Rewrite the following numerical expression in an equivalent form using the distributive property: 36 + 54. Select all that apply. (1 point)

Question

tem 13

Dem: 14

COURES TOOLS

3(12+18)

Dem 15

3(12+54)

Item 15

a

6(6+9)

nem 17

6(6+54)

Item Ta

9(4+6)

Item 19

9(454)

4

Item

Answer 1

To rewrite the expression \(36 + 54\) using the distributive property, we need to express it in the form \(a(b + c)\).

Let's examine the provided options:

1. 3(12 + 18):

   • This simplifies to \(3 \times 12 + 3 \times 18 = 36 + 54\). This is equivalent.

2. 3(12 + 54):

   • This simplifies to \(3 \times 12 + 3 \times 54 = 36 + 162\), which is not equivalent.

3. 6(6 + 9):

   • This simplifies to \(6 \times 6 + 6 \times 9 = 36 + 54\). This is equivalent.

4. 6(6 + 54):

   • This simplifies to \(6 \times 6 + 6 \times 54 = 36 + 324\), which is not equivalent.

5. 9(4 + 6):

   • This simplifies to \(9 \times 4 + 9 \times 6 = 36 + 54\). This is equivalent.

6. 9(454):

   • This simplifies to \(9 \times 454\) which is not equivalent.

Thus, the equivalent forms using the distributive property for the expression \(36 + 54\) are:

• 3(12 + 18)
• 6(6 + 9)
• 9(4 + 6)