Use properties of multiplication to multiply whole numbers

Multiplication properties can simplify the multiplication operation

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QUESTION OF
Views #: 23
Questions #: 15
Time: 15 minutes
Pass Score: 80.0%
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Use the Associative Property to Simplify

2 pts
volume_mute

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

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Associative Property

2 pts
volume_mute

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

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Use the Commutative Property

2 pts
volume_mute

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

\(3 \times 875 \times 0\)

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Regroup to Simplify – Associative Property

2 pts
volume_mute

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

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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 \(47 \times 8\)?

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Sort the Steps – Associative Property

2 pts
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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Match Each Property to Its Definition

2 pts

Match each property of multiplication to its correct definition.

To complete the line match

  1. Click on an item in the first group
  2. Click on the match 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.
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Which Statements Illustrate the Commutative Property?

2 pts
volume_mute

Select all statements that illustrate the commutative property of multiplication.

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Identify the Best Regrouping

2 pts
volume_mute

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

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Zero Factor

1 pts
volume_mute

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

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Complete Both Methods – Associative Property

2 pts

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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Classify Each Statement by Property

2 pts

Drag each statement into the correct property category.

drag and drop the selected option to the right place

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Regroup to Get a Power of 10

2 pts
volume_mute

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

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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?

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Catch It! – Which Property?

2 pts

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

drag and drop the selected option to the right place

Commutative
Associative
Zero Property
Property of 1
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Keywords
Year 7