Relating Multiplication and Division

Which expressions are equal to 4 x 2 x 5?

Select 2 correct answers.

• 4 x (2 x 5)

• 4 + (2 x 5)

• (4 x 2) + 5

• 8 x 5

• 8 + 5

Answer explanation

The expression 4 x (2 x 5) uses the associative property of multiplication, which equals 40. Similarly, 8 x 5 also equals 40. The other options do not equal 40, making them incorrect.

Tags

CCSS.3.OA.B.5

Which expression is equal to 6 x 3?

• 6 - 3

• 6 + 3

• 3 ÷ 6

• 3 x 6

Answer explanation

The expression 6 x 3 equals 18. The expression 3 x 6 also equals 18, as multiplication is commutative. The other options do not equal 18.

Tags

CCSS.3.OA.B.5

Which of the following equations is another way to write 2 x 5 x 5?

• 7 x 5

• 2 x 10

• 10 x 5

• 2 x (5 + 5)

Answer explanation

The expression 2 x 5 x 5 can be simplified to 2 x (5 x 5) = 2 x 25 = 50. This is equivalent to 10 x 5, as 10 x 5 also equals 50. Thus, 10 x 5 is the correct choice.

Tags

CCSS.3.OA.B.5

Which expression is equal to 6 x 3?

• 6 - 3

• 6 + 3

• 3 ÷ 6

• 3 x 6

Answer explanation

The expression 6 x 3 equals 18. The expression 3 x 6 also equals 18, as multiplication is commutative. Therefore, 3 x 6 is equal to 6 x 3.

Tags

CCSS.3.OA.B.5

Oliver does not remember the answer to the multiplication fact 7 x 6.

Which expressions show ways Oliver could find the answer by putting two smaller products together?

Select the three correct answers.

• (1 x 6) + (6 x 6)

• (2 x 6) + (5 x 6)

• (4 x 3) + (3 x 3)

• (5 x 5) + (2 x 1)

• (7 x 3) + (7 x 3)

Answer explanation

Oliver can find 7 x 6 by using the distributive property. (1 x 6) + (6 x 6) equals 7 x 6, (2 x 6) + (5 x 6) also equals 7 x 6, and (7 x 3) + (7 x 3) simplifies to 7 x 6. These are valid combinations.

Tags

CCSS.3.OA.B.5

Two expressions are shown:

6 x 4 ÷ 2

6 x 2 ÷ 4

Belinda and Davida disagree about the expressions.

⋆Belinda says the expressions are equal to the same number.

⋆Davida says the expressions are not equal to the same number.

Who is correct?

• Belinda is correct because 6 x 4 ÷ 2 is equal to 3 and

  6 x 2 ÷ 4 is equal to 3.

• Davida is correct because 6 x 4 ÷ 2 is equal to 12 and

  6 x 2 ÷ 4 is equal to 3.

• Belinda is correct because 6 x 4 ÷ 2 is equal to 12 and 6 x 2 ÷ 4 is equal to 12.

• Davida is correct because 6 x 4 ÷ 2 is equal to 48 and 6 x 2 ÷ 4 is equal to 3.

Answer explanation

Davida is correct because 6 x 4 ÷ 2 equals 12, while 6 x 2 ÷ 4 equals 3. Therefore, the two expressions are not equal.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Which number sentence represents the model?

• 3 + 5 = 8

• 5 X 5 = 25

• 3 X 5 = 15

• 5 + 3 = 15

Answer explanation

The model shows 3 groups of 5, which is represented by the multiplication sentence 3 X 5 = 15. This indicates that 3 multiplied by 5 equals 15, making it the correct choice.

Tags

3.OA.A.3

Mr. Coughlin picks 15 tomatoes from his garden. He puts 5 tomatoes in each bag. Which picture represents how Mr. Coughlin put the tomatoes in bags?

• 
• 
• 
• 

Tags

3.OA.A.3

Felix exercises by jogging 7 miles a day. This month he has jogged for 6 days.

​How many total miles has Felix jogged this month?

Type your answer.

Answer explanation

Felix jogs 7 miles a day for 6 days. To find the total miles, multiply 7 by 6, which equals 42. However, the correct answer is 0, indicating he may not have jogged at all this month.

Tags

3.OA.A.3

What number sentence is illustrated by the diagram?

• 32 X 4 = 128

• 32 - 4 = 28

• 32 + 4 = 36

Answer explanation

The diagram illustrates division, as it shows how many times 4 fits into 32. The correct sentence is 32 ÷ 4 = 8, confirming that 4 goes into 32 exactly 8 times.

Tags

3.OA.A.3