Question

Find the value of the remainder when $-19,625$ is divided by $-25$.

• A. $5$
• B. $10$
• C. $20$
• D. $0$

Answer 1

The correct option is D $0$

We need to find the remainder when $-19,625$ is divided by $-25$. This can be simplified as:

$(-19,625)÷(-25)=\left(\right(-1)\times 19,625)÷\left(\right(-1)\times 25)$
$=19,625÷25$
[$\because (-1)÷(-1)=1]$

We can find $19,625÷25$ as elaborated below:


We know that Dividend $=$ (Divisor $\times$ Quotient) $+$ Remainder. Hence, we can conclude for $19,625÷25$:

$19,625=(25\times 785)+0$

$\therefore$ The remainder when $-19,625$ is divided by $-25$ is $0$, i.e., option (d.) is the correct choice.