NS 1.

9*1)
&&66 Identify 8QGHUVWDQGDIUDFWLRQDVDQXPEHURQWKHQXPEHUOLQHUHSUHVHQW
on a number line the relative position of positive UNDERLYING SKILLS AND CONCEPTS:
fractions, positive mixed numbers, and positive decimals to two
IUDFWLRQVRQDQXPEHUOLQHGLDJUDP meaning of fractions;
decimal places. meaning of decimals;
&&66 *1) ([SODLQZK\DIUDFWLRQDELVHTXLYDOHQWWRDIUDFWLRQQ[DQ[E interpret number line models
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UHFRJQL]HDQGJHQHUDWHHTXLYDOHQWIUDFWLRQV

Identify Fractions and Decimals on a

Number Line

A number line can help you find decimal equivalents

ey Ide for fractions and mixed numbers.
a
K

1 1 3 11
0 1 11
4 2 4 4 2

0 1 2 3 4 5
5 11 12
5 5 5 5 5 5 5

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5

0.00 0.25 0.50 0.75 1.00 1.25 1.5

From the number line you can see that 1 1! is equivalent to 1.5.
2

E x am p l E 1

D – © CSL Associates, Inc. All rights reserved.

Use the number line.
What mixed number is equivalent to 1.4 (one and four tenths)?
Notice that 1 2! identifies the same point. So, you can write 1.4 as 1 2! .
5 5

E x am p l E 2
Graph these numbers on the number line: 1! , 0.3, and 0.8.
2

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5

Notice that 1! is the same as 0.5 (five tenths).

2

page 164 Chapter 14 – Lesson 4

 Name

P RAC T I C E

Write a decimal that names the same point on the number line.
1 1 3 2 1 3 7 4 9
2
11 11 13 12 11
10 5 10 5 5 10 5 10 10 5 10 5 2

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5

1. 1 0.5 2. 1 1 1.2 3. 1 2 1.4 4. 10

1
2 5 5 10

5. 3 0.6 3
6. 1 1.3 7
7. 0.7 0
8. 0
5 10 10 10
Write the letter that shows each fraction, mixed number, or decimal.
A B C D E F G H I
0 1 2
9. 22 E 10.
18
4
G 11.
18
2
F 6
12. 3 I
13. 1.75 H 14. 14 B 15. 0.75 D 6

16. 12 C

Circle the fraction or mixed number that is equivalent to the decimal.

D – © CSL Associates, Inc. All rights reserved.

1 1 2 1 2 6
17. 0.2 18. 0.4 19. 1.4 11
12
114

5 2 10 4 5 10 4 5 10

1 9 9 1 8 10 2 1
20. 0.9 21. 0.8
8
22. 2.1 2 221

9 1 10 10 8 1 10 10

23. 1.2 11
11

2
1 24. 0 0

1

1
25. 4.5 45

5
4 45

2 5 12 1 1 10 1 10 10
Math
Reasoning Number Sense MR 1.1

26. Write the letter that shows where 23

is located on this number line.
4
A B C D E F G H I J K L M N O P Q
0 1 2 3 4
At point L. There are 4 divisions
Explain how you decided.
between each number. So each division is 1
.
4
Chapter 14 – Lesson 4 page 165
MCX94.HW.CL.G4.FM&Lesson.v211 8/2/04 19:16 Page 112

Name

…at home!
P RAC T I C E

Write a decimal that names the same point on the number line.
1 1 3 2 1 3 7 4 9 10
2
11 11 13 12 11
10 5 10 5 5 10 5 10 10 10 5 10 5 2

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5

1. 1 0.2 2. 1 2 1.4 3
3. 1 1.3 5
4. 1
5 5 10 5

3
5. 0.3 6. 1 1 1.2 7. 3 0.6 8. 0 0
10 5 5 5
Write the letter that shows each fraction, mixed number, or decimal.
A B C D E F G H I
0 1 2
9. 42 I 10. 1 68 H 11. 41 B 12. 1 2
1
G
13. 0.5 C 14. 1 14 F 15. 1.75 H 6
16. E
6

Circle the fractions or mixed numbers that are equivalent to the decimal.

D – © CSL Associates, Inc. All rights reserved.

2 1 4 1 2 5
17. 0.4 18. 0.5 19. 1.2 11
11
112

5 2 10 2 5 10 4 5 10

1 8 8 1 3 10 2 3
20. 0.8 21. 0.3
3
22. 2.3 2 223

8 1 10 10 3 3 10 10

23. 1.6 11
13

2
1 24. 0 0

2

2
25. 2.5 25

5
2 25

2 5 12 2 2 10 1 10 10
Math
Reasoning Number Sense MR 1.1

26. Write the letter that shows where 13

is located on this number line.
4
A B C D E F G H I J K L M N O P Q
0 1 2 3 4
At point H. There are 4 divisions
Explain how you decided.
between each number. So each division is 1
.
4
page 112 Home Resource and Homework Chapter 14 Lesson 4
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:01 Page 305

Name

P RAC T I C E

Write a decimal that names the same point on the number line.
1 1 3 2 1 3 7 4 9
2
11 11 13 12 11
10 5 10 5 5 10 5 10 10 5 10 5 2

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5

1. 1 0.5 2. 1 1 1.2 3. 1 2 1.4 4. 10

1
2 5 5 10

5. 3 0.6 3
6. 1 1.3 7
7. 0.7 0
8. 0
5 10 10 10
Write the letter that shows each fraction, mixed number, or decimal.
A B C D E F G H I
0 1 2
9. 22 E 10. 1 48 G 11. 1 28 F 6
12. 3 I
13. 1.75 H 14. 14 B 15. 0.75 D 6

16. 12 C

Circle the fraction or mixed number that is equivalent to the decimal.

D – © CSL Associates, Inc. All rights reserved.

1 1 2 1 2 6
17. 0.2 18. 0.4 19. 1.4 11
12
114

5 2 10 4 5 10 4 5 10

1 9 9 1 8 10 2 1
20. 0.9 21. 0.8
8
22. 2.1 2 221

9 1 10 10 8 1 10 10

23. 1.2 11
11

2
1 24. 0 0

1

1
25. 4.5 45

5
4 45

2 5 12 1 1 10 1 10 10
Math
Reasoning Number Sense MR 1.1

26. Write the letter that shows where 23

is located on this number line.
4
A B C D E F G H I J K L M N O P Q
0 1 2 3 4
At point L. There
Explain how you decided. are 4 divisions
1
between each number. So each division is .
4
Chapter 14 – Lesson 4 Student Book Page page 165
Name

…at home!
P RAC T I C E

Write a decimal that names the same point on the number line.
1 1 3 2 1 3 7 4 9 10
2
11 11 13 12 11
10 5 10 5 5 10 5 10 10 10 5 10 5 2

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5

1. 1 0.2 2. 1 2 1.4 3
3. 1 1.3 5
4. 1
5 5 10 5

3
5. 0.3 6. 1 1 1.2 7. 3 0.6 8. 0 0
10 5 5 5
Write the letter that shows each fraction, mixed number, or decimal.
A B C D E F G H I
0 1 2
9. 42 I 10.
18
6
H 11. 41 B 1
12. 1 2 G
13. 0.5 C 14. 1 14 F 15. 1.75 H 6
16. E
6

Circle the fractions or mixed numbers that are equivalent to the decimal.

D – © CSL Associates, Inc. All rights reserved.

2 1 4 1 2 5
17. 0.4 18. 0.5 19. 1.2 11
11
112

5 2 10 2 5 10 4 5 10

1 8 8 1 3 10 2 3
20. 0.8 21. 0.3
3
22. 2.3 2 223

8 1 10 10 3 3 10 10

23. 1.6 11
13

2
1 24. 0 0

2

2
25. 2.5 25

5
2 25

2 5 12 2 2 10 1 10 10
Math
Reasoning Number Sense MR 1.1

26. Write the letter that shows where 13

is located on this number line.
4
A B C D E F G H I J K L M N O P Q
0 1 2 3 4
At point H. There are 4 divisions
Explain how you decided.
between each number. So each division is 1
.
4
page 112 Home Resource and Homework Chapter 14 Lesson 4