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 value.

Front

What is the absolute value of -7?

Back

The absolute value of -7 is 7.

Front

Is the statement |x| = -x true for all x?

Back

False. The absolute value is always non-negative, so |x| cannot equal a negative number.

Front

What is the absolute value of 0?

Back

The absolute value of 0 is 0.

Front

How do you express the absolute value of a number x?

Back

The absolute value of a number x is expressed as |x|.

Front

What is the result of |–5| + 8?

Back

The result is 13.

Front

If |x| = 6, what are the possible values of x?

Back

The possible values of x are 6 and -6.

Front

What does the equation |x| = a imply if a is a positive number?

Back

It implies that x can be either a or -a.

Front

Why is the absolute value of a number always written as positive?

Back

Because absolute value represents distance, and distance is always measured as a positive quantity.

Front

What is the relationship between absolute value and distance on a number line?

Back

Absolute value measures how far a number is from zero on the number line, without considering direction.