Question

Rewrite the following numerical expression in an equivalent form using the distributive property. 36 +54. Select all that apply

Answer 1

Any expression of the form a(36/a + 54/a) with a a common divisor of 36 and 54 is equivalent. The positive common divisors are 1, 2, 3, 6, 9, 18, so valid distributive forms are:

- 1(36 + 54)
- 2(18 + 27)
- 3(12 + 18)
- 6(6 + 9)
- 9(4 + 6)
- 18(2 + 3)

(Each evaluates to 90, the same as 36 + 54.)