Trent Carpenter

2020-12-22

The absolute value of a number is equal to the absoolute value of its opposite.

Liyana Mansell

Skilled2020-12-23Added 97 answers

Calculation:

Given: The absolute value of a number is equal to the absolute value of its opposite.

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative. The absolute number of a number ais written as$|a|$ . The symbol $|a|$ is used to indicate the absolute value of a. $|a|$ is a, If ais positive. $|-a|$ is a, if ais negative.

The equation$|x|$ = a has two solutions $x=a$ and $x=\u2014a$ because both numbers are at the distance a from 0.

1, A number and the opposite of the number always have the same absolute value.

2. In general, taking the opposite of n changes the sign of n.

For example, the opposite of 3 is -3.

3. In general, taking the absolute value of n gives a number$|n|$ , which is always positive. For example, $|3|=3$ and $|-3|=3$ .

4, Since the opposite of 0 is 0 (which is neither positive nor negative), therefore -0 = 0. The number 0 is the only number which is its own opposite.

Conclusion:

The statement is true.

Given: The absolute value of a number is equal to the absolute value of its opposite.

Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative. The absolute number of a number ais written as

The equation

1, A number and the opposite of the number always have the same absolute value.

2. In general, taking the opposite of n changes the sign of n.

For example, the opposite of 3 is -3.

3. In general, taking the absolute value of n gives a number

4, Since the opposite of 0 is 0 (which is neither positive nor negative), therefore -0 = 0. The number 0 is the only number which is its own opposite.

Conclusion:

The statement is true.

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