Verify The Following Using Number Line.
$(+2) + {(+3) + (+5)} = {(+2) + (+3)} + (+5)$

Given:

$(+2)+\{(+3)+(+5)\} =\{(+2)+(+3)\} +(+5)$

To verify:

We have to verify $(+2)+\{(+3)+(+5)\} =\{(+2)+(+3)\} +(+5)$

Solution:

Calculating the value of LHS using number line:

LHS - $(+2)+\{(+3)+(+5)\}$

Step 1: Solving curly brackets first, mark 3 and then move 5 steps to the right.

Step 2: Now, move 2 steps to the right.

So, the final value is 10.

Calculating value of RHS using number line:

RHS - $\{(+2)+(+3)\} +(+5)$

Step 1: Solving curly brackets first, mark 2 and then move 3 steps to the right.

Step 2: Now, move 5 steps to the right.

So, the final value is 10.

Therefore, it is verified that $(+2)+\{(+3)+(+5)\} =\{(+2)+(+3)\} +(+5)$ as final value in both the cases is 10.

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Updated on: 10-Oct-2022

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