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Chapter 3
Math for Elementary School Teachers MATH 210
| Term | Definition |
|---|---|
| Closure Property for Whole Number Multiplication | If a and b are any two whole numbers, then a x b equals an unique whole number |
| Commutative Property for Whole Number Multiplication | a x b x c = a x c x b |
| Associative Property for Whole Number Multiplication | (a x b) x c = a x (b x c) |
| Distributive Property of Multiplication over Addition | a x (b + c) = a x b + a x c |
| Distributive Property of Multiplication over Subtraction | a x (b-c) = a x b - a x c |
| Zero product Property | If a x b = 0, then a = 0 or b = 0 |
| Multiplication Property of Zero | if a is any number, then a x 0 = 0 and 0 x a = 0 |
| Not Possible | Possible? 9/0 |
| Possible | Possible? 0/9 |
| Identity Property for Whole-Number Multiplication | a x 1 = a and 1 x a = a |
| Multiplier | a in a x b = c |
| Multiplicand | b in a x b = c |
| Repeated Multiplication | When all factors are identical |
| Exponential Notation | Writing products with identical factors |
| Dividend | a in a / b = c |
| Divisor | b in a / b = c |
| Fair Share Model | Given the total number of objects and the amount of groups. How many objects per group? |
| Division by Grouping | Given the total number of objects and how many objects per group. How many groups? |
| Repeated Subtraction Model | Given the total number of objects and how many objects per group. How many groups? (12-4=8, 8-4=4, ect) |
| Division Property of Zero | If a is any whole number, then 0 / a = 0 |
| Quotient remainder Theorem | a = b x q + r |
| a = b x q + r | Quotient Remainder Theorem |