This document provides instructions for comparing and ordering decimals. It explains how to: 1) Compare decimals by lining up the decimal points, finding the first differing digit, comparing that digit, and using <, >, or =. 2) Order decimals from least to greatest by lining up decimal points, annexing zeros, and comparing place values. 3) Order decimals from greatest to least using the same steps. Worked examples and practice problems are provided to demonstrate comparing and ordering decimals.

1. Comparing and Ordering
Decimals

2. The purpose of today’s lesson is to:
 Compare decimals
Ex: 2.4 > 2.04
 Order decimals
1.02, 1.25, 1.50 (least to greatest)
1.50, 1.25, 1.02 (greatest to least)

3. Reviewing Place Values
Hundreds Tens Ones Tenths Hundredths
0 0 7 2 9
To the hundredths place!
How do we say this in words?

4. Reading Decimals
In words, 7.29 is seven and twenty-nine hundredths
Decimals to the hundredths place value!

5. Reviewing Place Values
Hundreds Tens Ones Tenths Hundredths Thousandths
0 6 3 1 7 4
To the Thousandths Place!
How do we say this in words?
Lets take a look…

6. Reading Decimals
Decimals to the thousandths place:
In words, 63.174 is sixty-three and one hundred
seventy-four thousandths.

7. Reading Decimals
 2.4 =
Two and four tenths
 2.04 =
Two and four hundredths
 2.004 =
Two and four thousandths

8. Comparing Decimals
How does this work?

9. Comparing Decimals
 Step 1: Line up the decimal points
 Step 2: Find the first place where the digits differ
 Step3: Compare the differing digits
 Step 4: Use <, >, or = to state your answer

10. Comparing Decimals
Example :
 Line up the decimal points 68.563
68.5603
 Starting at the left, find the first
place the digits differ
 Compare the digits 3 > 0
 Since 3 > 0
(three is greater than zero)
68.563 > 68.5603
How do we compare decimals:

11. Comparing Decimals: Practice
 Practice:
4.08 4.060
 Answer:
4.08 > 4.060
 Practice:
50.030 50.031
Use >, <, or = to compare each pair of decimals.
Answer:
50.030 < 50.031

12. Ordering Decimals
 How do we go from least to greatest?
 How do we go from greatest to least?
New Visions Technology Inc.

13. Ordering Decimals
How do we order decimals:
Step 1 Step 2 Step 3
Line up the decimal
points
Annex zeros so
that each has the
same number of
decimal places.
Use place value to
compare and order the
decimals.

14. Ordering Decimals
Step 1 Step 2 Step 3
Line up the decimal
points
Annex zeros so
that each has the
same number of
decimal places.
Use place value to
compare and order the
decimals.
Example
4.073
4.73
4.0073
4
4.0730
4.7300
4.0073
4.0000
4.000
4.0073
4.0730
4.7300
From Least to Greatest

15. Ordering Decimals
Step 1 Step 2 Step 3
Line up the decimal
points
Annex zeros so
that each has the
same number of
decimal places.
Use place value to
compare and order the
decimals.
Example
3.074
3.73
3.0073
3
3.0740
3.7300
3.0073
3.0000
3.7300
3.0740
3.0073
3.0000
From Greatest to Least

16. Ordering Decimals: Practice
 Order from Least to Greatest:
 3.01, 3.009, 3.09, 3.0001
 Order from Greatest to Least:
 45.303, 45.003, 45.03, 45.033

Answer- 3.0001, 3.009, 3.01, 3.09
Answer- 45.303, 45.033, 45.03, 45.003

17. Review: Comparing Decimals
 Step 1: Line up the decimal points
 Step 2: Find the first place where the digits differ
 Step3: Compare the differing digits
 Step 4: Use <, >, or = to state your answer

18. Step 1 Step 2 Step 3
Line up the decimal points Annex zeros so that
each has the same
number of decimal
places.
Use place value to
compare and order the
decimals.
Review: Ordering Decimals
New Visions Technology Inc.

19. Image References
 Cool Math: Place Values for Decimals
 MathTeacher.com
 HelpingwithMath.com
 Google Images