Absolute Value Definition....1

MHB
Thread starter mathdad
Start date Nov 8, 2017
Tags

Absolute Absolute value Value

In summary, the absolute value of a number is its distance from zero on a number line and is always positive. To find the absolute value of a number, you can drop the sign if it is negative. Absolute value is important in mathematics because it allows us to measure the distance between numbers and is used in solving equations and inequalities. The difference between absolute value and modulus is that absolute value is used for real numbers while modulus is used for complex numbers and takes into account the imaginary part. The absolute value of a number cannot be negative as it only indicates the direction, not the magnitude.

Nov 8, 2017

mathdad

Use the algebraic definition of absolute value to rewrite the expression below in a form that does not contain absolute value.

View attachment 7487

Last edited by a moderator: Nov 11, 2017

Mathematics news on Phys.org

Nov 8, 2017

castor28

Gold Member

MHB

RTCNTC said:

Use the algebraic definition of absolute value to rewrite the expression below in a form that does not contain absolute value.

See attachment.

Yes:)

Related to Absolute Value Definition....1

What is the definition of absolute value?

The absolute value of a number is its distance from zero on a number line. It is always a positive value, regardless of the sign of the original number.

How do you find the absolute value of a number?

To find the absolute value of a number, you can drop the sign (if it is negative) and keep the number as is. For example, the absolute value of -5 is 5.

Why is absolute value important in mathematics?

Absolute value is important because it allows us to measure the distance between numbers, regardless of their signs. It also helps us solve equations and inequalities, and is used in many real-life applications such as calculating speed and distance.

What is the difference between absolute value and modulus?

Absolute value and modulus both represent the distance from zero, but they differ in the way they are used. Absolute value is used for real numbers, while modulus is used for complex numbers. Modulus also takes into account the imaginary part of a complex number.