Understanding Rational Numbers and Absolute Value on the Number Line

This lesson explores the relationship between rational numbers and absolute value using a number line. It begins by defining opposites as numbers equidistant from zero on opposite sides of the number line. The concept of absolute value is explained as the distance from zero, with examples illustrating that both positive and negative numbers have the same absolute value. Common misconceptions about absolute value are addressed. The lesson provides examples of rational numbers, including whole numbers, fractions, and decimals, and demonstrates how to calculate their absolute values. The lesson concludes by summarizing the key points and reinforcing the understanding of these mathematical concepts.

What is the absolute value of -3?

• 0

• 6

• 3

• -3

Which of the following is a rational number?

• Square root of 2

• Pi

• 1.5

• e

What is the opposite of 2.25 on the number line?

• -2.25

• 4.5

• 2.25

• 0

If a number is 7 and 1/4 units from 0, what is its absolute value?

• 0

• 14 and 1/2

• 7 and 1/4

• -7 and 1/4

How many numbers are 5 and 1/2 units away from 0 on the number line?

• 3

• 2

• 4

• 1