To find the absolute value of -62, we need to understand what absolute value means first. The absolute value represents the distance between a number and zero, regardless of its sign. In this case, we want to determine the distance between -62 and zero.
What is the absolute value of -62?
The absolute value of -62 is 62.
When we consider the number line, -62 is located 62 units to the left of zero. The absolute value eliminates the negative sign, resulting in a positive value of 62.
Now, let’s address some related frequently asked questions:
Is the absolute value always positive?
Yes, the absolute value is always positive, as it represents the distance from zero.
What is the absolute value of zero?
The absolute value of zero is, unsurprisingly, zero itself. Since zero lies at an equal distance from positive and negative numbers, its absolute value is zero.
What is the absolute value of a positive number?
The absolute value of a positive number remains the same as the original number. For example, the absolute value of 5 is 5.
What is the absolute value of a negative number?
The absolute value of a negative number eliminates the negative sign, making it positive. For instance, the absolute value of -4 is 4.
What is the absolute value of a decimal?
The absolute value of a decimal, whether it is positive or negative, results in a positive value. For instance, the absolute value of -3.5 is 3.5.
Can the absolute value be zero?
Yes, the absolute value can be zero when the original number is zero.
Does the absolute value change the sign of a positive number?
No, the absolute value does not change the sign of a positive number. It simply maintains the magnitude, resulting in the positive original number.
Does the absolute value change the sign of a negative number?
Yes, the absolute value eliminates the negative sign of a negative number, resulting in a positive value.
Can the absolute value of a positive number ever be negative?
No, the absolute value of a positive number is always positive. It is impossible for it to be negative.
Can the absolute value of a negative number ever be negative?
No, the absolute value of a negative number is always positive. It eliminates the negative sign, resulting in a positive value.
Can the absolute value of a number be greater than the original number?
No, the absolute value will always be equal to or less than the original number. Absolute value measures the distance from zero, so it cannot exceed the value of the number itself.
How is absolute value useful in real-life situations?
Absolute value is useful in many scenarios, such as computing distances, calculating error margins, determining magnitudes, and dealing with ranges.
Is the absolute value of a complex number possible?
Yes, absolute value can also be applied to complex numbers in a mathematical context, representing the magnitude or modulus of the complex number.
Remember, the absolute value of -62 is 62. By understanding absolute value, we can accurately determine the distance between a number and zero, regardless of its sign.