Question

$\left|-41\right|-\left|-51\right|$ is equal to

• A. $10$
• B. $-10$
• C. $92$
• D. $-92$

Answer 1

The correct option is B

$-10$

Step:Explanation for correct option.

option-(B):$-10$

Absolute Value of an Integer: The distance of an integer from '$0$' on the number line irrespective of its direction is called the absolute value of that integer. Two vertical bars '$\left|\right|$ ' are used to denote the absolute value.

Here, $\left|-41\right|-\left|-51\right|=-\left(-41\right)-\left[-\left(-51\right)\right]$ ($\because \left|a\right|=-a$, if $a$ is any negative integer)

$=41-51$

$=41+\left(\mathrm{additive}\mathrm{inverse}\mathrm{of}51\right)$ ($\because$ In subtraction, we add the additive inverse of the number to be subtracted)

$=41+\left(-51\right)$ ($\because$ additive inverse of $51$ is $-51$)

$=-10$

Therefore, the correct answer is $-10$