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 $36 + 47$?

$40 + 43$ $40 + 47$ $36 + 43$

Explanation:

Step1: Use associative property of addition

The associative property of addition states that \( (a + b) + c = a + (b + c) \). We can also rearrange the grouping. Given \( 36 + 47 = 36 + (4 + 43) \), we can group \( 36 + 4 \) first.
\( 36 + (4 + 43)=(36 + 4)+43 \)

Step2: Calculate \( 36 + 4 \)

\( 36+4 = 40 \)

Step3: Substitute back

Substituting \( 36 + 4 = 40 \) into the expression, we get \( 40+43 \)

Answer:

\( 40 + 43 \)