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6th Math Unit 4
Modules 10, 11, 12, I will add 13, 14 later
Term | Definition |
---|---|
addition property of equality – | the property that explains that you can add the same number to both sides of an equation, and the two sides will remain equal. |
algebraic expression – | an expression that contains at least one variable. |
associative property – | (ADDITION/MULTIPLICATION) the property that states when adding/multiplying groups of numbers, the grouping of the numbers does not change the value…. order does not matter |
base - | when a number is raised to a power, the number that is used as a factor is the base |
coefficient – | the number that is multiplied by the variable in an algebraic expression. |
commutative property – | (ADDING / MULTIPLICATION) the property that states that changing the order of the numbers does not change the value – |
constant – | a value that does not change |
distributive property – | the property that states if you multiply a sum by a number, you will get the same result if you multiply each addend by that number and then add the products. |
division property of equality – | the property that states that you can divide both sides of an equation by the same nonzero number, and the two sides will remain equal. |
division property of inequality – | the property that states that you can divide both sides of an inequality by the same positive number, and the inequality will remain true. |
equation – | a mathematical sentence that shows that two expressions are equivalent |
equivalent expression – | have the same value for all values of the variables |
exponent - | the number that indicates how many times the base is used as a factor. |
factor - | a number that is multiplied by another number to get a product |
identity property of addition:– | the adding of zero to a number does not change its value. |
identity property of multiplication:– | the multiplying a number by one does not change its value. |
inverse property – | the property that states the sum of a number and its opposite, or additive inverse, is zero |
like terms – | terms with the same variables raised to the same exponents |
multiplication property of equality – | the property that states that you can multiply both sides of an equation by the same number, and the two sides will remain equal. |
multiplication property of inequality – | the property that states that you can multiply both sides of an inequality by the same positive number, and the inequality will remain true. |
order of operations – | a rule for evaluating expressions: P E M/D A/S parentheses, compute powers and roots, then perform all multiplication and division from left to right, and then perform all addition and subtraction from left to right. |
power - | a number produced by raising a base to an exponent. |
prime factorization - | a number written as the product of its prime factors. |
solution – | the value of a variable that makes the equation true |
subtraction property of equality – | the property that explains that you can subtract the same number from both sides of an equation, and the two sides will remain the same |
terms – | the part of the expression that are separated by + or - signs |
variable – | a symbol used to represent a quantity that can change. |