# Why do two numbers that are opposites have the same absolute value?

## Why do two numbers that are opposites have the same absolute value?

An integer and its opposite are the same distance from zero. So, they have the same absolute values because absolute value is the distance between the number and zero.

## How are absolute value and opposites related examples?

Students learn that the opposite of an integer is the same distance from zero on the number line as the original integer, but on the opposite side of zero. For example, the opposite of +5 is -5, and the opposite of -5 is +5. The absolute value of an integer is its distance from zero on a number line.

What is the opposite of the absolute value of 7?

In 5 and 6, you found the opposite of the absolute values; both answers were negative. In 7, 8 and 9, the aswers are all zero. Zero is never negative.

### Are there three different numbers that have the same absolute value?

Hence if domain is real number for each absolute value there are two different numbers one can have with same absolute value. However, if domain is Complex numbers, absolute value of a number a+bi is √a2+b2 and for each absolute value there could be infinite different numbers with same absolute value.

### What has the same absolute value as?

The absolute value is the same as the distance from zero of a specific number. On this number line you can see that 3 and -3 are on the opposite sides of zero. Since they are the same distance from zero, though in opposite directions, in mathematics they have the same absolute value, in this case 3.

Are absolute value and opposites the same?

The absolute value of a number is the distance between the number and zero on a number line. The absolute value of a number n is written as |n|. The absolute value of 0 is 0. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0.

## What is the opposite value of 7?

-7
7: The opposite of 7 is -7.

## Can different numbers have the same absolute value?

Answer: Two different integers can have the same absolute value.

How many numbers have the same absolute value?

Two
Answer: Two different integers can have the same absolute value.

### What is the absolute value of the opposite integers?

The absolute value of any number is the number itself without any negative signs. Opposite integers are the negative and positive versions of a number together. Adding a pair of opposite integers will always give you zero for the answer.

### How to find the opposite of a negative number?

Negative numbers are numbers less than 0. Negative numbers must always be written with a negative sign. For example, a rational number which is 2/3 less than 0 is “-2/3”. You can find the opposites of rational numbers that are not integers the same way we find the opposites of integers.

What is a pair of opposite integers?

Opposite Integers. Remember that our integers are our whole numbers. A pair of opposite integers is the negative and positive versions of a number together. So, 5 and -5 are a pair of opposite integers. They are called opposites because they are on the opposite sides of the number line.

## What is the opposite of +5?

The opposite of +5 is – 5. The opposite of -3 is +3. The absolute value of an integer is its distance from 0 on the number line. How to determine the Opposites of Integers?