Question

Select the number sentence that illustrates the distributive property of multiplication over addition.

A.
6 × (4 + 9) = (6 + 4) × (6 + 9)
B.
6 × (4 + 9) = (6 × 4) + (6 × 9)
C.
6 × (4 + 9) = (6 × 4) + 9
D.
6 × (4 + 9) = (6 + 4) × 9

Answer 1

Q1.).

6(4+9) ? = (6+4)(6+9)

6(13) ==> 78 ==> (10)(15) ==> 150

78 ≠ 150

Answer: False, The sides ARE NOT EQUAL.

Q2.).

6(4+9) ? = (6)(4)+(6)(9)

6(13) ==> 78 ==> (24) + (54) ==> 78

78 = 78

Answer: True, The sides ARE EQUAL.

Q3.).

6(4+9) ? = (6)(4)+9

6(13) ==> 78 ==> (24) + 9 ==> 33

78 ≠ 33

Answer: False; The sides ARE NOT EQUAL.

Q4.).

6(4+9) ? = (6+4)(9)

6(13) ==> 78 ==> (10)(9) ==> 90

78 ≠ 90

Answer: False; The sides ARE NOT EQUAL.

Hence; Letter Choice; (B), is the Correct Answer: True, The sides ARE EQUAL.

6(4+9) ? = (6)(4)+(6)(9)

6(13) ==> 78 ==> (24) + (54) ==> 78

78 = 78

Hope that helps!!!!! : )

Answer 2

That is option B

you multiply 4 by 6 then multiply 9 by 6 and add the 2 results.