The value of the expression 8+(-3)+(-13).

Pam Stokes

Pam Stokes

Answered question

2021-12-06

The value of the expression 8+(-3)+(-13).

Answer & Explanation

Cheryl King

Cheryl King

Beginner2021-12-07Added 36 answers

Procedure used:
Adding Two Numbers with Different signs:
“Step 1: Find the larger absolute value minus the smaller absolute value.
Step 2: Use the sign of the number with the larger absolute value as the sign of the sum”.
Calculation:
The given expression is 8 + (-3) + (-13).
First, find the value of the expression 8 + (-3).
By using the above procedure, solve the expression 8 + (-3) as follows.
The absolute values of |8| = 8 and |-3| =3.
Here, the larger absolute value is 8 and the smaller absolute value is 3.
Now, from the larger absolute value subtract the smaller absolute value.
That is, 8-3 =5.
In the expression 8 + (-3), the number 8 is the larger absolute value and its sign is positive, so the obtained sum is positive.
That is, 8 + (-3) = 5.
Now, substitute 8 + (-3) = 5 in the given expression.
8 + (-3) + (-13) = 5+ (-13)
By using the above procedure, solve the expression 5 + (-13) as follows.
The absolute values of |5| = 5 and |-13| = 13.
Here, the larger absolute value is 13 and the smaller absolute value is 5.
Now, from the larger absolute value subtract the smaller absolute value.
That is, 13-5 =8.
In the expression 5 + (-13), the number 13 is the larger absolute value and its sign is negative, so the obtained sum is negative.
That is, 5 + (-13) = -8.
Therefore, the value of the expression 8 + (-3) + (-13) is -8.

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