Question

Find the difference$-32-(-15)$ ?

$\begin{array}{l}a.-47\\ b.-17\\ c.17\\ d.47\end{array}$

Short answer

The difference of the expression is$-17$.

Step-by-step solution

Step 1  . Concept of integers

Integers include the positive and negative whole numbers including zero. An integer cannot be a decimal or fractional part with it.

The set of integers is denoted by the numbers $\mathrm{...},-4,-3,-2,-1,0,1,2,3,4,\mathrm{...}$

Step 2  . Values of x for which -x is less than x

for every value x is greater than - x because with negative sign all the values are smaller than 0 according to number line so, negative values are shown in the left side of 0 in the number line and positive values are shown in the right side of 0 in the number lines.

Step 3  . Explanation

To find the difference$-32-(-15)$, add the opposite of the second number with the first number.

To subtract –15, add its opposite 15 with the first number and solve further to get

$\begin{array}{c}-32-(-15)=-32+15\\ =-17\end{array}$

Thus, the value of the expression is -17.

Hence option (b) is correct.