What is the absolute value of 7-12?

What is the absolute value of 7-12?

The absolute value of |7-12| is 5. The absolute value function returns the magnitude or distance of a given number from zero on the number line. In this case, subtracting 12 from 7 yields -5, but the absolute value ignores the sign and gives us the positive value of 5.

Related FAQs:

1. What is absolute value?

Absolute value refers to the magnitude or distance of a number from zero on the number line. It is always positive or zero.

2. How do you calculate the absolute value?

To calculate the absolute value of a number, if it is negative, remove the negative sign; if it is positive or zero, leave it as is. The result is always positive or zero.

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

The absolute value of a negative number is its positive counterpart. As mentioned earlier, the absolute value function removes any negative sign, resulting in a positive value.

4. What is the absolute value of zero?

The absolute value of zero is simply zero since zero is neither positive nor negative.

5. How does the absolute value function impact positive numbers?

When using the absolute value function on positive numbers, the output remains the same since positive numbers are already non-negative.

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

The absolute value of a positive number is the number itself. Since positive numbers are already non-negative, applying the absolute value function does not alter the value.

7. Can the absolute value of a number ever be negative?

No, the absolute value of a number cannot be negative. It is defined to be a non-negative value greater than or equal to zero.

8. What happens when you apply the absolute value function twice?

Applying the absolute value function twice (| |) to a number results in the original number itself. It eliminates any previously existing negative sign.

9. Is the absolute value function commutative?

No, the absolute value function is not commutative. Changing the order of the numbers inside the function may yield a different result.

10. Can we apply the absolute value function on complex numbers?

Yes, the absolute value function can be applied to complex numbers. It returns the magnitude or modulus of the complex number, which represents its distance from the origin.

11. How is the absolute value function useful in geometry?

In geometry, the absolute value function helps determine the distance between two points on a coordinate plane or the length of a line segment.

12. What role does the absolute value function play in inequalities?

The absolute value function is commonly used in solving inequalities. It allows us to work with the magnitudes of numbers without considering their signs, facilitating various mathematical operations and finding solutions to equations or inequalities involving absolute values.

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