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CC2 Ch. 3
| Term | Definition |
|---|---|
| Additive Inverse | The number you need to add to a given number to get a sum of 0. |
| Algebraic Expression | A combination of individual terms separated by plus or minus signs. It does not have an “equals” sign. |
| Associative Property | If a sum contains terms that are grouped, then the sum may be regrouped with no effect on the total: a + (b +c) = (a + b) + c. If a product contains terms that are grouped, then the product may be regrouped with no effect on the result: a(bc) = (ab)c. |
| Commutative Property | If two terms are added, then the order may be reversed with no effect on the total. That is, a + b = b + a . If two expressions are multiplied, then the order may be reversed with no effect on the result. That is, ab = ba . |
| Evaluate | To find the numerical value of. To do this, substitute the value(s) given for the variable(s) and perform the operations according to the order of operations. |
| Integers | The set of numbers {…, –3, –2, –1, 0, 1, 2, 3, …}. |
| Multiplicative Inverse | For a non-zero number, it is the number we can multiply by to get the multiplicative identity, For example, for the number 5, the multiplicative inverse is 1/5. |
| Numerical Term | Single numbers or products of numbers. |
| Order of Operations | The order in which operations are to be carried out to evaluate or simplify expressions: parentheses, exponents (powers or roots), multiplication or division (from left to right), and addition or subtraction (from left to right). |
| Quotient | The result of a division problem. |
| Rational Numbers | Numbers that may be expressed in the form a/b , where a and b are integers and b ≠ 0. |
| Reciprocals | The reciprocal of a nonzero number is its multiplicative inverse, that is, the reciprocal of x is 1/x. |
| Simplify | To write a less complicated expression with the same value. It has no parentheses and no like terms. |
| Substitution | Replacing one symbol with a number, a variable, or another algebraic expression of the same value. It does not change the value of the overall expression. |
| Terms | A single number, variable, or the product of numbers and variables, |