Properties

Which Property of Multiplication is shown? (5+7)x8= 5x8 + 7x8

Distributive Property

Which property would you use to simplify this equation? 3(y+5)

Distributive Property

Zero Property of Multiplication

Any number times zero is zero Ex: 7x0=0

Identify the Property (6 + 3) + 14 = 6 + (3 + 14)

Associative Property of addition

Identify the Property (8 x 12) x 3 = 8 x (12 x 3)

Associative Property of multiplication

Identify the Property 10 x (6 x 2) = (10 x 6) x 2

Associative Property of multiplication

Identify the Property 7 + 3 = 3 + 7

Commutative Property of addition

Identify the Property 9 + 7 + 6 = 9 + 6 + 7

Commutative Property of addition

Identify the Property 5 x 12 = 12 x 5

Commutative Property of multiplication

Identify the Property: 4(12 + 3) = 4x12 + 4x3

Distributive

Identify the Property: 9 x (5+3) = 9x5 + 9x3

Distributive Property

What property does this equation illustrate? 9x(2+5)= 9x2 + 9x5

Distributive Property

Identify the Property 15 + 0 = 15

Identity Property of addition

Identify the Property 7 + 0 = 7

Identity Property of addition

Identify the Property 11 x 1 = 11

Identity Property of multiplication

Which operation will not change the value of any nonzero number? Adding One Multiplying by One Multiplying by Zero Dividing by Zero

Multiplying by One

Inverse Property of Addition

The purpose of the inverse property of addition is to get a result of zero. Any number added to its opposite will equal zero. Examples: 4 + (-4)=0 or -4 + 4=0

Inverse Property of Multiplication

The purpose of the inverse property of multiplication is to get a result of 1. You multiply a number by its reciprocal to get the result of 1. To find the reciprocal you must write the number as a fraction and then flip the numerator and denominator. (4/5 → 5/4 or 5=5/1 5/1 → 1/5) Examples: 4 x 1/4=1 or 2/3 x 3/2=1

Associative Property

This rule refers to grouping the numbers using parentheses. The answer will be the same no matter how the numbers are grouped. Examples: 2+(3+4)=(2+3)+4 or 4x(3x2)=(4x3)x2

Commutative Property

You can change the order of the numbers and the answer will be the same. Examples: 2+3=3+2 or 2x3=3x2

What property does this equation illustrate? 7x0=0

Zero Property of Multiplication

Which equation shows the Identity Property of Multiplication? a(c+b)=ab+ac a x 1 (a+b)+3=a+(3+b) a+a+a= 3 x a

a x 1

In the __________ property, the parentheses can be moved.

associative

The ____________ property says that changing the grouping of numbers that are either being added or multiplied does not change the answer.

associative

What property does this equation illustrate? 9x5=5x9

commutative property of multiplication

The property that multiples the values outside of the brackets or parentheses with each term of in them is

the Distributive Property Ex: 8(3+4) = 8x3 + 8x4 = 56

The rule that refers to grouping is ________

the associative property.

Identity Property of Multiplication

the product of any number and one is that number Example: 5x1=5

Identity Property of Addition

the sum of any number and zero is equal to that number Example: 9+0=9

Which of the following does not show the Commutative Property? 9 + y = y + 9 yx = xy x + y = y + x xy - 6 = xy

xy - 6 = xy