an improper fraction.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this case, we get $\\frac{16}{3}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Flip the numerator and denominator.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this case, we get $\\frac{3}{16}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, the reciprocal of $5\\frac{1}{3}$ is $\\frac{3}{16}$.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-reciprocal-of-a-decimal\">Reciprocal of a Decimal<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">We calculate the reciprocal of a decimal by one over the decimal number.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Method 1:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose we have to find a reciprocal of 0.25.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> Flip the numerator and the denominator.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this case, we get $\\frac{1}{0.25}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Change it to fractional form.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">In this case, we get $\\frac{100}{25} = 4$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3:<\/strong> If we get a whole number, we leave it till Step 2. If we get a fraction, we convert it into decimal by dividing the numerator by denominator.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Method 2:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose we have to find the reciprocal of 0.52.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 1:<\/strong> Check whether the given decimal number is possible to convert into a fractional number. Here 0.52 is written as $\\frac{52}{100} = \\frac{13}{25}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 2:<\/strong> Find the reciprocal of the fraction. Here, we get $\\frac{25}{13}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Step 3:<\/strong> Convert the fraction into decimals. Here, we get 1.92.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-unity-product-of-a-number-and-its-reciprocal\">Unity: Product of a Number and Its Reciprocal<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">If we multiply the number by the reciprocal of the number, we will get unity, that is, 1.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"382\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/product-of-a-number-and-its-reciprocal.png\" alt=\"Product of a number and its reciprocal\" class=\"wp-image-34615\" title=\"Product of a number and its reciprocal\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/product-of-a-number-and-its-reciprocal.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/product-of-a-number-and-its-reciprocal-300x185.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Some examples are given below:&nbsp;<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$5\\times\\frac{1}{5} = 1$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$\\frac{2}{3}\\times\\frac{3}{2} = 1$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$50\\times\\frac{1}{50} = 1$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$\\frac{9}{10}\\times\\frac{10}{9} = 1$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-applications-of-reciprocal\">Applications of Reciprocal<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The most important application of reciprocal is that it is used in division operation for fractions. If we want to divide the one fraction by the second fraction, we can find it by multiplying the first fraction with the reciprocal of the second fraction.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Suppose we have to find $\\frac{1}{5}\\div\\frac{7}{5}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Here, the first fraction is $\\frac{1}{5}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The second fraction is $\\frac{7}{5}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Thus, the reciprocal of the second fraction is $\\frac{5}{7}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Hence, $\\frac{1}{5}\\div\\frac{7}{5} = \\frac{1}{5}\\times\\frac{5}{7}= \\frac{1}{7}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-facts-about-reciprocal\">Facts about Reciprocal<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Reciprocal of a number is also called its multiplicative inverse.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Reciprocal of a number is 1 divided by the number.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-solved-examples-on-reciprocal\">Solved Examples on Reciprocal<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>1. What is the reciprocal of 7?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution: <\/strong>The reciprocal of 7 is $\\frac{1}{7}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>2. What is the reciprocal of <\/strong>$\\frac{6}{7}$<strong>? Verify your answer.<\/strong>&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution: <\/strong>The reciprocal of a fraction $\\frac{x}{y}$ is $\\frac{y}{x}$. So, reciprocal of $\\frac{6}{7}$ is $\\frac{7}{6}$.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Also, $\\frac{6}{7}\\times\\frac{7}{6} = 1$. Hence, verified.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>3. What is the reciprocal of&nbsp; <\/strong>$\\frac{5x}{3}$<strong>?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Reciprocal of $\\frac{5x}{3}$ is $\\frac{3}{5x}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">4. <strong>A pizza is sliced into 8 pieces. Tom eats 3 slices of the pizza and leaves the rest. Determine the reciprocal of the quantity of the pizza left by Tom.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Total number of slices $= 8$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Number of slices Tom ate $= 3$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Number of slices left $= 8 \\;\u2013\\; 3 = 5$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Fraction of pizza left by Tom $= \\frac{5}{8}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Reciprocal $= \\frac{8}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>5. Stuart bought 4 apples from the market. He ate <\/strong>$2\\frac{1}{2}$ <strong>apples from the 4 he bought. Determine the reciprocal of the fraction of the apples he ate.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution: <\/strong>Fraction of the apples he ate $=&nbsp;2\\frac{1}{2} = \\frac{5}{2}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Reciprocal $= \\frac{2}{5}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-practice-problems-on-reciprocal\">Practice Problems On Reciprocal<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Reciprocal: Definition, Rules, Solved Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following statements is false?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Reciprocal of 5 is $\\frac{1}{5}$.<\/div><div class=\"spq_answer_block\" data-value=\"1\">Reciprocal of 0 is not defined.<\/div><div class=\"spq_answer_block\" data-value=\"2\">Reciprocal of $\u2013\\; 15$ is $\\frac{1}{15}$.<\/div><div class=\"spq_answer_block\" data-value=\"3\">Reciprocal of $\\frac{1}{9}$ is 9.<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Reciprocal of $\u2013\\; 15$ is $\\frac{1}{15}$.<br\/>Reciprocal of $\u2013\\; 15$ is $\\;-\\;\\frac{1}{15}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The reciprocal of 0 is ______.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0<\/div><div class=\"spq_answer_block\" data-value=\"1\">1<\/div><div class=\"spq_answer_block\" data-value=\"2\">100<\/div><div class=\"spq_answer_block\" data-value=\"3\">Not defined<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Not defined<br\/>The reciprocal of 0 is not defined.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following is the reciprocal of $21\\times5$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$5\\times\\frac{1}{21}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$21\\times\\frac{1}{5}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{21\\times5}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$105$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{21\\times5}$<br\/>Reciprocal of 21 is $\\frac{1}{21}$ and reciprocal of 5 is $\\frac{1}{5}$. So, reciprocal of $21\\times5$ is $\\frac{1}{21\\times5}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Identify the reciprocal of 0.075 from the following options.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">13.3<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{3}{40}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{0.025}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\;-\\; 13.3$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 13.3<br\/>$0.075 = \\frac{75}{1000} = \\frac{3}{40}$\r\nReciprocal of  $\\frac{3}{40}$ is $\\frac{40}{3} = 13.3$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">If the reciprocal of an algebraic expression is $2x^2y$, then the expression will be _______________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\;-\\;\\frac{1}{2x^2y}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{1}{2x^2y}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{1}{2xy}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{2}{x^2y}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $\\frac{1}{2x^2y}$<br\/>Reciprocal of $2x^2y$ is $\\frac{1}{2x^2y}$.<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Reciprocal: Definition, Rules, Solved Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Reciprocal\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following statements is false?\",\n                    \"text\": \"Which of the following statements is false?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Reciprocal of $$\u2013\\\\; 15$$ is $$\\\\;-\\\\;\\\\frac{1}{15}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Reciprocal of 5 is $$\\\\frac{1}{5}$$.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of $$\u2013\\\\; 15$$ is $$\\\\;-\\\\;\\\\frac{1}{15}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Reciprocal of 0 is not defined.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of $$\u2013\\\\; 15$$ is $$\\\\;-\\\\;\\\\frac{1}{15}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Reciprocal of $$\\\\frac{1}{9}$$ is 9.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of $$\u2013\\\\; 15$$ is $$\\\\;-\\\\;\\\\frac{1}{15}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Reciprocal of $$\u2013\\\\; 15$$ is $$\\\\frac{1}{15}$$.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Reciprocal of $$\u2013\\\\; 15$$ is $$\\\\;-\\\\;\\\\frac{1}{15}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Reciprocal of $$\u2013\\\\; 15$$ is $$\\\\;-\\\\;\\\\frac{1}{15}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The reciprocal of 0 is ______.\",\n                    \"text\": \"The reciprocal of 0 is ______.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The reciprocal of 0 is not defined.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The reciprocal of 0 is not defined.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The reciprocal of 0 is not defined.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"100\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The reciprocal of 0 is not defined.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Not defined\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The reciprocal of 0 is not defined.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The reciprocal of 0 is not defined.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is the reciprocal of $$21\\\\times5$$?\",\n                    \"text\": \"Which of the following is the reciprocal of $$21\\\\times5$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Reciprocal of 21 is $$\\\\frac{1}{21}$$ and reciprocal of 5 is $$\\\\frac{1}{5}$$. So, reciprocal of $$21\\\\times5$$ is $$\\\\frac{1}{21\\\\times5}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$5\\\\times\\\\frac{1}{21}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of 21 is $$\\\\frac{1}{21}$$ and reciprocal of 5 is $$\\\\frac{1}{5}$$. So, reciprocal of $$21\\\\times5$$ is $$\\\\frac{1}{21\\\\times5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$21\\\\times\\\\frac{1}{5}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of 21 is $$\\\\frac{1}{21}$$ and reciprocal of 5 is $$\\\\frac{1}{5}$$. So, reciprocal of $$21\\\\times5$$ is $$\\\\frac{1}{21\\\\times5}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$105$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of 21 is $$\\\\frac{1}{21}$$ and reciprocal of 5 is $$\\\\frac{1}{5}$$. So, reciprocal of $$21\\\\times5$$ is $$\\\\frac{1}{21\\\\times5}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{21\\\\times5}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Reciprocal of 21 is $$\\\\frac{1}{21}$$ and reciprocal of 5 is $$\\\\frac{1}{5}$$. So, reciprocal of $$21\\\\times5$$ is $$\\\\frac{1}{21\\\\times5}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Reciprocal of 21 is $$\\\\frac{1}{21}$$ and reciprocal of 5 is $$\\\\frac{1}{5}$$. So, reciprocal of $$21\\\\times5$$ is $$\\\\frac{1}{21\\\\times5}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify the reciprocal of 0.075 from the following options.\",\n                    \"text\": \"Identify the reciprocal of 0.075 from the following options.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$0.075 = \\\\frac{75}{1000} = \\\\frac{3}{40}$$\r\nReciprocal of  $$\\\\frac{3}{40}$$ is $$\\\\frac{40}{3} = 13.3$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3}{40}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.075 = \\\\frac{75}{1000} = \\\\frac{3}{40}$$\r\nReciprocal of  $$\\\\frac{3}{40}$$ is $$\\\\frac{40}{3} = 13.3$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{0.025}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.075 = \\\\frac{75}{1000} = \\\\frac{3}{40}$$\r\nReciprocal of  $$\\\\frac{3}{40}$$ is $$\\\\frac{40}{3} = 13.3$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\;-\\\\; 13.3$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$0.075 = \\\\frac{75}{1000} = \\\\frac{3}{40}$$\r\nReciprocal of  $$\\\\frac{3}{40}$$ is $$\\\\frac{40}{3} = 13.3$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"13.3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$0.075 = \\\\frac{75}{1000} = \\\\frac{3}{40}$$\r\nReciprocal of  $$\\\\frac{3}{40}$$ is $$\\\\frac{40}{3} = 13.3$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$0.075 = \\\\frac{75}{1000} = \\\\frac{3}{40}$$\r\nReciprocal of  $$\\\\frac{3}{40}$$ is $$\\\\frac{40}{3} = 13.3$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the reciprocal of an algebraic expression is $$2x^2y$$, then the expression will be _______________.\",\n                    \"text\": \"If the reciprocal of an algebraic expression is $$2x^2y$$, then the expression will be _______________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Reciprocal of $$2x^2y$$ is $$\\\\frac{1}{2x^2y}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\;-\\\\;\\\\frac{1}{2x^2y}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of $$2x^2y$$ is $$\\\\frac{1}{2x^2y}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{1}{2xy}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of $$2x^2y$$ is $$\\\\frac{1}{2x^2y}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{2}{x^2y}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Reciprocal of $$2x^2y$$ is $$\\\\frac{1}{2x^2y}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\\\\frac{1}{2x^2y}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Reciprocal of $$2x^2y$$ is $$\\\\frac{1}{2x^2y}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Reciprocal of $$2x^2y$$ is $$\\\\frac{1}{2x^2y}$$.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"15-frequently-asked-questions-on-reciprocal\">Frequently Asked Questions On Reciprocal<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-1d5a7bb6-462d-446d-8304-32ae729107f3\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-1d5a7bb6-462d-446d-8304-32ae729107f3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1d5a7bb6-462d-446d-8304-32ae729107f3\"><strong>What is the reciprocal of infinity?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-1d5a7bb6-462d-446d-8304-32ae729107f3\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The reciprocal of infinity is 0.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-1d5a7bb6-462d-446d-8304-32ae729107f3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1d5a7bb6-462d-446d-8304-32ae729107f3\"><strong>Which natural number has the same reciprocal as the number itself?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-1d5a7bb6-462d-446d-8304-32ae729107f3\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Reciprocal of 1 is $\\frac{1}{1} = 1$. So, 1 has the same reciprocal as the number itself.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-1d5a7bb6-462d-446d-8304-32ae729107f3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1d5a7bb6-462d-446d-8304-32ae729107f3\"><strong>What is the difference between reciprocal and inverse?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-1d5a7bb6-462d-446d-8304-32ae729107f3\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Inverse means opposite and reciprocal means equality. A reciprocal is a type of inverse but inverse is not necessarily a reciprocal.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-1d5a7bb6-462d-446d-8304-32ae729107f3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1d5a7bb6-462d-446d-8304-32ae729107f3\"><strong>What is the other name of reciprocal?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-1d5a7bb6-462d-446d-8304-32ae729107f3\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The other name of reciprocal is multiplicative inverse.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-1d5a7bb6-462d-446d-8304-32ae729107f3\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1d5a7bb6-462d-446d-8304-32ae729107f3\"><strong>What is the reciprocal of the reciprocal of a number?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-1d5a7bb6-462d-446d-8304-32ae729107f3\">\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The reciprocal of the reciprocal of a number is the number itself. For example: The reciprocal of 2 is $\\frac{1}{2}$ and the reciprocal of $\\frac{1}{2}$ is $\\frac{1}{\\frac{1}{2}} = 2$.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What is a Reciprocal in Math? The word \u201creciprocal\u2019 comes from the Latin word \u201creciproc(us)\u201d, meaning \u201creturning\u201d or \u201calternating.\u201d So, what is the meaning of reciprocal in math? How to find the reciprocal of a number? Simply divide 1 by the given number. In other words, we turn the number upside down, or interchange the &#8230; <a title=\"Reciprocal: Definition, Rules, Solved Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/reciprocal\" aria-label=\"More on Reciprocal: Definition, Rules, Solved Examples, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-27437","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/27437","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=27437"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/27437\/revisions"}],"predecessor-version":[{"id":37682,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/27437\/revisions\/37682"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=27437"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=27437"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=27437"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}