Absolute Value

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative number.

Front

How is absolute value represented mathematically?

Back

Absolute value is represented using vertical bars, for example, |x|.

Front

What is the absolute value of -7?

Back

The absolute value of -7 is 7, written as |-7| = 7.

Front

What is the absolute value of 0?

Back

The absolute value of 0 is 0, written as |0| = 0.

Front

If |x| = 5, what are the possible values of x?

Back

The possible values of x are 5 and -5.

Front

What is the relationship between absolute value and distance?

Back

Absolute value represents distance, which is always a non-negative quantity.

Front

Is the absolute value of a positive number the same as the number itself?

Back

Yes, the absolute value of a positive number is the same as the number itself.

Front

What is the absolute value of |-3|?

Back

The absolute value of |-3| is 3, written as |-3| = 3.

Front

How do you solve an equation involving absolute value, such as |x| = 4?

Back

To solve |x| = 4, set up two equations: x = 4 and x = -4.

Front

What does it mean if |x| < a, where a is a positive number?

Back

It means that x is within a distance of a from 0, or -a < x < a.