Question

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

$(19519+4311)+1681$

Answer 1

Step $1:$Find the sum.

$$\begin{gathered} \Rightarrow (19519+4311)+1681 \\ \Rightarrow 23830+1681 \\ \Rightarrow 25511 \end{gathered}$$

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

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

$a=19519,b=4311,c=1681$

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

$$\begin{gathered} \Rightarrow (19519+4311)+1681 \\ \Rightarrow 23830+1681 \\ \Rightarrow 25511 \end{gathered}$$

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

$$\begin{gathered} \Rightarrow 19519+(4311+1681) \\ \Rightarrow 19519+5992 \\ \Rightarrow 25511 \end{gathered}$$

Hence, the answer is $25511$and also associative property verified.