Rational Numbers: Comparing Absolute Value of Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is the absolute value of a number?

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

How do you compare the absolute values of two rational numbers?

Back

To compare the absolute values, calculate the absolute value of each number and then compare the resulting non-negative numbers.

Front

What is the absolute value of |-10|?

Back

10

Front

What is the absolute value of |3|?

Back

3

Front

If |x| > |y|, what can you say about x and y?

Back

x is farther from zero than y on the number line.

Front

What is the absolute value of |-7|?

Back

7

Front

Is the absolute value of a negative number always greater than zero?

Back

Yes, the absolute value of a negative number is always positive.

Front

What is the absolute value of |0|?

Back

0

Front

If |a| = |b|, what can be inferred about a and b?

Back

a could be equal to b or a could be the negative of b.