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91Ó°ÊÓ

Evaluate the expression44−|x| whenx=−10 .

Short Answer

Expert verified

The value of the expressionis 34.

Step by step solution

01

Step 1  . Absolute value of a number

Absolute value of any positive or negative number is always positive and equal to the magnitude of the number. The absolute value of a number N is denoted by |N|.

The absolute value of a number represents the distance of the number from 0 in the number line.

02

. Example of Absolute value

The absolute value of 3 is denoted by |3|and is equal to 3.

And the absolute value of −4is denoted by |−4|and is equal to 4.

03

. Evaluate the expression

To evaluate the value of the expression 44−|x|, substitute −10 for x and simplify further as shown below,

44−|x|=44−|−10|=44−(10)=44−10=34

Thus, the value of the given expression is 34.

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