What is the absolute value of 2/3?

The absolute value of a number is its distance from zero on the number line. It gives us a positive value, regardless of the sign of the number. In the case of 2/3, we need to calculate the absolute value of this fraction to determine its distance from zero.

To find the absolute value of 2/3, we simply ignore the negative or positive sign of the fraction and consider only its numerical value. In this case, the absolute value of 2/3 is **2/3**, as it is positive and represents a fraction that is two-thirds of the way from zero.

FAQs:

1. What is the absolute value?

The absolute value of a number is its distance from zero on the number line, and it is always positive.

2. How do you find the absolute value of a number?

To find the absolute value of a number, you ignore its sign and consider only its numerical value.

3. Is the absolute value of a fraction always positive?

Yes, the absolute value of a fraction is always positive, regardless of the sign of the fraction.

4. Can fractions have absolute values?

Yes, fractions can have absolute values. The absolute value of a fraction is determined by considering only its numerical value, regardless of its sign.

5. What does it mean when the absolute value of a number is zero?

When the absolute value of a number is zero, it means that the number itself is zero. In other words, the number is neither positive nor negative.

6. How is the absolute value of a fraction different from the absolute value of a whole number?

The absolute value of a fraction and a whole number are both positive values, but the fraction represents a part of a whole, while the whole number represents a complete unit.

7. Can negative fractions have absolute values?

Yes, negative fractions can have absolute values. The absolute value of a negative fraction would be the positive equivalent of that fraction.

8. Is the absolute value of -2/3 the same as the absolute value of 2/3?

Yes, the absolute value of -2/3 is the same as the absolute value of 2/3. Both fractions have the same numerical value, which is 2/3.

9. Can you have a negative absolute value?

No, the absolute value of a number is always positive. It represents the distance of the number from zero on the number line.

10. Does the absolute value of a fraction change if the numerator or denominator is negative?

No, the absolute value of a fraction remains the same regardless of the signs of the numerator or denominator. It is determined solely by the numerical value of the fraction.

11. Can the absolute value of a fraction be greater than 1?

Yes, the absolute value of a fraction can be greater than 1 if the numerator is larger than the denominator, resulting in a fraction greater than 1 in value.

12. What is the absolute value of a mixed number?

To find the absolute value of a mixed number, you first convert it into an improper fraction, and then calculate its absolute value. The process remains the same as finding the absolute value of any other fraction.

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