Assessment Practice MA.3.AR.1.1

Which numbers make the equation true? For each box, fill in the bubble before the number that is correct.

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1

Select all the equations that demonstrate the Distributive Property.

• 6 × (3 + 2) = (6 × 3) + (6 × 2)

• 6 × 5 = 30

• 6 × (3 × 2) = (6 × 3) × 2

• (4 + 1) × 6 = (1 × 6) + (4 × 6)

• 6 × 5 = 5 × 6

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1

Select all the expressions that can help you solve 4 × 9.

• (4 × 3) + (4 × 3)

• (2 × 2) + (3 × 3)

• (4 × 5) + (4 × 4)

• 2 × (2 × 9)

• (1 × 4) + (1 × 9)

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1

Ravi knows that 2 × 5 = 10 and 2 × 7 = 14.

Which problem does that help him solve using the Distributive Property?

• 2 × 12

• 2 × 35

• 5 × 7

• 2 × 17

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1

Isabel has set up a board as shown to play checkers with a friend. Part A Select all the expressions that can be used to find the total number of checkers on the board.

• 2 × (3 × 6)

• 2 × (3 × 4)

• 2 × (4 × 3)

• 2 × (3 + 4)

• 2 × (12 + 12)

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1

Isabel has set up a board as shown to play checkers with a friend. Complete the sentence to make a true statement about the checkerboard.

The total number of checkers on the board is (a)   checkers.

• 12

• 24
• 30

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1

Select all the expressions that can be used to solve 8 × 32.

• 8 × (3 + 2)

• 8 × (30 + 2)

• 8 × (2 + 30)

• 8 × (16 + 2)

• 8 × (10 + 10 + 10 + 2)

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1

Select all the true expressions.

• 2 × (3 + 6) = 2 × 9

• (2 × 3) × 6 = 2 × (3 × 6)

• 2 × (3 × 6) = (6 × 3) × 2

• 2 × 36 = 2 × (30 + 6)

• 2 × 36 = 2 × (30 × 6)

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1

A train has 5 passenger cars. Each car has 10 rows of 4 seats each.

Select the numbers in each box to complete the equation to find the total number of passengers the train can hold.

5 x 4​ ​ (a)   10 = (b)  

• 90

• 120
• 200

• x
• -
• +
• 30
• 10

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1

Match the equation with the name of the property it demonstrates.

Answer explanation

Associative Property of Multiplication

The associative property tells us that when we multiply numbers, the way we group them doesn’t change the result.

Example:

• For (2 × 3) × 4, we can also group it as 2 × (3 × 4).

• Both ways give us the same answer: 24.

Commutative Property of Multiplication

The commutative property tells us that when we multiply numbers, the order of the numbers doesn’t change the result.

Example:

• If we have 4 × 5, it is the same as 5 × 4.

• Both give us the answer: 20.

Distributive Property of Multiplication

The distributive property helps us multiply a number by a group of numbers added together.

Example:

• If we have 3 × (4 + 5), we can use the distributive property to "distribute" the 3:

  • 3 × 4 + 3 × 5

• This means we multiply 3 by 4 and then add that to 3 multiplied by 5.

• The answer is: 12 + 15 = 27.

Tags

MA.3.AR.1.1