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

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

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

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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.

9.25 9 9.2

9.25

9.

9.2

00

0

9 9.2 9.25

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

- These can be changed to all fractions or all decimals

- Change to Decimals

-8.2, -8.3, -8.7, -8.6

-8.2, -8.3, -8.7, -8.6

-8.6

-8.3

-8.2

-8.7

- -8.7, -8.6, -8.3, -8.2

l l l l l l l l l l l

-8

-9

- Change to Fractions

l l l l l l l l l l l

-8

-9

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

-8.7

-8.2

l l l l l l l l l l l

-8

-9

-8.3

-8.7

l l l l l l l l l l

-9

-8

-6.95

-7

-6

-6.7

-6

-6.7

-6.95

-7

-2.3

2.2

-3

-1

-2

2

0

1

3

10

5

2.2

0

-2.3

-5

-10

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

- 2 3/4

2 4/5

-2.3

2.35

-2

2

-3

-1

0

1

3

-11/10

1 1/10

-2

-1

-0.7

0

1.8

1

2

- Make a large number line from -10 to 10. Leave a lot of room between numbers.
- Write down positive and negative fractions and decimals between -10 and 10. Locate the numbers on the number line.
- If working with a group, make a number line large enough to walk on. Have the group arrange themselves correctly on the number line.

- 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 either a fraction or decimal on it. 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.
- To make it harder, limit the value of the cards, i.e. all numbers must be between -5 and 5.

-2

-1

0

1

2

-2

-1

0

1

2