{"id":28394,"date":"2023-05-01T09:17:48","date_gmt":"2023-05-01T09:17:48","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=28394"},"modified":"2024-01-16T10:13:53","modified_gmt":"2024-01-16T10:13:53","slug":"what-is-a-constant-definition-solved-examples-facts","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/constant","title":{"rendered":"What Is a Constant? Definition, Solved Examples, Facts"},"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-e43de274-a3f2-440b-9d58-a30e223d0614\" 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\/constant#0-what-is-a-constant-in-math>What Is a Constant in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constant#2-what-is-a-constant-term-in-algebraic-expression>What Is a Constant Term in Algebraic Expression?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constant#3-how-to-recognize-a-constant-in-algebraic-expression>How to Recognize a Constant in Algebraic Expression<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constant#10-solved-examples-on-constants>Solved Examples on Constants<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constant#11-practice-problems-on-constants>Practice Problems on Constants<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/constant#12-frequently-asked-questions-on-constants>Frequently Asked Questions on Constants<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-constant-in-math\">What Is a Constant in Math?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A \u201cconstant\u201d simply means a fixed value or a value that does not change. A constant has a known value.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">If you measure the height of a wall or bookshelf at home, it will be a constant number. It won\u2019t change. However, if you measure the height of a plant in a pot, it will keep changing as it grows. It\u2019s not constant.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Take a look at the following sentences to understand this.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">There are 7 days in a week. Here,$\\Rightarrow 7$ is a constant.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">July 4 is celebrated as Independence Day in the USA$\\Rightarrow $. Here, 4 is a constant.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading eplus-wrapper\" id=\"1-constant-definition\">Constant: Definition<\/h3>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-6fbd88bb-28df-4c6e-a20d-fa7dfa6f0b47\">\n\n\n<p class=\"eplus-wrapper\"><strong>Constant is an entity whose value does not change throughout the calculation<\/strong>. It can be a number, decimal, or a fraction. A constant in math is often represented by a letter or a symbol or a number.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Examples of constants: 2, 1.5, $\\sqrt{2}, \\frac{3}{4}$<\/p>\n\n\n<\/div>\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-what-is-a-constant-term-in-algebraic-expression\">What Is a Constant Term in Algebraic Expression?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Constant term plays an important role In algebraic expressions or equations.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Consider an algebraic equation: $5x + 4y = 12$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here,<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">x, y are variables. Variable is a quantity that can be changed.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">5 is the coefficient of x. 4 is the coefficient of y.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">12 and 1 are constants.<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">5 and 4 are also numbers. Are they constants in this equation? \u2014 The answer is no. They are not constants. They are coefficients of the variables. We multiply the coefficient with whatever value gets assigned to the variable.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-how-to-recognize-a-constant-in-algebraic-expression\">How to Recognize a Constant in Algebraic Expression<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">It is a known value.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">It\u2019s a stand-alone number.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Even if the value is unknown, it is a set number.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">It involves fractions, decimals, whole numbers, all real numbers.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">An exponent is not a constant. For example, in the term $2^5$, 5 is not a constant.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-constant-numbers\">Constant Numbers<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">All numbers are constant numbers. In math, real numbers, natural numbers, whole numbers, and integers are all constant numbers. They cannot take a different value.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> Ron read 5 pages of a book on Monday and 8 pages on Tuesday. How many pages did he read in two days?<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, to find the total number of pages read by Ron, we have to add 5 and 8, which are constant numbers. They cannot take any other value.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Total number of pages read in the two days $= 5 + 8 = 13$ pages<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Again, 13 is also a constant!<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-arbitrary-constants\">Arbitrary Constants<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">They are symbols that can have different values assigned to it, but are unaffected by changes in the values of a variable in the equation. Sometimes, English alphabets are used to represent fixed values, which are unknown.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example:<\/strong> $y = mx + c$ is the general equation of a straight line, where m and c are arbitrary constants.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">m: the slope of the line<\/p>\n\n\n\n<p class=\"eplus-wrapper\">c: the y intercept.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">If $m = 2$ and $c = 1$, we get the equation of a line as $y = 2x + 1$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-constant-v-variable\">Constant v. Variable<\/h2>\n\n\n\n<figure class=\"wp-block-table wj-custom-table eplus-wrapper\"><table class=\"wj-table-class\"><thead><tr><th><strong>Constant<\/strong><\/th><th><strong>Variable<\/strong><\/th><\/tr><\/thead><tbody><tr><td>It has a known value.<\/td><td>It does not have a fixed value.<\/td><\/tr><tr><td>The value is fixed and does not change over time.<\/td><td>It can take any value.<\/td><\/tr><tr><td>The symbols are usually numbers. Some famous constants such as pi are often identified using a standard symbol.<\/td><td>Different English alphabets are used to represent a variable.<\/td><\/tr><tr><td>Examples: $90,\\; 6\\;, \\;-45\\;$, etc<\/td><td>Examples: x, 5y, 9z<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-constant-function\">Constant Function<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A constant function is a function that maps every number to a constant.<\/strong> Thus, the output is the constant number or the same for any input value.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We denote the constant function as: $f(x) = c$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Suppose $c=3$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$f(x) = 3$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"776\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constant-function-fx-3.png\" alt=\"constant function f(x) = 3\" class=\"wp-image-35810\" title=\"constant function f(x) = 3\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constant-function-fx-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/constant-function-fx-3-240x300.png 240w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">This is a constant function because the variable is x, and the constant 10 is not dependent on x. No matter what value of x we put in the equation, the output of the function will always be 10, since x does not appear in the function.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-mathematical-constants\">Mathematical Constants<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>We use the term mathematical constant to describe fixed, well-defined numbers<\/strong>. Some of mathematical constants include:<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">$\\pi = 3.1415926536$&#8230;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">$i^2 = \\;-1$<\/li>\n\n\n\n<li class=\"eplus-wrapper\">e = 2.7182818284&#8230;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Pythagoras&#8217; constant: $\\sqrt{2} = 1.4142135623$&#8230;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Theodorus&#8217; constant: $\\sqrt{3} = 1.7320508075$&#8230;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Golden ratio: $\\theta = 1.618033$&#8230;<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-constants-written-as-variables\">Constants Written as Variables<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A constant is commonly denoted a <\/strong><strong>&#8220;c<\/strong><strong>\u201d to represent a fixed value when the exact value is not known in an expression or a word problem<\/strong>.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, \u201cc\u201d is the variable, but its value will always be a \u201cfixed number\u201d when actually writing a polynomial or expression.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Consider the quadratic equation of the form: $ax^2 + bx + c = 0$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, a and b are coefficients of the variable x.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here, c is a constant (the constant term of the polynomial).&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Note:<\/strong> a, b, and c are also called parameters since they are used to represent a model or a family of quadratic equations. Parameters may take multiple values, but they do not change once assigned forming a particular function. When parameters are changed, we get a different function or equation.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-solved-examples-on-constants\">Solved Examples on Constants<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>1. Find the constant in the algebraic expression <\/strong>$3x^2y\\;-\\;4xy + 5y +10$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Given expression:<strong> <\/strong>$3x^2y\\;-\\;4xy + 5y + 10$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The only term that is fixed is 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the constant is 10.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>2. Why is 15 a constant?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">15 is a constant because 15 is an integer, it is a fixed value and it will not change.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>3. In the equation <\/strong>$3x\\;-\\;5 = y$<strong>, which is the constant?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">There are three terms: $3x,\\;-\\;5$, and y.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x and y are variables.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\u2013 5$ is a fixed value or does not change.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, $\u2013 5$ is a constant.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>5. James took 4 hours to travel from Place A to Place B, whereas Jack took 3 hours to cover the same distance. Which are the constants and variables in this statistical scenario?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The distance between Place A and Place B is constant.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The time taken is a variable.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-practice-problems-on-constants\">Practice Problems on Constants<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">What Is a Constant? Definition, Solved Examples, Facts<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following is a constant?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">x<\/div><div class=\"spq_answer_block\" data-value=\"1\">20<\/div><div class=\"spq_answer_block\" data-value=\"2\">4z<\/div><div class=\"spq_answer_block\" data-value=\"3\">$x + y$<\/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: 20<br\/>20 is a constant as the value is fixed.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">In the algebraic expression $4x\\;-\\;5 = 6y$, the constant is:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\u2013 5$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$4x$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$6x$<\/div><div class=\"spq_answer_block\" data-value=\"3\">x<\/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: $\u2013 5$<br\/>The value of $\u2013 5$ is fixed. So, it is the constant.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which of the following is not a constant?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Length of a ruler<\/div><div class=\"spq_answer_block\" data-value=\"1\">Speed of a moving car<\/div><div class=\"spq_answer_block\" data-value=\"2\">Height of Burj Khalifa<\/div><div class=\"spq_answer_block\" data-value=\"3\">Birthdate of a person<\/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: Speed of a moving car<br\/>The speed of a car always changes. It can never be a constant.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">The constant term in the expression $8y^2\\;-\\;7y\\;-\\;9 = 14y$ is:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">8<\/div><div class=\"spq_answer_block\" data-value=\"1\">$-7$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$14$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$-9$<\/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: $-9$<br\/>The constant term is $\u2013 9$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">The constant term in the expression $6x + 7 = 10y$ is:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6<\/div><div class=\"spq_answer_block\" data-value=\"1\">x<\/div><div class=\"spq_answer_block\" data-value=\"2\">7<\/div><div class=\"spq_answer_block\" data-value=\"3\">y<\/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: 7<br\/>The constant term is 7.<\/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 a Constant? 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It can never be a constant.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Birthdate of a person\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The speed of a car always changes. It can never be a constant.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Speed of a moving car\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The speed of a car always changes. It can never be a constant.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The speed of a car always changes. It can never be a constant.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The constant term in the expression $$8y^2\\\\;-\\\\;7y\\\\;-\\\\;9 = 14y$$ is:\",\n                    \"text\": \"The constant term in the expression $$8y^2\\\\;-\\\\;7y\\\\;-\\\\;9 = 14y$$ is:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The constant term is $$\u2013 9$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"8\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The constant term is $$\u2013 9$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-7$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The constant term is $$\u2013 9$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$14$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The constant term is $$\u2013 9$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$-9$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The constant term is $$\u2013 9$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The constant term is $$\u2013 9$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The constant term in the expression $$6x + 7 = 10y$$ is:\",\n                    \"text\": \"The constant term in the expression $$6x + 7 = 10y$$ is:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The constant term is 7.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The constant term is 7.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"x\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The constant term is 7.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"y\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The constant term is 7.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"7\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The constant term is 7.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The constant term is 7.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-frequently-asked-questions-on-constants\">Frequently Asked Questions on Constants<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-d89bc481-e337-4d95-9120-953d868d67b6\" 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-d89bc481-e337-4d95-9120-953d868d67b6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d89bc481-e337-4d95-9120-953d868d67b6\"><strong>What is the difference between a coefficient and a constant?<\/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-d89bc481-e337-4d95-9120-953d868d67b6\">\n\n<p class=\"eplus-wrapper\">Constant is the term in an expression that includes only numbers and whose value does not change. Coefficient of a variable can be defined as the number that is multiplied with the variable.<\/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-d89bc481-e337-4d95-9120-953d868d67b6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d89bc481-e337-4d95-9120-953d868d67b6\"><strong>Can a constant be negative?<\/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-d89bc481-e337-4d95-9120-953d868d67b6\">\n\n<p class=\"eplus-wrapper\">Yes. Negative numbers are real numbers. So, they can be constant.<\/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-d89bc481-e337-4d95-9120-953d868d67b6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d89bc481-e337-4d95-9120-953d868d67b6\"><strong>What is a constant polynomial?<\/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-d89bc481-e337-4d95-9120-953d868d67b6\">\n\n<p class=\"eplus-wrapper\">A constant polynomial is a polynomial with the highest degree 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-3-d89bc481-e337-4d95-9120-953d868d67b6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d89bc481-e337-4d95-9120-953d868d67b6\"><strong>Is 0 a constant?<\/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-d89bc481-e337-4d95-9120-953d868d67b6\">\n\n<p class=\"eplus-wrapper\">Yes. 0 is a number. Its value does not change. Thus, 0 is a constant.<\/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-d89bc481-e337-4d95-9120-953d868d67b6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-d89bc481-e337-4d95-9120-953d868d67b6\"><strong>Can we write constants as coefficients in a polynomial?<\/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-d89bc481-e337-4d95-9120-953d868d67b6\">\n\n<p class=\"eplus-wrapper\">A constant number can be written as a coefficient of a variable by writing the power of the variable as 0. Example: $6 = 6y^\\circ$<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Constant in Math? A \u201cconstant\u201d simply means a fixed value or a value that does not change. A constant has a known value.&nbsp; If you measure the height of a wall or bookshelf at home, it will be a constant number. It won\u2019t change. However, if you measure the height of a &#8230; <a title=\"What Is a Constant? Definition, Solved Examples, Facts\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/constant\" aria-label=\"More on What Is a Constant? Definition, Solved Examples, Facts\">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-28394","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\/28394","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=28394"}],"version-history":[{"count":19,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28394\/revisions"}],"predecessor-version":[{"id":37395,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/28394\/revisions\/37395"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=28394"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=28394"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=28394"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}