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# Chapter 3

### Math for Elementary School Teachers MATH 210

TermDefinition
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
Created by: Kittentms