**What is the absolute value of 8.75?**
The absolute value of a number is its distance from zero on the number line. To find the absolute value of 8.75, we simply ignore the positive or negative sign and consider the numerical value itself. Therefore, the absolute value of 8.75 is 8.75.
FAQs about Absolute Value:
1. What does “absolute value” mean?
Absolute value refers to the magnitude or distance of a number from zero on the number line.
2. How is the absolute value represented?
The absolute value of a number is denoted by vertical bars or pipes around the number, like |x|.
3. What are the properties of absolute value?
The properties of absolute value include non-negativity, multiplicativity, and triangle inequality.
4. Can the absolute value be negative?
No, the absolute value is always non-negative. It represents the distance from zero and is never negative itself.
5. What is the absolute value of zero?
The absolute value of zero is simply zero, as it is equidistant from both positive and negative numbers on the number line.
6. Is the absolute value of a positive number the same as the number itself?
Yes, the absolute value of a positive number is equal to the number itself. For instance, |5| = 5.
7. Is the absolute value of a negative number the same as the number itself?
No, the absolute value of a negative number is equal to the positive counterpart of that number. For example, |-5| = 5.
8. What is the absolute value of a fraction or decimal?
The absolute value of a fraction or decimal is the numerical value of the fraction or decimal without considering its sign.
9. Can the absolute value of a number be greater than the original number?
No, the absolute value is always non-negative and can never be greater than the original number. It can only be equal to or less than the original number.
10. How is the absolute value useful in real-life applications?
The absolute value has various applications, such as in distance calculations, error analysis, finding the magnitude of vectors, and determining temperature differences.
11. Is the absolute value of a sum equal to the sum of the absolute values?
No, the absolute value of a sum is not necessarily equal to the sum of the absolute values. It depends on the specific numbers involved.
12. Can the absolute value of a complex number be determined?
Yes, the absolute value of a complex number is calculated by taking the square root of the sum of the squares of its real and imaginary parts.