Question

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

Explanation:

Step1: Apply associative property

The associative property of addition states that $(a+b)+c = a+(b+c)$. For $36 + (4 + 43)$, we first group $36+4$:

$$\begin{align} 36 + (4 + 43) &= (36 + 4) + 43 \\ &= 40 + 43 \end{align}$$

Step2: Match equivalent expression

Compare the result to the given options to find the equivalent one for $36+47$.

Answer:

$36 + 47 = 40 + 43$
The equivalent expression is $\boldsymbol{40 + 43}$