What are all the numbers whose absolute value is 9?

What are all the numbers whose absolute value is 9?

The absolute value of a number is a measure of its distance from zero on the number line. When evaluating the absolute value, regardless of whether the original number is positive or negative, the result will always be a positive number.

To find all the numbers whose absolute value is 9, we can simply consider the positive and negative value of 9 as follows:
1. The positive number whose absolute value is 9: **9**
2. The negative number whose absolute value is 9: **-9**

These are the only two numbers whose absolute value is 9. The positive number 9 and its negative counterpart, -9, are equidistant from zero on the number line. Conversely, any other positive or negative number will have a different absolute value.

FAQs about numbers with an absolute value of 9:

1.

What is the meaning of absolute value?

Absolute value is a mathematical concept that reflects the distance of a number from zero on the number line. It gives the non-negative value of any real number.

2.

Is the absolute value of a negative number always positive?

Yes, the absolute value of a negative number is always positive. It essentially removes the negative sign and returns the positive value of the number.

3.

Can the absolute value of a number be zero?

Yes, the absolute value of zero is 0. This is because zero is already equidistant from both positive and negative numbers on the number line.

4.

What is the difference between absolute value and magnitude?

In mathematics, absolute value represents the distance from zero on the number line, while magnitude is a term used in different branches of science to describe the size or extent of a quantity, often without considering direction.

5.

What are some other numbers with absolute value 9?

The only numbers with an absolute value of 9 are 9 and -9.

6.

How do you write the absolute value of a number using mathematical notation?

The absolute value of a number ‘x’ is commonly represented as |x|.

7.

Is the absolute value of a positive number the same as the number itself?

Yes, the absolute value of any positive number is equal to the number itself since it is already positive.

8.

Is the absolute value of a number always a real number?

Yes, the absolute value of any number is always a real number since it returns a non-negative value on the number line.

9.

Does the absolute value of a number change the sign?

No, the absolute value of a number does not change its sign. It only returns the positive value of that number, discarding any negative sign.

10.

Are there any other numbers equidistant from zero on the number line?

No, 9 and -9 are the only numbers equidistant from zero on the number line where both have an absolute value of 9.

11.

What is the absolute value of a fraction?

The absolute value of a fraction will always be positive, regardless of whether the fraction is proper or improper.

12.

Does absolute value have any applications in real life?

Absolute value has various applications, including but not limited to distance calculation, temperature measurement, and financial analysis, where only positive values are considered.

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