To determine: The value of the expression -|-2+6|.

sputneyoh

sputneyoh

Answered question

2021-12-08

To determine:
The value of the expression -|-2+6|.

Answer & Explanation

Stuart Rountree

Stuart Rountree

Beginner2021-12-09Added 29 answers

Procedure used:
Adding two integers using Absolute Value:
"To add integers with the same sign (both positive or both negative)
Step 1: Add the absolute values of the two integers.
Step 2: Attach the common sign.
To add integers with the different sign (one positive or one negative).
Step 1: Subtract the smaller absolute value from the larger absolute value.
Step 2: Attach the sign of the integer with large absolute value".
Calculation:
The given expression is -|-2 + 6|
Consider the expression -2 + 6.
Here, it is observed that the numbers -2 and 6 are negative and positive integers respectively.
Evaluate the given expression using above procedure.
Step 1: Subtract the smaller absolute value from the larger absolute value.
Absolute value of |-2| = 2 and |6| =
The smaller absolute value is 2 and the larger absolute value is 6.
Therefore, the difference of the numbers is 6 - 2 = 4.
Step 2: Attach the sign of the integer with large absolute value.
The larger absolute value is 6 and its sign is positive.
So, the sum will have positive sign.
That is, -2+6=4.
Hence, the given expression becomes -|4|.
Therefore, the value of the expression -|-2+6|

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