{"id":1069,"date":"2022-04-13T12:30:12","date_gmt":"2022-04-13T12:30:12","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1069"},"modified":"2023-06-21T09:29:05","modified_gmt":"2023-06-21T09:29:05","slug":"formula-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/formula","title":{"rendered":"Formula in Math &#8211; Definition, Examples, Practice Problems"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><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-5e0adca3-f59e-4d38-a452-92d086bdf0b1\" 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\/algebra\/formula#0-what-is-formula-in-math>What is Formula in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/formula#1-simple-formulas-in-math>Simple Formulas in Math<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/formula#3-basic-algebraic-formula>Basic Algebraic Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/formula#5-solved-examples-on-formula-in-math>Solved Examples on Formula in Math<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/formula#6-practice-problems-on-formula-in-math>Practice Problems on Formula in Math<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/formula#7-frequently-asked-questions-on-formula-in-math>Frequently Asked Questions on Formula in Math<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-formula-in-math\">What is Formula in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>The formula is a fact or a rule written with mathematical symbols. It usually connects two or more <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/quantity\" target=\"_blank\" rel=\"noopener\" title=\"\">quantities<\/a> with an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/counting-and-comparison\/equal-sign\" target=\"_blank\" rel=\"noopener\" title=\"equal sign\">equal sign<\/a>. <\/strong>When you know the value of one quantity, you can find the value of the other using the formula. It helps to solve the questions quickly. In algebra, geometry and other topics, formulas are used to simplify the process of reaching the answer and saving time.\u00a0<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/evaluate-algebraic-expressions-with-one-operation\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_evaluate_algebric_exp_1_pt.png\" alt=\"Evaluate Algebraic Expressions with One Operation Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Evaluate Algebraic Expressions with One Operation Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/evaluate-algebraic-expressions-with-two-operations\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_evaluate_algebric_exp_2_pt.png\" alt=\"Evaluate Algebraic Expressions with Two Operations Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Evaluate Algebraic Expressions with Two Operations Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-volume-using-the-formula\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_vol_formula_pt.png\" alt=\"Find Volume using the Formula Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Volume using the Formula Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/form-algebraic-expressions\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/algebra_choose_exp_1_pt.png\" alt=\"Form Algebraic Expressions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Form Algebraic Expressions Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script 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                 container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-simple-formulas-in-math\">Simple Formulas in Math<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Pythagorean Theorem is one of the examples of formula in math. Besides this, there are so many other formulas in math. Some of the mostly used formulas in math are listed below:<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-basic-formulas-in-geometry\">Basic Formulas in Geometry<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/geometry\" target=\"_blank\" rel=\"noopener\" title=\"\">Geometry<\/a> is a branch of mathematics that is connected to the shapes, size, space occupied, and relative position of objects. In geometry, we use formulas to find the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/dimensions\" target=\"_blank\" rel=\"noopener\" title=\"\">dimensions<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/perimeter\" target=\"_blank\" rel=\"noopener\" title=\"\">perimeter<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area\" target=\"_blank\" rel=\"noopener\" title=\"\">area<\/a>, surface area, volume, etc., of the different shapes. The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/2-dimensional\" target=\"_blank\" rel=\"noopener\" title=\"\">2D shapes<\/a> are flat and have only two dimensions, length, and width. Some basic 2D formulas for listed below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"661\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Formula-1.png\" alt=\"Basic Geometry Formula for 2D Shapes\" class=\"wp-image-7595\" title=\"Basic Geometry Formula for 2D Shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Formula-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Formula-1-281x300.png 281w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"439\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Formula-2.png\" alt=\"Pythagorean Theorem\" class=\"wp-image-7596\" title=\"Pythagorean Theorem\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Formula-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Formula-2-300x212.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">The 3D objects are solid objects with three dimensions, length, width, and height or depth. For example, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cube\" target=\"_blank\" rel=\"noopener\" title=\"\">cube<\/a>, cuboid, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/sphere\" target=\"_blank\" rel=\"noopener\" title=\"\">sphere<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cylinder\" target=\"_blank\" rel=\"noopener\" title=\"\">cylinder<\/a>, and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/cone\" target=\"_blank\" rel=\"noopener\" title=\"\">cone<\/a>. Formulas for volumes of basic <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/3-dimensional\" target=\"_blank\" rel=\"noopener\" title=\"\">3D Shapes<\/a> are listed below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"838\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Formula-3.png\" alt=\"Basic Formula for 3D Shapes\" class=\"wp-image-7597\" title=\"Basic Formula for 3D Shapes\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Formula-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Formula-3-222x300.png 222w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-basic-algebraic-formula\">Basic Algebraic Formula<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Algebraic formulas build foundation for various topics of mathematics like <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation\" target=\"_blank\" rel=\"noopener\" title=\"\">equation<\/a>, polynomials, trigonometry etc. Here are some most commonly used algebraic formulas.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">a<sup>2<\/sup> \u2013 b<sup>2<\/sup> = (a \u2013 b)(a + b)<\/li>\n\n\n\n<li class=\"eplus-wrapper\">(a + b)<sup>2<\/sup> = a<sup>2<\/sup> + 2ab + b<sup>2<\/sup><\/li>\n\n\n\n<li class=\"eplus-wrapper\">(a &#8211; b)<sup>2<\/sup> = a<sup>2<\/sup> &#8211; 2ab + b<sup>2<\/sup><\/li>\n\n\n\n<li class=\"eplus-wrapper\">a<sup>0<\/sup> = 1<\/li>\n\n\n\n<li class=\"eplus-wrapper\">(a<sup>m<\/sup>)(a<sup>n<\/sup>) = a<sup>m + n<\/sup><\/li>\n\n\n\n<li class=\"eplus-wrapper\">($\\frac{a}{b}$)<sup>n <\/sup>$=$ $\\frac{a^n}{b^n}$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">(ab)n = anbn<\/li>\n\n\n\n<li class=\"eplus-wrapper\">(a<sup>m<\/sup>)<sup>n<\/sup> = a<sup>mn<\/sup><\/li>\n\n\n\n<li class=\"eplus-wrapper\">x<sup>-n<\/sup> = 1\/x<sup>n<\/sup><\/li>\n\n\n\n<li class=\"eplus-wrapper\">$\\frac{x^m}{x^n}$ = x<sup>m-n<\/sup><\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-arithmetic-mean-formula-\"><strong>Arithmetic Mean Formula<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Arithmetic mean (average) = $\\frac{Sum \\: of \\: values}{Number \\: of \\: values}$<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Real-Life Applications of Math Formulas<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">It is important to understand that math formulas are part of every area of your life. The meaning of formula in math is to express information symbolically concisely, and they are derived after several decades of research. We use them widely in construction, architecture, engineering and more. Whether you realize it or not, we use algebraic formulas to plan our schedule and do our tasks simply. Geometry formulas like area, perimeter and the Pythagorean theorem is commonly used in the construction of different types of structures or buildings. We use algebraic formulas in the areas of financial planning and in fields of computer science. Formulas of algebra are used in medicine to measure drug dosage depending on the age and weight of an individual. In real life, we need formulas to solve most of our calculation-based problems.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples-on-formula-in-math\">Solved Examples on Formula in Math<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 1: Find the perimeter of a square with a side of 5 units.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution: <\/strong>Perimeter of a square = 4 \u00d7 side = 4 \u00d7 5 = 20 units.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 2: Find the value of n, when 3<\/strong><strong><sup>-7<\/sup><\/strong><strong> \u00d7 3<\/strong><strong><sup>n<\/sup><\/strong><strong> = 3<\/strong><strong><sup>2<\/sup><\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution: <\/strong>Using the laws of exponents, we get<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">3<sup>-7<\/sup> \u00d7 3<sup>n<\/sup> = 3<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">3<sup>-7+n<\/sup> = 3<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Since the bases are the same and equating the powers, we get -7 + n = 2<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\">Therefore, n must be 2 + 7 or 9.<\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Example 3: Find the area of a square with a perimeter of 28 cm.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><strong>Solution:<\/strong> Perimeter of the square = 28 cmSo, the length of each side must be 28 \u00f7 4 or 7 cm. Therefore, Area of square = 7<sup>2<\/sup> = 49 cm<sup>2<\/sup>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems-on-formula-in-math\">Practice Problems on Formula in Math<\/h2>\n\n\n\n<p class=\"eplus-wrapper wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is Formula in Maths? Meaning, Definition, Examples<\/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\">What is the perimeter of the square that has an area of $4a^2cm^2$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$2a cm$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$4a cm$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$8a cm$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$16a cm$<\/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: $8a cm$<br\/>Area of square is $4a^2cm^2$. So, the side of the square must be $\\sqrt{4a^2}  or $2a cm$.Therefore, the perimeter must be 4 \u00d7 2$a$ or 8$a cm$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Each side of a cube is 5 cm long. What is its volume?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$25 cm^3$ <\/div><div class=\"spq_answer_block\" data-value=\"1\">$50 cm^3$ <\/div><div class=\"spq_answer_block\" data-value=\"2\">$125 cm^3$ <\/div><div class=\"spq_answer_block\" data-value=\"3\">$250 cm^3$ <\/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: $125 cm^3$ <br\/>Each side of the cube is $5 cm$ long. So, volume of the cube must be 5 \u00d7 5 \u00d7 5 or 125 $cm^3$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following is the area of the circle with a diameter of 4 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\u03c0 cm^2$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2\u03c0 cm^2$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$3\u03c0 cm^2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$4\u03c0 cm^2$<\/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: $4\u03c0 cm^2$<br\/>Diameter is 4 cm. So the radius of the circle is 2 cm. The area of the circle must be \u03c0r2 or $4\u03c0 cm^2$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Find the value of n, when 49 = 7$^{3+n}$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">-3<\/div><div class=\"spq_answer_block\" data-value=\"1\">-1<\/div><div class=\"spq_answer_block\" data-value=\"2\">0<\/div><div class=\"spq_answer_block\" data-value=\"3\">1<\/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: -1<br\/>7$^{3+n}$ = 49 = 72. By equating the powers, we get 3 + n = 2 or n = -1<\/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\": \"What is Formula in Maths? Meaning, Definition, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"What is Formula in Maths?\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the perimeter of the square that has an area of $$4a^2cm^2$$?\",\n                    \"text\": \"What is the perimeter of the square that has an area of $$4a^2cm^2$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Area of square is $$4a^2cm^2$$. So, the side of the square must be $$\\\\sqrt{4a^2}  or $$2a cm$$.Therefore, the perimeter must be 4 \u00d7 2$$a$$ or 8$$a cm$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2a cm$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of square is $$4a^2cm^2$$. So, the side of the square must be $$\\\\sqrt{4a^2}  or $$2a cm$$.Therefore, the perimeter must be 4 \u00d7 2$$a$$ or 8$$a cm$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$4a cm$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of square is $$4a^2cm^2$$. So, the side of the square must be $$\\\\sqrt{4a^2}  or $$2a cm$$.Therefore, the perimeter must be 4 \u00d7 2$$a$$ or 8$$a cm$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$16a cm$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Area of square is $$4a^2cm^2$$. So, the side of the square must be $$\\\\sqrt{4a^2}  or $$2a cm$$.Therefore, the perimeter must be 4 \u00d7 2$$a$$ or 8$$a cm$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$8a cm$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Area of square is $$4a^2cm^2$$. So, the side of the square must be $$\\\\sqrt{4a^2}  or $$2a cm$$.Therefore, the perimeter must be 4 \u00d7 2$$a$$ or 8$$a cm$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Area of square is $$4a^2cm^2$$. So, the side of the square must be $$\\\\sqrt{4a^2}  or $$2a cm$$.Therefore, the perimeter must be 4 \u00d7 2$$a$$ or 8$$a cm$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Each side of a cube is 5 cm long. What is its volume?\",\n                    \"text\": \"Each side of a cube is 5 cm long. What is its volume?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Each side of the cube is $$5 cm$$ long. So, volume of the cube must be 5 \u00d7 5 \u00d7 5 or 125 $$cm^3$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$25 cm^3$$ \",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each side of the cube is $$5 cm$$ long. So, volume of the cube must be 5 \u00d7 5 \u00d7 5 or 125 $$cm^3$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$50 cm^3$$ \",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each side of the cube is $$5 cm$$ long. So, volume of the cube must be 5 \u00d7 5 \u00d7 5 or 125 $$cm^3$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$250 cm^3$$ \",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each side of the cube is $$5 cm$$ long. So, volume of the cube must be 5 \u00d7 5 \u00d7 5 or 125 $$cm^3$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$125 cm^3$$ \",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Each side of the cube is $$5 cm$$ long. So, volume of the cube must be 5 \u00d7 5 \u00d7 5 or 125 $$cm^3$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Each side of the cube is $$5 cm$$ long. So, volume of the cube must be 5 \u00d7 5 \u00d7 5 or 125 $$cm^3$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is the area of the circle with a diameter of 4 cm?\",\n                    \"text\": \"Which of the following is the area of the circle with a diameter of 4 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Diameter is 4 cm. So the radius of the circle is 2 cm. The area of the circle must be \u03c0r2 or $$4\u03c0 cm^2$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\u03c0 cm^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Diameter is 4 cm. So the radius of the circle is 2 cm. The area of the circle must be \u03c0r2 or $$4\u03c0 cm^2$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\u03c0 cm^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Diameter is 4 cm. So the radius of the circle is 2 cm. The area of the circle must be \u03c0r2 or $$4\u03c0 cm^2$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3\u03c0 cm^2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Diameter is 4 cm. So the radius of the circle is 2 cm. The area of the circle must be \u03c0r2 or $$4\u03c0 cm^2$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$4\u03c0 cm^2$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Diameter is 4 cm. So the radius of the circle is 2 cm. The area of the circle must be \u03c0r2 or $$4\u03c0 cm^2$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Diameter is 4 cm. So the radius of the circle is 2 cm. The area of the circle must be \u03c0r2 or $$4\u03c0 cm^2$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the value of n, when 49 = 7$$^{3+n}$$\",\n                    \"text\": \"Find the value of n, when 49 = 7$$^{3+n}$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"7$$^{3+n}$$ = 49 = 72. By equating the powers, we get 3 + n = 2 or n = -1\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"-3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"7$$^{3+n}$$ = 49 = 72. By equating the powers, we get 3 + n = 2 or n = -1\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"7$$^{3+n}$$ = 49 = 72. By equating the powers, we get 3 + n = 2 or n = -1\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"7$$^{3+n}$$ = 49 = 72. By equating the powers, we get 3 + n = 2 or n = -1\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"-1\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"7$$^{3+n}$$ = 49 = 72. By equating the powers, we get 3 + n = 2 or n = -1\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"7$$^{3+n}$$ = 49 = 72. By equating the powers, we get 3 + n = 2 or n = -1\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-frequently-asked-questions-on-formula-in-math\">Frequently Asked Questions on Formula in Math<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-1ecaaf6a-afe4-4391-b321-33cc77623dab\" 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-0-1ecaaf6a-afe4-4391-b321-33cc77623dab\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1ecaaf6a-afe4-4391-b321-33cc77623dab\"><strong>What is the importance of math formulas?<\/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-0-1ecaaf6a-afe4-4391-b321-33cc77623dab\">\n\n<p class=\"wp-block-paragraph\">The formula is a fact or rule written with mathematical symbols. It usually connects two or more quantities with an equal sign. Math formulas are derived to solve a problem with speed and accuracy. It makes finding a solution much more manageable than attempting it from scratch. When you know the value of one quantity, you can find the value of the other using the formula.<\/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-1-1ecaaf6a-afe4-4391-b321-33cc77623dab\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1ecaaf6a-afe4-4391-b321-33cc77623dab\"><strong>What is the formula for the area of a triangle?<\/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-1-1ecaaf6a-afe4-4391-b321-33cc77623dab\">\n\n<p class=\"wp-block-paragraph\">Area of a triangle = \u00bd (b \u00d7 h) [b = base length, h = height]<\/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-2-1ecaaf6a-afe4-4391-b321-33cc77623dab\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-1ecaaf6a-afe4-4391-b321-33cc77623dab\"><strong>Are formulas used only in math?<\/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-2-1ecaaf6a-afe4-4391-b321-33cc77623dab\">\n\n<p class=\"wp-block-paragraph\">The first formula was invented between 1800 and 1600 BC. You find them not just in mathematics but in fields of construction, architecture, engineering, and medicine. We use them to help us solve problems easier and faster.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is Formula in Math? The formula is a fact or a rule written with mathematical symbols. It usually connects two or more quantities with an equal sign. When you know the value of one quantity, you can find the value of the other using the formula. It helps to solve the questions quickly. In &#8230; <a title=\"Formula in Math &#8211; Definition, Examples, Practice Problems\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/formula\" aria-label=\"More on Formula in Math &#8211; Definition, Examples, Practice Problems\">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-1069","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\/1069","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=1069"}],"version-history":[{"count":33,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1069\/revisions"}],"predecessor-version":[{"id":31047,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1069\/revisions\/31047"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1069"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1069"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}