What is the absolute value of -6.75?

The absolute value of a number is its distance from zero on a number line. Regardless of whether the number is positive or negative, its absolute value will be positive. Now, let’s calculate the absolute value of -6.75.

Calculating the Absolute Value

To find the absolute value of -6.75, we simply remove the negative sign from the number. Thus, the absolute value of -6.75 is:

**| -6.75 | = 6.75**

By disregarding the negative sign, we transform the number into a positive value, which reflects its distance from zero on the number line.

Frequently Asked Questions

What is the absolute value?

The absolute value of a number is the distance of that number from zero on a number line. It is always a positive value.

What is the symbol used to represent absolute value?

The symbol used to denote absolute value is two vertical bars surrounding the number like | -6.75 |.

Are all absolute values positive?

Yes, the absolute value of any number, whether positive or negative, will always be positive.

How can I calculate the absolute value of a negative number?

To calculate the absolute value of a negative number, simply remove the negative sign.

Can the absolute value of zero be negative?

No, the absolute value of zero is always zero, resulting in a non-negative value.

What is the significance of the absolute value?

The absolute value is useful in various mathematical applications, such as determining distances, finding the magnitude of quantities, and solving certain equations.

How is the absolute value used in real life?

In real life, the absolute value is used to represent magnitudes, such as measuring distances, temperature differences, or the value of a stock price.

Can the absolute value be a fraction or decimal?

Yes, the absolute value can be any positive fraction or decimal, as it only cares about the distance from zero on a number line.

Is the absolute value always a whole number?

No, the absolute value can be a whole number, fraction, or decimal, depending on the given number.

What is the absolute value of a positive number?

The absolute value of a positive number is equal to the number itself. For instance, the absolute value of 6 is 6.

What is the absolute value of a negative number?

The absolute value of a negative number is equal to the positive value of that number. For example, the absolute value of -9 is 9.

What is the absolute value of infinity?

Infinity does not have an absolute value since it is not a specific number with a position on a number line.

Does the absolute value affect fractions or decimals differently?

No, the absolute value treats fractions and decimals in the same way it treats whole numbers. It only focuses on the magnitude of the number, not its form.

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