Question

Find each of the following sums and check the associative property of addition:

$2569+(1931+1700)$

Answer 1

Step $1:$Find the sum.

$$\begin{gathered} \Rightarrow 2569+(1931+1700) \\ \Rightarrow 2569+3631 \\ \Rightarrow 6200 \end{gathered}$$

Step $2:$Addition is associative: This property says that changing the grouping of the addends does not change the sum.

i.e. $(a+b)+c=a+(b+c)$

$a=2569,b=1931,c=1700$

Step $3:$ L.H.S.$\Rightarrow (a+b)+c$

$$\begin{gathered} \Rightarrow (2569+1931)+1700 \\ \Rightarrow 4500+1700 \\ \Rightarrow 6200 \end{gathered}$$

R.H.S.$\Rightarrow a+(b+c)$

$$\begin{gathered} \Rightarrow 2569+(1931+1700) \\ \Rightarrow 2569+3631 \\ \Rightarrow 6200 \end{gathered}$$

Hence, the answer is $6200$ and also associative property verified.