Question

Find the value of $2-7+3$ using subtraction on a number line.

• A. $5$
• B. $8$
• C. $-5$
• D. $-2$

Answer 1

The correct option is D $-2$

$\underset{–}{\text{Need to find:}}$ $2-7+3$ using subtraction on a number line

Consider, the initial position on a number line is $2$.


First to calculate $2-7$, we have to move $7$ steps towards left from $2$. So, we reach at $-5$, i.e., $2-7=-5$ as illustrated in the below figure.


Next, to find out $-5+3$, we have to move $3$ steps towards right from $-5$. And, finally, we reach at $-2$, i.e., $-5+3=-2$ as shown below.


Hence,
$2-7+3=-5+3=-2$

$\therefore$ The value of $2-7+3$ is $-2$, i.e., option (d.) is the correct one.