Step: 1

7 × 52

[Original expression.]

Step: 2

= 7 × (50 + 2)

[Rewrite 52 as sum of 50 and 2.]

Step: 3

= 7 × 50 + 7 × 2

[a × (b + c ) = a × b + a × c by distributive property.]

Step: 4

Therefore, (7 × 50) + (7 × 2) is equivalent to 7 × 52.

Correct Answer is : (7 × 50) + (7 × 2)

Step: 1

3 × 31

[original expression.]

Step: 2

3 × (30 + 1)

[Rewrite 31 as sum of 30 and 1.]

Step: 3

= 3 × 30 + 3 × 1

[a × (b + c) = a × b + a × c by distributive property.]

Step: 4

Therefore, (3 × 30) + (3 × 1) is equivalent to 3 × 31.

Correct Answer is : (3 × 30) + (3 × 1)

Step: 1

The number of items in each rectangle is the height times the width.

Step: 2

The items= (8 × 2) + (8 × 4)

[So, instead of doing 2 separate multiplications, use distributive property.]

Step: 3

8 × (2 + 4)

[Take out the common factor.]

Step: 4

8 × 6

[Perform addition.]

Step: 5

= 48

[Muliply.]

Correct Answer is : 48

Step: 1

The number of items in each rectangle is the height times the width.

Step: 2

The items= (3 × 5) + (3 × 2)

[So, instead of doing 2 separate multiplications, use distributive property.]

Step: 3

= 3 × (5 + 2)

[Take out the common factor.]

Step: 4

3 × 7

[Perform addition.]

Step: 5

= 21

[Multiply]

Correct Answer is : 21

Step: 1

The number of items in each rectangle is the height times the width.

Step: 2

The items= (6 × 2) + (6 × 5)

[So, instead of doing 2 separate multiplications, use distributive property.]

Step: 3

6 × (2 + 5)

[Take out the common factor.]

Step: 4

6 × 7

[Perform addition.]

Step: 5

= 42

[Multiply.]

Correct Answer is : 42

Step: 1

The number of items in each rectangle is the height times the width.

Step: 2

The items= (7 × 4) + (7 × 2)

[So, instead of doing 2 separate multiplications, use distributive property.]

Step: 3

7 × (4 +2)

[Take out the common factor.]

Step: 4

= 7 × 6

[Perform addition.]

Step: 5

= 42

[Multiply.]

Correct Answer is : 48

Step: 1

The number of items in each rectangle is the height times the width.

Step: 2

The items= (5 × 4) + (5 × 3)

[So, instead of doing 2 separate multiplications, use distributive property.]

Step: 3

= 5 × (4 + 3)

[Take out the common factor.]

Step: 4

= 5 × 7

[Perform addition.]

Step: 5

= 35

[Multiply.]

Correct Answer is : 35

Step: 1

The number of items in each rectangle is the height times the width.

Step: 2

The items= (2 × 5) + (2 × 3)

[So, instead of doing 2 separate multiplications, use distributive property.]

Step: 3

= 2 × (5 + 3)

[Take out the common factor.]

Step: 4

= 2 × 8

[Perform addition.]

Step: 5

= 16

[Multiply.]

Correct Answer is : 16

Step: 1

The number of items in each rectangle is the height times the width.

Step: 2

The items= (9 × 3) + (9 × 2)

[So, instead of doing 2 separate multiplications, use distributive property.]

Step: 3

= 9 × (3 + 2)

[Take out the common factor.]

Step: 4

= 9 × 5

[Perform addition.]

Step: 5

= 45

[Multiply.]

Correct Answer is : 48

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