Use Decimal Place Value

NS 1.6*1)
Write tenths
and hundredths in decimal and fraction notation,
&&66
8VHGHFLPDOQRWDWLRQIRUIUDFWLRQVZLWKGHQRPLQDWRUVRU)RU
H[DPSOHUHZULWHDVGHVFULEHDOHQJWKDVPHWHUVORFDWHRQD
and know the fraction and decimal equivalents for halves,
QXPEHUOLQHGLDJUDP
1
7
3
fourths (e.g., $2 # 0.5 or 0.50; $4 # 1 $4 # 1.75).
UNDERLYING SKILLS AND CONCEPTS:
place value;
meaning of decimals;
expanded notation
Use Decimal Place Value
The value of a digit is the product of the digit and its place value.
The value of each place in a number is one tenth of the value
of the digit to its left.
a
K
ey Ide
Thousands Hundreds
Tens
Ones
,
7
1
!
!
2
!
1,000
8
!
100
10
Tenths
.
1
Hundredths Thousandths
3
4
!
5
!
0.1
!
0.01
0.001
= (2 ! 1,000) " (8 ! 100) " (7 ! 10) " (1 ! 1) " (3 ! 0.1) " (4 ! 0.01) " (5 ! 0.001)
= 2,871.345
1
A 50-meter swimming pool is 54.7 yards long.
What is the value of 7 in this number?
1
7 is in the tenths place, so multiply 7 ! $
.
10
1
7
7!$
#$
or 0.7
10
10
Tens
Ones
5
4
!
!
Tenths
.
7
!
10
1
0.1
= (5 ! 10) " (4 ! 1) " (7 ! 0.1)
= 54.7
E x am p l E
2
There was 1.02 inches of rain in Fresno.
What is the value of 2 in this number?
2 is in the hundredths place.
1
$.
So multiply 2 ! 100
1
2
$ # $ or 0.02
2 ! 100
100
page 126
Ones
1
!
.
Tenths
Hundredths
0
2
!
!
1
0.1
0.01
= (1 ! 1) " (0 ! 0.1) " (2 ! 0.01)
= 1.02
Chapter 11 – Lesson 3
D – © CSL Associates, Inc. All rights reserved.
E x am p l E
Name
P RAC T I C E
Give the value of the 4 in each
number.
1. 342.09
40
7. 0.06
0.06
2. 476.5
400
8. 5.62
0.6
3. 98.47
0.4
9. 672.9
600
4. 64.2
4
10. 476.21
6
5. 87.04
0.04
11. 75.6
0.6
6. 296.48
0.4
12. 21.86
0.06
What digit is in the
tenths place?
D – © CSL Associates, Inc. All rights reserved.
Give the value of the 6 in each
number.
What digit is in the
hundredths place?
13. 723.904
9
16. 150,071.341
4
14. 5,165.165
1
17. 13,965.109
0
15. 1,937,931.691
6
18. 1,443,175.719
1
What is the value of the 2?
2 hundredths 0.02
19. 945.021
2 thousandths 0.002
20. 46,135.132
Answer each question.
21. Lee’s batting average is 0.278.
What is the value of the 7 in this number?
0.07 (seven hundredths)
22. A 10-kilometer race is 6.21 miles.
What is the value of the 2 in this number?
0.2 (two tenths)
Math
Reasoning
Mystery Number
MR 1.1
23. I am a three-digit number.
I am the largest number you can write with 6 in the hundredths place.
Who am I?
9.96
Chapter 11 – Lesson 3
page 127
MCX94.HW.CL.G4.FM&Lesson.v211
8/2/04
19:16
Page 86
Name
…at home!
P RAC T I C E
Give the value of the 4 in each
number.
Give the value of the 6 in each
number.
1. 246.08
40
7. 1.06
0.06
2. 498.1
400
8. 4.63
0.6
3. 87.49
0.4
9. 653.4
600
4. 54.7
4
10. 486.23
6
5. 81.34
0.04
11. 81.6
0.6
6. 357.42
0.4
12. 59.86
0.06
What digit is in the
hundredths place?
13. 754.807
8
16. 262,062.243
4
14. 6,431.295
2
17. 45,639.326
2
15. 2,743,612.526
5
18. 2,554,263.608
0
What is the value of the 2?
2 hundredths 0.02
19. 875.024
2 tenths 0.2
20. 49,764.26
Answer each question.
21. Joe’s batting average is 0.275.
What is the value of the 7 in this number?
0.07 (seven hundredths)
22. A 10-kilometer race is 6.21 miles.
What is the value of the 1 in this number?
0.01 (one hundredth)
Math
Reasoning
Mystery Number
MR 1.1
23. I am a three-digit number.
I am the largest number you can write with 8 in the hundredths place.
Who am I?
9.98
page 86
Home Resource and Homework
Chapter 11 Lesson 3
D – © CSL Associates, Inc. All rights reserved.
What digit is in the
tenths place?
MCX94TEG4Ch01_32.v8.5.2 2/26/01 19:00 Page 235
Name
P RAC T I C E
Give the value of the 4 in each
number.
1. 342.09
40
7. 0.06
0.06
2. 476.5
400
8. 5.62
0.6
3. 98.47
0.4
9. 672.9
600
4. 64.2
4
10. 476.21
6
5. 87.04
0.04
11. 75.6
0.6
6. 296.48
0.4
12. 21.86
0.06
What digit is in the
tenths place?
D – © CSL Associates, Inc. All rights reserved.
Give the value of the 6 in each
number.
What digit is in the
hundredths place?
13. 723.904
9
16. 150,071.341
4
14. 5,165.165
1
17. 13,965.109
0
15. 1,937,931.691
6
18. 1,443,175.719
1
What is the value of the 2?
2 hundredths 0.02
19. 945.021
2 thousandths 0.002
20. 46,135.132
Answer each question.
21. Lee’s batting average is 0.278.
What is the value of the 7 in this number?
0.07 (seven hundredths)
22. A 10-kilometer race is 6.21 miles.
What is the value of the 2 in this number?
0.2 (two tenths)
Math
Reasoning
Mystery Number
MR 1.1
23. I am a three-digit number.
I am the largest number you can write with 6 in the hundredths place.
Who am I?
9.96
Chapter 11 – Lesson 3
Student Book Page
page 127
Name
…at home!
P RAC T I C E
Give the value of the 4 in each
number.
Give the value of the 6 in each
number.
1. 246.08
40
7. 1.06
0.06
2. 498.1
400
8. 4.63
0.6
3. 87.49
0.4
9. 653.4
600
4. 54.7
4
10. 486.23
6
5. 81.34
0.04
11. 81.6
0.6
6. 357.42
0.4
12. 59.86
0.06
What digit is in the
hundredths place?
13. 754.807
8
16. 262,062.243
4
14. 6,431.295
2
17. 45,639.326
2
15. 2,743,612.526
5
18. 2,554,263.608
0
What is the value of the 2?
2 hundredths 0.02
19. 875.024
2 tenths 0.2
20. 49,764.26
Answer each question.
21. Joe’s batting average is 0.275.
What is the value of the 7 in this number?
0.07 (seven hundredths)
22. A 10-kilometer race is 6.21 miles.
What is the value of the 1 in this number?
0.01 (one hundredth)
Math
Reasoning
Mystery Number
MR 1.1
23. I am a three-digit number.
I am the largest number you can write with 8 in the hundredths place.
Who am I?
9.98
page 86
Home Resource and Homework
Chapter 11 Lesson 3
D – © CSL Associates, Inc. All rights reserved.
What digit is in the
tenths place?