2.1: Number Properties

Presentation

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Mathematics

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5th Grade

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Practice Problem

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Medium

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CCSS

3.OA.B.5, 1.OA.B.3, 4.NBT.B.5

Standards-aligned

Michael Simonelli

Used 29+ times

FREE Resource

12 Slides • 13 Questions

2.1: Number Properties

Thursday 10/15/20

Commutative Property of Addition or Multiplication

Changing the order of addends or factors does not change the sum or product.

3 + 5 = 5 + 3

3 × 5 = 5 × 3

Associative Property of Addition or Multiplication

Changing the grouping of addends or factors does not change the sum or product.

(2 + 4) + 1 = 2 + (4 + 1)

(2 × 4) × 1 = 2 × (4 × 1)

Addition Property of Zero

The sum of any number and 0 is that number.

8 + 0 = 0

Multiplication Property of Zero

The product of any number and 0 is 0.

5 × 0 = 0

Multiplication Property of One

The product of any number and 1 is that number.

7 × 1 = 7

Distributive Property

Multiplying a sum (or difference) by a number is the same as multiplying each number in the sum (or difference) by the number and adding (or subtracting) the products.

4 × (3 + 1) = (4 × 3) + (4 × 1)

6 × (5 - 2) = (6 × 5) - (6 × 2)

Fill in the Blanks

Type answer...

Multiple Choice

Example 1

Identify the property shown.

32 + 29 + 8 = 29 + 32 + 8

Associative Property of Addition

Commutative Property of Addition

Addition Property of Zero

Distributive Property

Fill in the Blanks

Type answer...

Multiple Choice

Example 2

Identify the property shown.

6 × (4 × 8) = (6 × 4) × 8

Associative Property of Multiplication

Commutative Property of Multiplication

Multiplication Property of Zero

Distributive Property

Now for some practice! You will get

6 questions and you must identify the property shown.

Multiple Choice

Identify the property shown.

25 × 4 = 4 × 25

Distributive Property

Commutative Property of Multiplication

Associative Property of Multiplication

Distributive Property

Multiple Choice

Identify the property shown.

0 × 71 = 0

Multiplication Property of Zero

Commutative Property of Multiplication

Associative Property of Multiplication

Multiplication Property of One

Multiple Choice

Identify the property shown.

4 × (10 - 6) = (4 × 10) - (4 × 6)

Multiplication Property of One

Commutative Property of Multiplication

Associative Property of Multiplication

Distributive Property

Multiple Choice

Identify the property shown.

19 × 1 = 19

Multiplication Property of One

Commutative Property of Multiplication

Associative Property of Multiplication

Distributive Property

Multiple Choice

Identify the property shown.

(8 + 4) + 10 = 8 + (4 + 10)

Addition Property of Zero

Commutative Property of Addition

Associative Property of Addition

Distributive Property

Multiple Choice

Identify the property shown.

750 + 0 = 750

Addition Property of Zero

Commutative Property of Addition

Associative Property of Addition

Distributive Property

Using the Distributive Property

The Distributive Property is used to multiply a number by a sum or difference. This lets us break larger numbers into the sum or difference of simpler numbers. The number outside is then multiplied to both addends before finding the sum or difference.

Multiple Choice

Example 3

Which of the following is a possible way to use the Distributive Property for $8\times64$ ?

$\left(8\times60\right)-\left(8\times4\right)$

$\left(10-2\right)\times\left(60-4\right)$

$\left(8\times60\right)+\left(8\times4\right)$

$\left(8\times70\right)+\left(8\times4\right)$

Fill in the Blanks

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Fill in the Blanks

Type answer...

2.1: Number Properties

Thursday 10/15/20

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