Absolute Value and Comparing 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 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 version of that number. For example, |-5| = 5.

Front

How do you compare two absolute values?

Back

To compare two absolute values, calculate each absolute value and then compare the resulting positive numbers.

Front

What is the absolute value of |-36|?

Back

|-36| = 36.

Front

What is the absolute value of |27|?

Back

|27| = 27.

Front

What is the relationship between |-x| and |x|?

Back

|-x| = |x| for any real number x.

Front

If |a| > |b|, what can you conclude about a and b?

Back

If |a| > |b|, then a is farther from zero than b on the number line, but a and b can be either positive or negative.

Front

What is the absolute value of -10?

Back

|-10| = 10.

Front

How do you express the comparison |-5| and |-10|?

Back

|-5| < |-10| because 5 < 10.

Front

What is the absolute value of 0?

Back

|0| = 0.