Question

to make 36 + 47 easier to solve, jana breaks apart the second addend, 47, as shown.
36 + 47 = 36 + (4 + 43)
which expression is equivalent to 36 + 47?
36 + 43 40 + 43 40 + 47

Explanation:

Step1: Apply Associative Property

The associative property of addition states that \( (a + b) + c = a + (b + c) \). Also, we can rearrange the addition. First, use the associative property on \( 36 + (4 + 43) \): \( (36 + 4) + 43 \).

Step2: Calculate \( 36 + 4 \)

\( 36 + 4 = 40 \), so substituting back, we get \( 40 + 43 \).

Answer:

B. \( 40 + 43 \) (assuming the options are labeled A: \( 36 + 43 \), B: \( 40 + 43 \), C: \( 40 + 47 \))