1. Math 5 Comparing and Ordering Decimals part 2
Instructor: Mrs. Tew Turner

2. In this lesson we will learn how to compare decimals that are written to different place values.

3. Math Warm-up = = = = In your Math Notebook Use the boxes below.
Put in your own numbers.
Use the same directions as before.
Try to use mental math. = = = =
What do you notice about your results?

4. Math Warm-up What do you notice about your results?
Why do you think that the answers were the same? Talk to a partner to answer this question.
What do you notice about your results?
I noticed that the answers were the same.

5. In the last lesson you learned how compare and order decimals that are written to the same place value. In this lesson we will answer these questions:
How can you compare decimals if they are written to different place values?
How can you order decimals that are written to different place values?

6. How can you compare decimals that are written to different place values?
Let’s compare the decimals 6.8 and
Step 1
Line up the decimal points.
6.8
6.804

7. How can you compare decimals that are written to different place values?
Let’s compare the decimals 6.8 and
Step 2
Add zeros to the end of the number that has fewer decimal places until it is even with the other number.
6.800
6.804

8. How can you compare decimals?
Let’s compare the decimals 6.8 and
Step 3
Compare digits of the same place value, starting at the left.
6.800
6.804

9. How can you compare decimals?
Let’s compare the decimals 6.8 and
Step 4
Keep comparing digits as you move to the right until you find digits that are different.
6.800
6.804

10. How can you compare decimals?
Let’s compare the decimals 6.8 and
Step 5
Compare.
6.800
6.804
Which is bigger?

11. How can you compare decimals?
6.800
6.804
Which is bigger?
6.804 is bigger than 6.800
In math we say, “6.804 is greater than ”
We write > 6.800

12. Remember in the last lesson you learned that when you see a problem asking you to compare decimals it will look like this:
You will have to put in the >,<, or = sign

13.
You will have to put in the >,<, or = sign
27.2
27.02
Which is greater?

14. 27.2 >
You will have to put in the >,<,= sign
27.20
27.02
Which is greater?
27.20 is greater, so the symbol will open toward it.

15. Try these in your Math Notebook

16. Try these in your Math Notebook
>
<
1.2 > =

17. In the last lesson you learned that ordering decimals is very similar to comparing decimals. It is when you put three or more decimals in order from greatest (biggest) to least (smallest) or least to greatest.

18. Order the following numbers from least to greatest:
1.506, 1.56, 0.8
Make sure to pay attention to what the problem is asking you to do.
This one is asking you to put the numbers in order from the smallest to the largest.

19. Order the following numbers from least to greatest:
1.506, 1.56, 0.8
Step 1: Line up the decimal points
1.506
1.56
0.8

20. Order the following numbers from least to greatest:
1.506, 1.56, 0.8
Step 2: Add zeros to the end of the numbers until they all end in the same place value.
1.506
1.560
0.800

21. Order the following numbers from least to greatest:
1.506, 1.56, 0.8
Step 3: Compare digits of the same place value beginning at the left.
1.506
1.560
0.800

22. Order the following numbers from least to greatest:
1.506, 1.56, 0.8
Step 3: Compare digits of the same place value beginning at the left.
1.506
1.560
this is the least

23. Order the following numbers from least to greatest:
1.506, 1.56, 0.8
Step 4: Continue to compare digits of the same place value beginning at the left.
this is least
1.560
0.800

24. Order the following numbers from least to greatest:
1.506, 1.56, 0.8
Step 5: Write the numbers from least to greatest.
0.8, 1.506, 1.56

25. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 1:

26. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 1: Line up the decimal points.
0.402
0.42
0.375
1.2

27. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 2:
0.402
0.42
0.375
1.2

28. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 2:Add zeros to the end of the numbers until they all end in the same place value.
0.402
0.420
0.375
1.200

29. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 3:
0.402
0.420
0.375
1.200

30. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 3: Compare digits of the same place value beginning at the left.
0.402
0.420
0.375
this is the greatest

31. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 4:
0.402
0.420
0.375
1.200

32. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 4: Continue to compare digits of the same place value beginning at the left.
0.402
this is the greatest
0.375
1.200

33. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 4: Continue to compare digits of the same place value beginning at the left.
0.402
this is the greatest
this is the least
1.200

34. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 5:

35. Order the following numbers from greatest to least:
0.402, 0.42, 0.375, 1.2
Step 5:
1.2, 0.42, 0.402, 0.375

36. Try this in your Math Notebook
Order from least to greatest
6.01 0, , 6 .1
Order from greatest to least
4.09, 3.9, 3.09, 4.19

37. Try this in your Math Notebook
Order from greatest to least
6.01 0, , 6 .1
6.1, 6.010, 0.601
Order from least to greatest
4.09, 3.9, 3.09, 4.19
3.09, 3.9, 4.09, 4.19

38. Decimal Ordering Game
Picture hyperlinked to website

39. Quick Check In your Math Notebook
Why can you add zeros to help you compare decimals that end in different place values?
Write <, >, or = for each

40. Order from greatest to least
Quick Check
Order from greatest to least
, 8.314, 8.598, 8.8
5. There are five types of grains of sand: course, very course, medium, fine, and very fine. A grain of fine sand can have a diameter of millimeters.
Which number is less than 0.125?
A B C D. 0.12

41. Quick Check In your Math Notebook
Why can you add zeros to help you compare decimals that end in different place values?
Write <, >, or = for each =
> 1.4

42. Order from greatest to least
Quick Check
Order from greatest to least
, 8.314, 8.598, 8.8
8.8, 8.598, 8.541, 8.314
5. There are five types of grains of sand: course, very course, medium, fine, and very fine. A grain of fine sand can have a diameter of millimeters.
Which number is less than 0.125?
A B C D. 0.12

43. Good Work with this lesson.
Today you learned how to compare and order decimals written to different place values.