Download Compare and Order Decimals

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Estimate,
round, and manipulate very large (e.g., millions) and
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UNDERLYING SKILLS AND CONCEPTS:
very small (e.g., thousandths) numbers.
understand decimals; understand
decimal place value; compare
numbers; order numbers
Compare and Order Decimals
A number line can help you compare two decimals.
The decimal that is the most to the right is the greatest of the two.
I am on
the right.
So I am
greater.
Hey!
I am on
the left
of him.
20.8
20.81 20.82 20.83 20.84 20.85 20.86 20.87 20.88 20.89
20.9
10.91
Another way to compare decimals is to write them in a place value table.
As you go from the left to the right, the decimal with the first digit that is greater
is the greater of the two.
So, the
Tens
Ones
Tenths
Hundredths Thousandths
6
,
4
2
5
.
1
2
7
6
,
4
2
5
.
1
4
0
They all look the
same to me here.
E x am p l E
second
decimal is
greater!
4 is greater
than 2.
E – © CSL Associates, Inc. All rights reserved.
Thousands Hundreds
1
Is 3.17 greater than 3.21? On the number line, mark 3.17 with an X and 3.21 with O.
3.1
3.11
3.12
3.13
3.14
3.15
3.16
X
3.17
3.18
3.19
3.2
O
3.21
Which one is the most on the right? The O. So, 3.21 is greater than 3.17.
3.17 is smaller than 3.21.
E x am p l E
Which decimal
is greater?
3,709.810
2
Thousands Hundreds
3
3
,
,
7
7
Tens
0
0
Ones
9
9
Tenths
.
.
8
8
Hundredths Thousandths
1
0
0
9
same
page 140
Chapter 12 – Lesson 4
Name
P RAC T I C E
Put letters on the number line to show the decimals. Use or to indicate which is greater.
1. Put an O at 9.11
Put an X at 8.99
9.11
>
8.99
8.99
9.01
9
9.02
9.03
9.04
9.05
9.06
9.07
9.08
9.09
9.11
9.1
Put letters on the number line to show the decimals. Write them from least to greatest.
2. Put an O at 9.01
8.99
9.01
9
8.99 9.01 9.07
Put an X at 8.99 Put a V at 9.07
9.02
9.03
9.04
9.05
9.06
9.07
9.08
9.09
9.11
9.1
Write the decimals in the place value table. Then, write them from least to greatest.
3.
Thousands Hundreds
Write 1,360.927
Write 2,097.359
Write 2,097.342
Tens
,
,
Tenths
Hundredths Thousandths
.
.
1,360.927 2,097.342 2,097.359
From least to greatest, they are:
E – © CSL Associates, Inc. All rights reserved.
Ones
Compare. Use , , or .
4. 0.2
8. 4.231
>
>
0.02
4.213
5. 1.9
9. 6.009
<
<
2
6.01
6. 2.07
10. 10.93
<
>
2.7
10.9
7. 3.09
11. 11.27
<
<
3.13
12.35
Answer each question.
12. Randy ran the race in 35.29 seconds. Larry ran it in 35.32 seconds.
Who came in first?
13. Sandra saw a dress advertised for $35.45 in store A, and for
$35.54 in store B. Which store is more expensive?
Math
Reasoning
Compare and Sequence
Randy
Store B
MR 2.3, 2.6
14. What is the difference between 0.05, 0.5, and 0.50?
Explain your answer, and tell which number is the smallest.
0.05 is five hundredths, 0.5 is five tenths, 0.50 is fifty hundredths.
Fifty out of one hundred is the same as five out of ten.
0.05 is the smallest amount.
Chapter 12 – Lesson 4
page 141
MCX94.HW.CL.G5.FM&Lesson.v211
8/2/04
18:02
Page 96
Name
…at home!
P RAC T I C E
Put letters on the number line to show the decimals. Use or to indicate which is greater.
1. Put an O at 9.09
Put an X at 9.11
9.09
<
9.11
8.99
9.01
9
9.02
9.03
9.04
9.05
9.06
9.07
9.08
9.09
9.11
9.1
Put letters on the number line to show the decimals. Write them from least to greatest.
2. Put an O at 5.291
5.289
Put an X at 5.301
<
5.291
5.291 5.292 5.293 5.294 5.295 5.296 5.297 5.298 5.299
5.29
5.301
5.3
5.301
Write the decimals in the place value table. Then, write them from least to greatest.
Thousands Hundreds
Write 1,260.843
Write 2,163.850
Write 2,163.846
Tens
Ones
,
,
Tenths
Hundredths Thousandths
.
.
,
1,260.843
From least to greatest, they are:
2,163.846
2,163.850
Compare. Use , , or .
4. 0.4
8. 4.251
>
>
0.04
4.215
5. 2.8
9. 6.018
<
<
3
6.02
6. 2.05
10. 10.46
<
>
2.5
10.4
7. 2.09
11. 12.46
<
<
2.14
12.52
Answer each question.
12. Rafael ran the race in 28.25 seconds. John ran it in 28.31 seconds.
Rafael
Who came in first?
13. Marcia saw a dress advertised for $28.65 in store A, and for
$28.56 in store B. Which store is more expensive?
Math
Reasoning
Store A
Compare and Sequence
MR 2.3, 2.6
14. What is the difference between 0.08, 0.8, and 0.80?
Explain your answer, and tell which number is the smallest.
0.08 is eight hundredths, 0.8 is eight tenths,
0.80 is eighty hundredths. Eighty out of one hundred is
the same as eight out of ten. 0.08 is the smallest amount.
page 96
Home Resource and Homework
Chapter 12 Lesson 4
E – © CSL Associates, Inc. All rights reserved.
3.
MCX94TEG5CH01_32.v7.4.2 2/24/01 19:45 Page 261
Name
P RAC T I C E
Put letters on the number line to show the decimals. Use or to indicate which is greater.
1. Put an O at 9.11
Put an X at 8.99
9.11
>
8.99
X
8.99
9.01
9
9.02
9.03
9.04
9.05
9.06
9.07
9.08
9.09
O
9.11
9.1
Put letters on the number line to show the decimals. Write them from least to greatest.
2. Put an O at 9.01
X
8.99
O
9.01
9
8.99 9.01 9.07
Put an X at 8.99 Put a V at 9.07
9.02
9.03
9.04
9.05
9.06
V
9.07
9.08
9.09
9.11
9.1
Write the decimals in the place value table. Then, write them from least to greatest.
3.
Thousands Hundreds
Write 1,360.927
Write 2,097.359
Write 2,097.342
1
2
2
,
,
Tens
3
0
0
6
9
9
0
7
7
Tenths
Hundredths Thousandths
9
3
3
.
.
2
5
4
7
9
2
1,360.927 2,097.342 2,097.359
From least to greatest, they are:
E – © CSL Associates, Inc. All rights reserved.
Ones
Compare. Use , , or .
4. 0.2
8. 4.231
>
>
0.02
4.213
5. 1.9
9. 6.009
<
<
2
6.01
6. 2.07
10. 10.93
<
>
2.7
10.9
7. 3.09
11. 11.27
<
<
3.13
12.35
Answer each question.
12. Randy ran the race in 35.29 seconds. Larry ran it in 35.32 seconds.
Who came in first?
13. Sandra saw a dress advertised for $35.45 in store A, and for
$35.54 in store B. Which store is more expensive?
Math
Reasoning
Compare and Sequence
Randy
Store B
MR 2.3, 2.6
14. What is the difference between 0.05, 0.5, and 0.50?
Explain your answer, and tell which number is the smallest.
0.05 is five hundredths, 0.5 is five tenths, 0.50 is fifty hundredths.
Fifty out of one hundred is the same as five out of ten.
0.05 is the smallest amount.
Chapter 12 – Lesson 4
Student Book Page
page 141
Name
…at home!
P RAC T I C E
Put letters on the number line to show the decimals. Use or to indicate which is greater.
1. Put an O at 9.09
Put an X at 9.11
9.09
<
9.11
O
8.99
9.01
9
9.02
9.03
9.04
9.05
9.06
9.07
9.08
X
9.09
9.11
9.1
Put letters on the number line to show the decimals. Write them from least to greatest.
2. Put an O at 5.291
Put an X at 5.301
<
5.291
5.301
X
O
5.289
5.291 5.292 5.293 5.294 5.295 5.296 5.297 5.298 5.299
5.29
5.3
5.301
Write the decimals in the place value table. Then, write them from least to greatest.
Thousands Hundreds
Write 1,260.843
Write 2,163.850
Write 2,163.846
1
2
2
,
,
,
2
1
1
Tens
Ones
6
6
6
0
3
3
Tenths
8
8
8
.
.
1,260.843
From least to greatest, they are:
Hundredths Thousandths
4
5
4
2,163.846
3
0
6
2,163.850
Compare. Use , , or .
4. 0.4
8. 4.251
>
>
0.04
4.215
5. 2.8
9. 6.018
<
<
3
6.02
6. 2.05
10. 10.46
<
>
2.5
10.4
7. 2.09
11. 12.46
<
<
2.14
12.52
Answer each question.
12. Rafael ran the race in 28.25 seconds. John ran it in 28.31 seconds.
Rafael
Who came in first?
13. Marcia saw a dress advertised for $28.65 in store A, and for
$28.56 in store B. Which store is more expensive?
Math
Reasoning
Store A
Compare and Sequence
MR 2.3, 2.6
14. What is the difference between 0.08, 0.8, and 0.80?
Explain your answer, and tell which number is the smallest.
0.08 is eight hundredths, 0.8 is eight tenths,
0.80 is eighty hundredths. Eighty out of one hundred is
the same as eight out of ten. 0.08 is the smallest amount.
page 96
Home Resource and Homework
Chapter 12 Lesson 4
E – © CSL Associates, Inc. All rights reserved.
3.