Question

Which reasons did you include in your response? Check all that apply. The distributive property can be applied to multiply 4(28) mentally. The number 28 can be expanded to 20 + 8. The commutative property can be applied to reverse the order of numbers.

Answer 1

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Answer 2

Distributive property in multiplication

a) 4.(20+8) = 4.20 + 4.8

Commutative law property in multiplication

b) (28) 4 = 4(28)

Explanation:

Explanation:-

Distributive property in multiplication.

Let a ,b ,c are three numbers

a.(b + c) = a. b + a. c

Given problem 4(28) = 4(20+8)

4.(20+8) = 4.20 + 4.8

= 80+32

= 112

Commutative law property in addition

a + b =b + a

20 + 8 = 8 + 20

Commutative law property in multiplication

ab = b a

(28) 4 = 4(28)

Commutative law property in multiplication

let a, b and c are three numbers

a(bc) = (ab)c

4×(7×4) = (4×7)×4