How do you position a group of numbers that include decimals, fractions and integers on a number line?

In this lesson you will learn about locating rational numbers by using a number line.

Let’s Review

A Common Mistake Not realizing that fractions and decimals describe the same point on a line

Core Lesson These can be changed to all fractions or all decimals

Change to Decimals -8.2, -8.3, -8.7, -8.6

Core Lesson -8.7, -8.6, -8.3, , -8.3, -8.7, -8.6 l l l l l l l l l l l

Core Lesson Change to Fractions

Core Lesson l l l l l l l l l l l -9 -8

Core Lesson What about if we don’t change them at all?

Core Lesson l l l l l l l l l l l

Core Lesson l l l l l

Core Lesson

Core Lesson

Core Lesson

Core Lesson

In this lesson you have learned about locating rational numbers by using a number line.

Guided Practice / /4 2.35

Guided Practice / /10 1.8

Extension Activities Take a number line and put some marks on it. Challenge your partner to come up with a decimal number for the point while you come up with a fraction. Take turns trading off who does the decimal and who does the fraction.

Make at least 20 cards with signed fractions or decimals. Divide the cards between you and your partner. Each of you turn over a card at the same time. Whoever has has the higher card takes both cards. Play continues until one person has all the cards. Hint: You can use rational numbers from this slideshow.

Quick Quiz

Quick Quiz