Use properties of multiplication to multiply whole numbers

Multiplication properties can simplify the multiplication operation

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QUESTION OF

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Views #: 300

Questions #: 15

Time: 15 minutes

Pass Score: 80.0%

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Step

List

Mode

Exam

Practice

Use the Associative Property to Simplify

2 pts

volume_mute

Find the product by regrouping: \((17 \times 50) \times 2\)

1,500

1,600

1,700

1,800

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Correct Answer

Explanation

Associative Property

2 pts

volume_mute

Find the product by regrouping: \((23 \times 25) \times 4\)

1,900

2,100

2,300

2,500

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Correct Answer

Explanation

Use the Commutative Property

2 pts

volume_mute

Which regrouping uses the commutative property to make this multiplication easier?

\(3 \times 875 \times 0\)

Multiply \(3 \times 875 = 2{,}625\) first, then multiply by 0.

Multiply \(875 \times 0 = 0\) first using the zero property.

Reorder to \(875 \times 3 \times 0\) and use the associative property.

The order does not matter since all give the same result.

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Correct Answer

Explanation

Regroup to Simplify – Associative Property

2 pts

volume_mute

Find the product by regrouping cleverly: \((4 \times 125) \times 9\)

4,400

4,500

4,600

4,700

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volume_mute

Correct Answer

Explanation

Commutative Property – Same Product Either Order

1 pts

volume_mute

The commutative property states that order does not change the product. If \(8 \times 47 = 376\), what is \(47 \times 8\)?

356

366

376

386

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Correct Answer

Explanation

Sort the Steps – Associative Property

2 pts

volume_mute

Please drag and drop the options to sort them

Drag the solution steps for \((17 \times 50) \times 2\) into the correct order.

Multiply: \(17 \times 100 = 1{,}700\)

Identify a helpful pair: 50 and 2

Regroup: \(17 \times (50 \times 2)\)

Multiply inside parentheses: \(50 \times 2 = 100\)

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Correct Answer

Explanation

Match Each Property to Its Definition

2 pts

volume_mute

To complete the line match

Click on an item in the first group
Click on an item in the second group
To delete a match, double click on a line

Property

Commutative

Associative

Zero Property

Identity (Property of 1)

Definition

The product of any whole number and 1 is that whole number.

The way in which whole numbers are grouped does not change their product.

The product of any whole number and 0 is 0.

The order in which whole numbers are multiplied does not change their product.

Match each property of multiplication to its correct definition.

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Correct Answer

Explanation

Which Statements Illustrate the Commutative Property?

2 pts

volume_mute

Select all statements that illustrate the commutative property of multiplication.

\(7 \times 5 = 5 \times 7\)

\((3 \times 2) \times 4 = 3 \times (2 \times 4)\)

\(9 \times 6 = 6 \times 9\)

\(100 \times 1 = 100\)

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Correct Answer

Explanation

Identify the Best Regrouping

2 pts

volume_mute

Which regrouping makes \(5 \times 18 \times 20\) easiest to compute?

\((5 \times 18) \times 20 = 90 \times 20\)

\(5 \times (18 \times 20) = 5 \times 360\)

\((5 \times 20) \times 18 = 100 \times 18\)

All three are equally easy.

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Correct Answer

Explanation

Zero Factor

1 pts

volume_mute

Evaluate: \(109 \times 53 \times 0 \times 2\)

11,554

23,108

218

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Correct Answer

Explanation

Complete Both Methods – Associative Property

2 pts

volume_mute

There are two ways to multiply \(3 \times 2 \times 4\):

Method 1 (group 3 × 2): \((3 \times 2) \times 4 =\) (1) \(\times 4 =\) (2)

Method 2 (group 2 × 4): \(3 \times (2 \times 4) = 3 \times\) (3) \(=\) (4)

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Correct Answer

Explanation

Classify Each Statement by Property

2 pts

volume_mute

Statements

×\(4 \times 9 = 9 \times 4\)

×\((2 \times 3) \times 5 = 2 \times (3 \times 5)\)

×\(7 \times 0 = 0\)

×\(1 \times 365 = 365\)

Commutative

Associative

Zero Property

Property of 1

Drag each statement into the correct property category.

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Correct Answer

Explanation

Regroup to Get a Power of 10

2 pts

volume_mute

Find the product by regrouping: \((8 \times 125) \times 7\)

6,000

7,000

8,000

9,000

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Correct Answer

Explanation

Language of Mathematics – Reading Parentheses

1 pts

volume_mute

The word "quantity" alerts the reader to parentheses. How is \((3 \times 2) \times 4\) read aloud?

Three times two times four

The quantity of 3 times 2, times 4

3 times the quantity of 2 times 4

Three times two, quantity times four

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Correct Answer

Explanation

Catch It! – Which Property?

2 pts

volume_mute

6 × 7 = 7 × 6

(2×4)×5 = 2×(4×5)

99 × 0 = 0

1 × 452 = 452

Commutative

Associative

Zero Property

Property of 1

Catch each falling statement and drop it into the correct property box.

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Correct Answer

Explanation

Year 7

Use the Associative Property to Simplify

Correct Answer

Explanation

Associative Property

Correct Answer

Explanation

Use the Commutative Property

Correct Answer

Explanation

Regroup to Simplify – Associative Property

Correct Answer

Explanation

Commutative Property – Same Product Either Order

Correct Answer

Explanation

Sort the Steps – Associative Property

Correct Answer

Explanation

Match Each Property to Its Definition

Property

Definition

Correct Answer

Explanation

Which Statements Illustrate the Commutative Property?

Correct Answer

Explanation

Identify the Best Regrouping

Correct Answer

Explanation

Zero Factor

Correct Answer

Explanation

Complete Both Methods – Associative Property

Correct Answer

Explanation

Classify Each Statement by Property

Correct Answer

Explanation

Regroup to Get a Power of 10

Correct Answer

Explanation

Language of Mathematics – Reading Parentheses

Correct Answer

Explanation

Catch It! – Which Property?

Correct Answer

Explanation

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