Question

Find: $-31-(-50)$

Answer 1

To subtract an integer from another integer, we add the opposite of the integer that is being subtracted to the other integer.

Step 1 : Find the opposite of the integer that is being subtracted

The integer that is being subtracted is $(-50)$.

The opposite of $(-50)$ is $50$.

Step 2: Add the opposite of the second integer to the first integer

We have to find the value of $(-31+50)$

The sum of a positive and a negative integer is calculated by subtracting the absolute value of the smaller integer from the greater integer and putting the sign of the number with a greater absolute value to the result.

The absolute value of $-31$ is $31$.

The absolute value of $50$ is $50$.

$50-31=19$

Since, $50>31$, the result will take the sign that $50$ has in $(-31+50)$.

The sign is positive, so, $-31+50=19$.

Hence, $-31-(-50)$$=19$.