Properties of real numbers

Presentation

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Mathematics

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6th - 8th Grade

•

Medium

•

CCSS

3.OA.B.5, 1.OA.B.3, 7.NS.A.1D

Standards-aligned

Aimee Norman

Used 21+ times

FREE Resource

8 Slides • 19 Questions

Properties of Real Numbers

The ORDER of the numbers will not change the outcome of the problem.

(Multiplication and Addition)

Commutative Property

Multiple Select

Which of the following are true?

3 + 5 = 5 + 3

3 - 5 = 5 - 3

9 • 3 = 3 • 9

9 ÷ 3 = 3 ÷ 9

The way the numbers are GROUPED will not change the outcome of the problem

(multiplication and addition)

Associative property

Multiple Select

Which of the following are true?

8 + (3 + 1) = (8 + 3) + 1

8 - (3 - 1) = (8 - 3) - 1

12 • (6 • 2) = (12 • 6) • 2

Adding zero OR multiplying by one does NOT change the value of the problem

Identity Property

Multiple Select

Which of the following are true?

5 • 0 = 5

6 + 0 = 6

5 • 1 = 5

6 + 1 = 6

Inverse Property

Use the OPPOSITE to "cancel out a value

Inverse Property

Use the OPPOSITE to "cancel out a value

Multiple Choice

What is the ADDITIVE INVERSE of
-7

-7

^-1/₇

¹/₇

Multiple Choice

What is the MULTIPLICATIVE INVERSE of
8

-8

^-1/₈

¹/₈

Multiple Choice

Find an equivalent expression using the associative property:
7 + ( 8 + 9)

7 + 8 + 9

8 + ( 7 + 9)

(7 + 8 ) + 9

7 + 10

Multiple Select

Which of the following are true?

5 • 0 = 0

5 + 0 = 0

0.25 • 0 = 0

0.25 + 0 = 0

Multiple Choice

Identify the property:

11 + 36 = 36 + 11

Commutative Property of Addition

Associative Property of Addition

Commutative Property of Multiplication

Associative Property of Mulitplication

Multiple Choice

Identify the property:

(5 • 4) • 2 = 5 • (4 • 2)

Commutative Property of Addition

Associative Property of Addition

Commutative Property of Multiplication

Associative Property of Multiplication

Multiple Choice

(x•y) • z = z • (x•y)

Associative Property of Multiplication

Commutative Property of Multiplication

Multiplicative Inverse Property

Identity Property of Multiplication

Multiple Choice

5+1 = 1+5

Commutative Property of Addition

Associative Property of Addition

Inverse Property of Addition

Distributive Property

Multiple Choice

This property tells us that when we change the order of numbers when we are adding, the answer does not change.

Commutative Addition

Commutative Multiplication

Associative Addition

Associative Multiplication

Multiple Choice

(4y + 1) * 0 = 0

Distributive Property

Identity Property

Inverse Property

Property of Zero

Multiple Choice

5 + (-5) = 0

Identity Property

Inverse Property

Reflexive Property

Property of Zero

Multiple Choice

a² + (b² + c²) = (a² + b²) + c²

Commutative Property of Addition

Zero Property

Associative Property of Addition

Identity Property of Addition

Multiple Choice

1 • g³ = g³

Inverse Property of Multiplication

Zero Property

Transitive Property

Identity Property of Multiplication

Multiply a value to an expression inside parenthesis

Distributive property

Multiple Choice

Which of the following shows the correct use of the distributive property

$3\left(a+b\right)=3a+3b$

$3\left(a+b\right)=3ab$

$3\left(a+b\right)=3a+b$

$3\left(a+b\right)=3\cdot a+b$

Multiple Choice

What is the property shown in this equation?
8(5 + 3) = 8(5) + 8(3)

Associative Property of Addition

Commutative Property of Addition

Additive Identity Property

Distributive Property

Multiple Choice

3(w + 4) = 3w + 12 is an example of...

Inverse Property

Distributive Property

Multiplicative Inverse

Associative Property

Properties of Real Numbers

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