NS 1.9*1)
Identify 8QGHUVWDQGDIUDFWLRQDVDQXPEHURQWKHQXPEHUOLQHUHSUHVHQW
on a number line the relative position of positive
&&66
IUDFWLRQVRQDQXPEHUOLQHGLDJUDP
fractions, positive mixed numbers, and positive decimals to two
UNDERLYING SKILLS AND CONCEPTS:
meaning of fractions;
meaning of decimals;
interpret number line models
decimal places.
&&66 *1)
([SODLQZK\DIUDFWLRQDELVHTXLYDOHQWWRDIUDFWLRQQ[DQ[E
E\XVLQJYLVXDOIUDFWLRQPRGHOVZLWKDWWHQWLRQWRKRZWKHQXPEHUDQGVL]HRIWKHSDUWV
GLIIHUHYHQWKRXJKWKHWZRIUDFWLRQVWKHPVHOYHVDUHWKHVDPHVL]H8VHWKLVSULQFLSOHWR
UHFRJQL]HDQGJHQHUDWHHTXLYDOHQWIUDFWLRQV
Identify Fractions and Decimals on a
Number Line
a
K
ey Ide
A number line can help you find decimal equivalents
for fractions and mixed numbers.
1
4
0
0
5
1
5
1
2
2
5
3
4
3
5
11
1
5
5
4
5
11
4
2
11
12
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.
E x am p l E
1
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
E x am p l E
5
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
D – © CSL Associates, Inc. All rights reserved.
2
Name
P RAC T I C E
Write a decimal that names the same point on the number line.
1
10
1
5
3
10
1
2
2
5
3
5
7
10
4
5
9
10
11
10
11
5
13
10
12 11
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
5. 3
0.6
3
6. 1 1.3
7
7. 0.7
0
8. 0
2
5
5
10
5
10
10
10
Write the letter that shows each fraction, mixed number, or decimal.
A
B
C
D
E
0
G
H
I
1
9. 22
13. 1.75
D – © CSL Associates, Inc. All rights reserved.
F
4
18
E
10.
H
14. 14
2
2
18
G
11.
B
15. 0.75
F
6
12. 3
I
D
6
16. 12
C
Circle the fraction or mixed number that is equivalent to the decimal.
17. 0.2
1
5
1
2
2
10
18. 0.4
1
4
2
5
6
10
19. 1.4 11
20. 0.9
1
9
9
1
9
10
21. 0.8
1
8
8
10
10
8
22. 2.1
11
2
1
24. 0
0
1
1
1
1
10
25. 4.5 45
23. 1.2 11
2
5
12
Math
Reasoning
114
12
4
5
10
1
2
221
2
1
10
5
4
1
10
10
45
10
Number Sense
MR 1.1
is located on this number line.
26. Write the letter that shows where 23
4
A
0
B
C
D
E
F
1
G
H
I
2
J
K
L
M
3
N
O
P
Q
4
At point L. There are 4 divisions
between each number. So each division is 1
.
Explain how you decided.
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
10
1
5
3
10
1
2
2
5
3
5
7
10
4
5
9
10
10
10
11
10
11
5
13
10
12 11
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
3
5. 0.3
6. 1 1
1.2
7. 3
0.6
8. 0
0
5
10
5
5
10
5
5
5
Write the letter that shows each fraction, mixed number, or decimal.
B
C
D
E
0
F
G
H
I
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. 6
E
Circle the fractions or mixed numbers that are equivalent to the decimal.
17. 0.4
2
5
1
2
4
10
18. 0.5
1
2
2
5
5
10
19. 1.2 11
20. 0.8
1
8
8
1
8
10
21. 0.3
1
3
3
10
10
3
22. 2.3
13
2
1
24. 0
0
2
2
2
2
10
25. 2.5 25
23. 1.6 11
2
5
12
Math
Reasoning
11
4
5
112
10
3
2
223
2
3
10
5
2
1
10
10
25
10
Number Sense
MR 1.1
is located on this number line.
26. Write the letter that shows where 13
4
A
0
B
C
D
E
F
1
G
H
I
J
K
L
2
M
3
N
O
P
Q
4
At point H. There are 4 divisions
between each number. So each division is 1
.
Explain how you decided.
4
page 112
Home Resource and Homework
Chapter 14 Lesson 4
D – © CSL Associates, Inc. All rights reserved.
A
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
10
1
5
3
10
1
2
2
5
3
5
7
10
4
5
9
10
11
10
11
5
13
10
12 11
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
5. 3
0.6
3
6. 1 1.3
7
7. 0.7
0
8. 0
2
5
5
10
5
10
10
10
Write the letter that shows each fraction, mixed number, or decimal.
A
B
C
D
E
0
G
H
I
1
9. 22
13. 1.75
D – © CSL Associates, Inc. All rights reserved.
F
2
E
10. 1 48
G
11. 1 28
F
6
12. 3
I
H
14. 14
B
15. 0.75
D
6
16. 12
C
Circle the fraction or mixed number that is equivalent to the decimal.
17. 0.2
1
5
1
2
2
10
18. 0.4
1
4
2
5
6
10
19. 1.4 11
20. 0.9
1
9
9
1
9
10
21. 0.8
1
8
8
10
10
8
22. 2.1
11
2
1
24. 0
0
1
1
1
1
10
25. 4.5 45
23. 1.2 11
2
5
12
Math
Reasoning
114
12
4
5
10
1
2
221
2
1
10
5
4
1
10
10
45
10
Number Sense
MR 1.1
is located on this number line.
26. Write the letter that shows where 23
4
A
0
B
C
D
E
F
1
G
H
I
J
K
L
2
At point L. There
between each number. So each division is
Explain how you decided.
Chapter 14 – Lesson 4
Student Book Page
M
3
N
O
P
Q
4
are 4 divisions
1
.
4
page 165
Name
…at home!
P RAC T I C E
Write a decimal that names the same point on the number line.
1
10
1
5
3
10
1
2
2
5
3
5
7
10
4
5
9
10
10
10
11
10
11
5
13
10
12 11
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
3
5. 0.3
6. 1 1
1.2
7. 3
0.6
8. 0
0
5
10
5
5
10
5
5
5
Write the letter that shows each fraction, mixed number, or decimal.
B
C
D
E
0
F
G
H
I
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. 6
E
Circle the fractions or mixed numbers that are equivalent to the decimal.
17. 0.4
2
5
1
2
4
10
18. 0.5
1
2
2
5
5
10
19. 1.2 11
20. 0.8
1
8
8
1
8
10
21. 0.3
1
3
3
10
10
3
22. 2.3
13
2
1
24. 0
0
2
2
2
2
10
25. 2.5 25
23. 1.6 11
2
5
12
Math
Reasoning
11
4
5
112
10
3
2
223
2
3
10
5
2
1
10
10
25
10
Number Sense
MR 1.1
is located on this number line.
26. Write the letter that shows where 13
4
A
0
B
C
D
E
F
1
G
H
I
J
K
L
2
M
3
N
O
P
Q
4
At point H. There are 4 divisions
between each number. So each division is 1
.
Explain how you decided.
4
page 112
Home Resource and Homework
Chapter 14 Lesson 4
D – © CSL Associates, Inc. All rights reserved.
A