Math

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