Question

Using the distributive property, what is an expression equivalent to 48 + 30

5 (6 + 8).
(6) (8) + (3) (10).
(3) (16) + (6) (5).
6 (8 + 5).

Answer 1

Expressions equivalent to the given problem using the distributive property are calculated to arrive at the main answer of 78, which is equivalent to the original expression of 48 + 30.

Step-by-step explanation:

The student is asking for an expression equivalent to 48 + 30 by using the distributive property. The distributive property states that a(b + c) = ab + ac. Let's apply this property to the given expression:

• 5 (6 + 8) can be distributed as (5 × 6) + (5 × 8), which is 30 + 40 = 70.

• (6) (8) + (3) (10) is just simple multiplication, yielding 48 + 30, which adds up to 78.

• (3) (16) + (6) (5) again involves simple multiplication, resulting in 48 + 30, which is also 78.

• The last expression, 6 (8 + 5), applies the distributive property to get (6 × 8) + (6 × 5), which is 48 + 30 = 78.

All the expressions after using the distributive property result in the sum of 78, which is equivalent to the given expression 48 + 30.