Absolute Value Expressions

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 denoted by |x|.

Front

How do you calculate the absolute value of a negative number?

Back

The absolute value of a negative number is the positive equivalent of that number. For example, |-5| = 5.

Front

What is the absolute value of zero?

Back

The absolute value of zero is 0, since it is at a distance of zero from itself.

Front

What is the result of |-x| for any real number x?

Back

The result of |-x| is the same as |x|, meaning |-x| = |x|.

Front

How do you simplify the expression -|9| + |-5|?

Back

First, calculate the absolute values: -|9| = -9 and |-5| = 5. Then, combine: -9 + 5 = -4.

Front

What is the result of -|18|?

Back

The result is -18, since the absolute value of 18 is 18.

Front

How do you evaluate |8 - (-16)|?

Back

First, simplify inside the absolute value: 8 - (-16) = 8 + 16 = 24. Then, |24| = 24.

Front

What does the expression -4|4-8| evaluate to?

Back

First, calculate |4-8| = | -4 | = 4. Then, -4 * 4 = -16.

Front

What is the absolute value of 15?

Back

The absolute value of 15 is 15, since it is already positive.

Front

What is the relationship between absolute value and negative numbers?

Back

The absolute value of a negative number is always positive, as it represents distance from zero.