What is the absolute value of -3/4?

What is the absolute value of -3/4?

The absolute value of a number is the distance of that number from zero on the number line, regardless of its sign. To find the absolute value of -3/4, we simply ignore the negative sign and consider the magnitude of the number. Therefore, **the absolute value of -3/4 is 3/4**.

FAQs about absolute value:

1. What is absolute value?

Absolute value is a mathematical concept that measures the distance of a number from zero on the number line, regardless of the sign of that number.

2. How is absolute value represented?

Absolute value is denoted by vertical bars or pipes surrounding the number. For example, |-3| represents the absolute value of -3.

3. Why is it important to find absolute value?

Absolute value allows us to determine the magnitude or distance between numbers, independently of their positive or negative nature. It is particularly useful when working with equations or inequalities.

4. How is the absolute value defined?

The absolute value of a real number x, denoted as |x|, is defined as x if x is non-negative (x ≥ 0), and -x if x is negative (x < 0).

5. What is the absolute value of zero?

The absolute value of zero is simply zero (|0| = 0). Zero is neither negative nor positive, so it has no positive or negative distance from zero.

6. Can the absolute value of a number be negative?

No, the absolute value of a number is always non-negative, meaning it is either zero or positive.

7. Can the absolute value of a number be zero?

Yes, the absolute value of a number can be zero. This occurs when the number itself is zero, as the distance from zero to zero is zero.

8. What is the absolute value of a positive number?

The absolute value of a positive number is the number itself. For example, the absolute value of 5 is 5 (|5| = 5).

9. What is the absolute value of a negative number?

The absolute value of a negative number is the positive counterpart of that number. For instance, the absolute value of -5 is 5 (|-5| = 5).

10. Can the absolute value of a fraction be a whole number?

Yes, the absolute value of a fraction can be a whole number. For example, the absolute value of -2/3 is 2/3, which is a fraction but with whole number magnitude.

11. Can the absolute value of a decimal be a fraction?

Yes, the absolute value of a decimal can be a fraction. For instance, the absolute value of -0.25 is 0.25, which is a decimal representation of a fraction.

12. Is the absolute value commutative?

The absolute value is commutative, meaning that the absolute value of the absolute value of x (| |x| |) is the same as the absolute value of x (|x|), regardless of the value of x.

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