The document provides steps for comparing and ordering whole numbers and decimals. It explains how to line up the numbers by place value and then compare the digits in each place from left to right. For whole numbers, the steps are to compare the hundreds millions place, then tens millions place, and so on, to determine which number is greater. For decimals, the steps are to line up the decimal points and then compare the tenths, hundredths, thousandths places to determine if the decimals are equal.

1. 1-4 Comparing and
Ordering Whole Numbers
and Decimals
Math Notes
Number Sense 1.0 and 1.5

2. Compare...
149,600,000
107,800,000

3. Compare...
149,600,000
107,800,000
STEP ONE:
Compare the
digits in the
hundred
millions
place.

4. Compare...
149,600,000
107,800,000
STEP ONE:
Compare the
digits in the
hundred
millions
place.

5. Compare...
They are the
same.
149,600,000
107,800,000
STEP ONE:
Compare the
digits in the
hundred
millions
place.

6. Compare...
They are the
same.
149,600,000
107,800,000
STEP ONE: STEP TWO:
Compare the Compare the
digits in the digits in the
hundred ten millions
millions place.
place.

7. Compare...
They are the
same.
149,600,000
107,800,000
STEP ONE: STEP TWO:
Compare the Compare the
digits in the digits in the
hundred ten millions
millions place.
place.

8. Compare...
They are the
same.
149,600,000
107,800,000
STEP ONE: STEP TWO:
Compare the Compare the 4 is larger than 0
digits in the digits in the
hundred
therefore,
ten millions
millions place. 149,600,00 > 107,800,000
place.

9. Ordering whole numbers...
149,600,000
228,000,000
57,900,000
107,800,000
...from least to greatest
_______ ________ ________ ________

10. Ordering whole numbers...
STEP ONE:
Line up the 149,600,000
228,000,000
digits in the
ones place.
57,900,000
107,800,000
...from least to greatest
_______ ________ ________ ________

11. Ordering whole numbers...
STEP ONE:
Line up the 149,600,000
228,000,000
digits in the
ones place.
STEP TWO: 57,900,000
Start at the
left and 107,800,000
compare
digits in the
same place.
...from least to greatest
_______ ________ ________ ________

12. Ordering whole numbers...
STEP ONE:
Line up the 149,600,000
228,000,000
digits in the
ones place.
STEP TWO: 57,900,000
Start at the
left and 107,800,000
compare
digits in the
same place.
...from least to greatest
_______ ________ ________ ________

13. Ordering whole numbers...
STEP ONE:
Line up the 149,600,000
228,000,000
digits in the
ones place.
STEP TWO: 57,900,000
Start at the
left and 107,800,000
compare
2 is greater than 1,
digits in the
so 228,00,000 is the
same place. greatest number
...from least to greatest
_______ ________ ________ ________

14. Ordering whole numbers...
STEP ONE:
Line up the
digits in the
149,600,000
ones place.
STEP TWO: 57,900,000
Start at the
left and 107,800,000
compare
digits in the
same place.
...from least to greatest
_______ ________ ________ 228,000,000
________

15. Ordering whole numbers...
STEP ONE:
Line up the
digits in the
149,600,000
ones place.
STEP TWO: 57,900,000
Start at the
left and 107,800,000
compare
57,900,000 doesn’t have
digits in the
a number in the hundred millions
same place.
so it is the least.
...from least to greatest
_______ ________ ________ 228,000,000
________

16. Ordering whole numbers...
STEP ONE:
Line up the
digits in the
149,600,000
ones place.
STEP TWO:
Start at the
left and 107,800,000
compare
digits in the
same place.
...from least to greatest
57,900,000
_______ ________ ________ 228,000,000
________

17. Ordering whole numbers...
STEP ONE: STEP THREE:
Line up the
digits in the
149,600,000 Compare the
next highest
ones place. place value.
STEP TWO:
Start at the
left and 107,800,000
compare
digits in the
same place.
...from least to greatest
57,900,000
_______ ________ ________ 228,000,000
________

18. Ordering whole numbers...
STEP ONE: STEP THREE:
Line up the
digits in the
149,600,000 Compare the
next highest
ones place. place value.
STEP TWO:
Start at the
left and 107,800,000
compare
digits in the
same place.
...from least to greatest
57,900,000
_______ ________ ________ 228,000,000
________

19. Ordering whole numbers...
STEP ONE: STEP THREE:
Line up the
digits in the
149,600,000 Compare the
next highest
ones place. place value.
STEP TWO: 4 is > 0
107,800,000
Start at the is 149,600,000
left and is the next
compare greatest
digits in the number.
same place.
...from least to greatest
57,900,000
_______ ________ ________ 228,000,000
________

20. Ordering whole numbers...
STEP ONE: STEP THREE:
Line up the Compare the
digits in the next highest
ones place. place value.
STEP TWO: 4 is > 0
Start at the is 149,600,000
left and is the next
compare greatest
digits in the number.
same place.
...from least to greatest
57,900,000 107,800,000 149,600,000
_______ ________ ________ 228,000,000
________

21. Ordering decimals 0.71, 0.631, 0.660
...from least to greatest
___________ ___________ ___________

22. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
decimals as
thousandTHS
...from least to greatest
___________ ___________ ___________

23. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
decimals as
thousandTHS
STEP ZERO:
Line up the
decimal points
...from least to greatest
___________ ___________ ___________

24. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
decimals as
thousandTHS
STEP ZERO:
Line up the
decimal points
...from least to greatest
___________ ___________ ___________

25. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
decimals as
0.710
thousandTHS
STEP ZERO:
Line up the
decimal points
...from least to greatest
___________ ___________ ___________

26. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
decimals as
0.710
thousandTHS
0.631
STEP ZERO:
Line up the
decimal points
...from least to greatest
___________ ___________ ___________

27. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
decimals as
0.710
thousandTHS
0.631
STEP ZERO:
Line up the
decimal points
0.660
...from least to greatest
___________ ___________ ___________

28. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
decimals as
0.710 STEP ONE:
thousandTHS
0.631 Compare the
numbers on
0.660
the left
STEP ZERO:
Line up the
decimal points
...from least to greatest
___________ ___________ ___________

29. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
decimals as
0.710 STEP ONE:
thousandTHS
0.631 Compare the
numbers on
0.660
the left
STEP ZERO:
Line up the
decimal points
...from least to greatest
___________ ___________ ___________

30. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
decimals as
0.710 STEP ONE:
thousandTHS
0.631 Compare the
numbers on
0.660
the left
STEP ZERO:
Line up the
decimal points
7 is greater than 6,
making .710
greatest number
...from least to greatest
___________ ___________ ___________

31. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
STEP ONE:
decimals as
thousandTHS
0.631 Compare the
numbers on
0.660
the left
STEP ZERO:
Line up the
decimal points
...from least to greatest
0.710
___________ ___________ ___________

32. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
STEP ONE:
decimals as
thousandTHS
0.631 Compare the
numbers on
0.660
the left
STEP ZERO:
Line up the
decimal points
...from least to greatest
0.710
___________ ___________ ___________

33. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
STEP ONE:
decimals as
thousandTHS
0.631 Compare the
numbers on
0.660
the left
STEP ZERO:
Line up the
decimal points
Since 6 is > 3
0.660 is the next greatest
number
...from least to greatest
___________ ___________ ___________ 0.710

34. Ordering decimals 0.71, 0.631, 0.660
STEP ZERO:
Write all three
STEP ONE:
decimals as
Compare the
thousandTHS
numbers on
the left
STEP ZERO:
Line up the
decimal points
...from least to greatest
0.631 0.660 0.710
___________ ___________ ___________

35. Compare 0.385 & 0.38
0.385 0.38

36. Compare 0.385 & 0.38
0.385 0.38
STEP ZERO (a):
Line the decimals
up

37. Compare 0.385 & 0.38
0.385 0.38
STEP ZERO (a):
Line the decimals
up

38. Compare 0.385 & 0.38
0.385
STEP ZERO (a):
Line the decimals
up
0.38

39. Compare 0.385 & 0.38
0.385
STEP ZERO (a):
Line the decimals
up
STEP ZERO (b):
Add a
0.38
ZERO to 0.38

40. Compare 0.385 & 0.38
0.385
STEP ZERO (a):
Line the decimals
up
STEP ZERO (b):
Add a
0.380
ZERO to 0.38

41. Compare 0.385 & 0.38
0.385
STEP ZERO (a):
Line the decimals
up
STEP ZERO (b):
Add a
0.380
ZERO to 0.38
STEP ONE: Start
comparing the
numbers on the
left (greatest place
value).

42. Compare 0.385 & 0.38
0.385
STEP ZERO (a):
Line the decimals
up
STEP ZERO (b):
Add a
0.380
ZERO to 0.38
STEP ONE: Start
comparing the
numbers on the
left (greatest place
value).

43. Compare 0.385 & 0.38
0.385
STEP ZERO (a):
Line the decimals
up
STEP ZERO (b):
Add a
0.380
ZERO to 0.38
STEP ONE: Start 3 = 3, move on
comparing the the next set. Keep
numbers on the moving until the
left (greatest place numbers differ.
value).

44. Compare 0.385 & 0.38
0.385
STEP ZERO (a):
Line the decimals
up
STEP ZERO (b):
Add a
0.380
ZERO to 0.38
STEP ONE: Start 3 = 3, move on
comparing the the next set. Keep
numbers on the moving until the
left (greatest place numbers differ.
value).

45. Compare 0.385 & 0.38
0.385
STEP ZERO (a):
Line the decimals
up
STEP ZERO (b):
Add a
0.380
ZERO to 0.38
Since 5 is > 0,
STEP ONE: Start
comparing the
3 = 3, move on
the next set. Keep 0.385 > 0.38
numbers on the moving until the
left (greatest place numbers differ.
value).

46. Equal Decimals

47. Equal Decimals
tenths

48. Equal Decimals
tenths
hundredths

49. Equal Decimals
tenths
hundredths
thousandths

50. Equal Decimals
0.6 = 0.60 = 0.600
tenths
hundredths
thousandths

51. Equal Decimals
0.6 = 0.60 = 0.600
0.6
tenths
0.60
hundredths
0.600
thousandths

52. Equal Decimals
0.6 = 0.60 = 0.600 0.68 = 0.680
0.6
tenths
0.60
hundredths
0.600
thousandths

53. Equal Decimals
0.6 = 0.60 = 0.600 0.68 = 0.680
0.6
tenths
0.60 0.68
hundredths
0.600 0.680
thousandths

54. Equal Decimals
0.6 = 0.60 = 0.600 0.68 = 0.680
0.6
tenths
0.60 0.68
hundredths
0.600 0.680
thousandths
0.7 = 0.70 = 0.700

55. Equal Decimals
0.6 = 0.60 = 0.600 0.68 = 0.680
0.6 0.7
tenths
0.60 0.68 0.70
hundredths
0.600 0.680 0.700
thousandths
0.7 = 0.70 = 0.700

57. 0.7

58. 0.7 =

59. 0.7 = 0.70000000000000000000000000000000000000000000000