The absolute value of a number is its distance from zero on a number line, regardless of whether the number is positive or negative. In this case, the number in question is -60. To find the absolute value of -60, we simply need to remove the negative sign (if present) and take the magnitude or positive value of the number. So, what is the absolute value of -60?
The absolute value of -60 is 60.
When we remove the negative sign from -60, we are left with the positive value of 60.
Now that we have answered the main question, let’s explore some related frequently asked questions about absolute value.
What does absolute value mean?
Absolute value refers to the magnitude or the distance of a number from zero on the number line. It tells us how far a number is from zero without considering whether it is positive or negative.
Why is the absolute value always positive?
The absolute value is always positive because it represents distance and distances are inherently positive. By definition, the absolute value of any number is non-negative.
What is the absolute value of zero?
The absolute value of zero is simply zero. Since zero is already on the origin of the number line, its distance from zero is zero.
How do you find the absolute value of a negative number?
To find the absolute value of a negative number, you remove the negative sign and take the positive value of the number. The result will always be a positive number.
What is the absolute value of a positive number?
The absolute value of a positive number is equal to the number itself because positive numbers are already at a distance of zero from zero on the number line.
Can absolute value be a decimal or fraction?
Yes, the absolute value can be a decimal or fraction. It is simply the positive distance a number is from zero, regardless of its form.
What is the absolute value of a complex number?
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.
What is the absolute value of a positive infinity?
The absolute value of positive infinity is still positive infinity. In the concept of infinity, there is no negative value, so absolute value does not change its sign.
What is the absolute value of a negative infinity?
The absolute value of negative infinity is positive infinity. Similar to positive infinity, negative infinity has no positive value, so its absolute value remains positive.
Can absolute value be negative?
No, absolute value cannot be negative. As mentioned earlier, absolute value represents distance, and distance is never negative.
What is the absolute value of a function or variable?
The absolute value of a function or variable depends on the specific context and the values it can take. It is calculated as the distance from zero, considering the given range or values.
Is absolute value associative?
Absolute value is not associative since the order in which operations are performed affects the outcome. For example, |a + b| is not necessarily equal to |a| + |b|.
In conclusion, the absolute value of -60 is 60. By removing the negative sign, we obtain the positive value of the number. The concept of absolute value provides a useful tool for finding distances and determining magnitudes without considering the sign of a number. Whether you are dealing with positive, negative, or complex numbers, understanding absolute value helps you grasp the magnitude of these quantities within the number line.