The absolute value of a number refers to the distance of that number from zero on the number line. In simpler terms, it is the positive value of a given number, regardless of its sign. Therefore, **the absolute value of 74 is 74**.
FAQs:
1. What is meant by “absolute value”?
Absolute value refers to the positive value of a number without considering its sign. It represents the distance of the number from zero on the number line.
2. How is the absolute value of a number calculated?
To find the absolute value of a number, you disregard any negative sign and keep the number as it is if it is positive. Essentially, it involves removing the sign and keeping the value positive.
3. Can the absolute value of zero be calculated?
Yes, the absolute value of zero is simply zero itself. Since zero is neither positive nor negative, its absolute value is zero.
4. Is the absolute value always a positive number?
Yes, the absolute value is always positive or zero. It represents the distance from zero on the number line, so it cannot be negative.
5. If a number is already positive, does its absolute value change?
No, the absolute value of a positive number remains the same as the number itself. This is because positive numbers are already non-negative, so their absolute values are equal to their original values.
6. How is the absolute value of a negative number determined?
To find the absolute value of a negative number, you remove the negative sign and keep the number positive. This results in the positive value of the original negative number.
7. Can the absolute value of a fraction be calculated?
Yes, the absolute value of a fraction is calculated just like for any other number. You ignore the sign, convert the fraction into a positive value, and keep it as it is.
8. What is the relationship between absolute value and distance?
The absolute value of a number represents the distance of that number from zero on the number line. It provides a way to express the distance without directionality.
9. What is the difference between absolute value and modulus?
The terms “absolute value” and “modulus” are used interchangeably and refer to the same concept. Both describe the positive value of a number, disregarding its sign.
10. How is the absolute value of a real number expressed?
The absolute value of a real number is often denoted using vertical bars surrounding the number. For example, the absolute value of -5 is written as | -5 |.
11. Can the absolute value of a negative number be negative?
No, the absolute value of a negative number is always positive. The purpose of finding the absolute value is to remove the negativity and work with the positive value instead.
12. Is the absolute value of a number always an integer?
No, the absolute value of a number can be any non-negative real number. While it often yields integers, it can also be a decimal or a fraction.