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Online Absolute Value Calculator - Online Calculator - Tutorpace

# Online Absolute Value Calculator

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Absolute value of a number is the distance of a particular number considered from ‘0’ on the number line. Absolute value of a number, ‘x’ is represented as |x| where ‘| |’ sign is called ‘modulus sign’. Since distance can never be a negative value, hence absolute value can never be a negative number. Therefore, the final outcome of any absolute value function is positive, even though the number or the expression inside it can be either positive or negative. Absolute value calculator is a quick online tool which can easily calculate the absolute value of the given number or expression.

Example 1: If |2x – 3| = 5, then what is the value of ‘x’?

Since the expression, ‘2x– 3’ is under the modulus sign, we can split it in two ways.

(2x – 3)= 5 or - (2x – 3)= 5

Solve: 2x – 3 = 5, we get: 2x = 5 + 3==>2x = 8==>x = 4.

Check: |2*4– 3|= |5| = 5. Verified!

Similarly,-(2x – 3) = 5==> 2x– 3 = -5==>2x= -2 ==>x = -1.

Check: | (2*-1) – 3|= |-5| = 5. Verified!

Hence, x = 4 or x = -1

Example 2: If |3x + 3|= 6, then what is the value of ‘x’?

Since the expression, ‘3x + 3’ is under the modulus sign, we can split it in two ways.

(3x+ 3)= 6 or - (3x+ 3)=6

Solve: 3x + 3 = 6, we get: 3x = 6 - 3==>3x = 3==>x = 1

Check: |3*1+ 3|= |6| = 6. Verified!

Similarly, -(3x+ 3) = 6==>3x+ 3 = -6==>3x = -9 ==>x = -3

Check: | (3*-3) +3| = |-6| = 6. Verified!

Hence, x= -3 or x= 1