To simplify: The expression |-25|+(-13).

Question

To simplify:  The expression |-25|+(-13).

Ourst1977 · Accepted Answer

Approach:
The absolute value of a number is the number’s distance from 0 on the number line.
The absolute value for a is |a| = a.
The absolute value for -a is |-a| = a.
To add two integers with the different signs, follow the steps below: -
(i) Write the absolute values of the given integers.
(ii) Find the larger absolute value.
(iii) Subtract the smaller absolute value from the larger absolute value.
(iv) Use the sign of the number with larger absolute value as the sign of the sum.
Calculation:
The absolute value |-25| = 25.
Hence, the given expression can be rewritten as 25 + (-13)
Performing addition 25 + (-13).
Writing absolute values of the given integers.
(i) Writing absolute values of the given integers.
|25| = 25, |-13| = 13
(ii) The larger absolute value is 25.
(iii) Subtracting the smaller absolute value from the larger absolute value.
25-13 = 12
(iv) Since the sign of the number with larger absolute value is positive, hence the sum is also positive.
Thus, |-25| + (-13) = 12

To simplify: The expression |-25|+(-13).

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