Ch 1 Numbers, Expressions, & Equations
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29 terms
Terms | Definitions |
|---|---|
 expanded form | A number written as the sum of the place values of its digits. |
| exponential form | A way of writing repeated multiplication of a number using exponents. |
| base (in numeration) | A number multiplied by itself the number of times shown by an exponent. |
| exponent | The number that tells how many times the base is being multiplied by itself. |
| power | The number of times a number is multiplied by itself. |
| squared | A number that is multiplied by itself two times. |
| cubed | A number that is multiplied by itself three times. |
| expanded form using exponents | A number written in expanded form with the place values written in exponential form. |
| round | To give an approximation for a number to the nearest one, ten, hundred, thousand, and so on. |
| estimate | To find a number that is close to an exact answer. |
| front-end estimation | A method of estimation using the first digits of each addend that have the same place value. |
| front-end estimation with adjusting | A method of front-end estimation that adjusts the result based on the remaining digits of each addend. |
| front-end estimation | An estimation method where numbers that are approximately equal are treated as if they were equal. |
| compatible numbers | Numbers that are easy to compute mentally. |
| range | The difference between the greatest and the least numbers in a set of data. |
| order of operations | A set of rules mathematicians use to determine the order in which operations are performed. |
| Commutative Properties | The properties that state the order of the addends or factors does not affect the sum of the products. |
| Associative Properties | Properties that state the way in which addends or factors are grouped does not affect the sum or product. |
| Identity Properties | The properties that state the sum of any number and zero is that number and the product of any number and one is that number. |
| Multiplication Property of Zero | Property that states the product of any number and zero is zero. |
| Distributive Property | Multiplying a sum by a number produces the same result as multiplying each addend by the number and adding the products. |
| break apart | Using the Distributive Property to compute mentally. |
| compensation | Choosing numbers close to the numbers in a problem, and then adjusting the answer to compensate for the numbers chosen. |
| equal additions | Adding the same number to two numbers in a subtraction problem does not affect the difference. |
| variable | A quantity that can change or vary, often represented by a letter. |
| evaluate | To find the number that an algebraic expression names by replacing a variable with a given number. |
| properties of equality | Properties that state performing the same operation to both sides of an equation keeps the equation balanced. |
| inverse operations | Operations that "undo" each other, such as addition and subtraction, or multiplication and division (except multiplication by zero). |
| equation | A mathematical sentence stating that two expressions are equal. |
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