Absolute Value Definition....3

In summary, the absolute value of a number is its distance from the origin on a number line and is always positive. It is typically expressed using vertical bars or pipes and can be applied to any real number, including negative numbers. While absolute value and magnitude are often used interchangeably, magnitude refers to the size or amount while absolute value specifically refers to distance from a reference point. Absolute value is commonly used in real life situations where distance or magnitude is important, such as in physics and engineering, and can also represent differences between values in statistics or financial analysis.
  • #1
mathdad
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Use the algebraic definition of absolute value to rewrite the expression below in a form that does not contain absolute value.

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  • #2
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.
That is correct.
 

Related to Absolute Value Definition....3

1. What is the definition of absolute value?

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

2. How do you express absolute value in mathematical notation?

Absolute value is typically expressed using vertical bars or pipes on either side of the number. For example, the absolute value of -3 can be written as |-3| = 3.

3. What is the difference between absolute value and magnitude?

Absolute value and magnitude are often used interchangeably, but there is a subtle difference. Magnitude refers to the size or amount of something, while absolute value specifically refers to the distance from a reference point.

4. Can a negative number have an absolute value?

Yes, absolute value can be applied to any real number, including negative numbers. The absolute value of a negative number is always positive.

5. How is absolute value used in real life situations?

Absolute value is commonly used in situations where distance or magnitude is important, such as in physics and engineering. It can also be used to represent differences between two values, such as in statistics or financial analysis.

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