| A | B |
| compatible numbers | Numbers close to numbers in the problem; help with mental math. |
| underestimate | An estimate that is less than the exact answer |
| overestimate | An estimate that is greater than the exact answer |
| factor | Whole numbers that multiply to form another number or a whole number that divides exactly into another number. |
| exponent | The number that indicates how many times the base is used as a factor. 3 is the exponent in 5^3 |
| base | When a number is raised to a power, the number that is used as a factor is the base. 5 is the base in 5^3 |
| exponential form | a base & exponent. 5^3 |
| expanded form | base number written as factors multiplied. 5 x 5 x 5 |
| standard form | a product of exponential form. 125 |
| squared | any number raised to the 2nd power |
| cubed | any number raised to the 3rd power |
| numerical expression | A mathematical phrase that includes only numbers & operations. |
| evaluate | To solve or find the value of a numerical expression |
| order of operations | A rule for evaluating expressions: 1.Perform the operations in parentheses 2. Compute powers and roots. 3.Perform all multiplication and division from left to right. 4.Perform all addition and subtraction from left to right. |
| mental math | calculating math in your head |
| Commutative Property | The property that states that two or more numbers can be added (or multiplied) in any order without changing the sum (product). Examples: 8 + 20 = 20 + 8 OR 12 x 6 = 6 x 12 |
| Associative Property | The property that states that for three or more numbers, their sum or product is always the same, regardless of their grouping. Examples: 2 + 3 + 8 = (2 + 3) + 8 = 2 + (3 + 8) OR 2 x 3 x 8 = (2 x 3) x 8 = 2 x (3 x 8) |
| 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. Example: 5 (20 + 1) = (5 x 20) + (5 x 1) |
| sequence | An ordered list of numbers. |
| term (in a sequence) | An element or number in a sequence. |
| arithmetic sequence | A sequence of numbers following a pattern using addition, subtraction, multiplication, and/or division. |