1. Decimals Year 5 (age 9-10) - Thousandths

3. One part out of 10 1 10
0.1

4. One part out of 100 1
100
We get a hundredth when we divide a whole by 100, or a tenth by 10.
0.01

5. One part out of 1000 1
1000
We get a thousandth when we divide a whole by 1000, or a hundredth by 10.
0.001

6. One part out of 1000 1
1000
We get a thousandth when we divide a whole by 1000, or a hundredth by 10.
0.001

7. . . 7 0.007 = 10s 1s s s s Tens Units Tenths Hundredths Thousandths 1
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 7 7
1000
0.007 =

8. . . 2 8 0.028 = + 10s 1s s s s Tens Units Tenths Hundredths
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 2 8 2
100 8
1000
0.028 = +

9. . . 1 6 3 1.063 = 1 + + 10s 1s s s s Tens Units Tenths Hundredths
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 1 6 3 6
100 3
1000
1.063 = 1 + +

10. . . 4 2 1 0.421 = + + 10s 1s s s s Tens Units Tenths Hundredths
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 4 2 1 4 10 2
100 1
1000
0.421 = + +

11. . . 9 9 9 0.999 = + + 10s 1s s s s Tens Units Tenths Hundredths
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 9 9 9 9 10 9
100 9
1000
0.999 = + +

13. . . 2 9 Write 2.9 as a mixed number. 2 9 10 10s 1s s s s Tens Units
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 2 9

14. . . 6 7 Write 6.07 as a mixed number. 6 7 100 10s 1s s s s Tens Units
1000
Tens
Units
Tenths
Hundredths
Thousandths . 6 7

15. . . 5 4 Write 5.004 as a mixed number. 5 4 1000 10s 1s s s s Tens
Units
Tenths
Hundredths
Thousandths . 5 4

16. . . 5 4 5 Write 5.45 as a mixed number. 5 = + 45 100 10s 1s s s s Tens
1000
Tens
Units
Tenths
Hundredths
Thousandths . 5 4 5 40
100 4 10 5
100 45
100 + =

17. . . 4 6 7 Write 4.607 as a mixed number. 4 + + = 607 1000 10s 1s s s s
Tens
Units
Tenths
Hundredths
Thousandths . 4 6 7
600
1000 6 10
1000
100 7
1000
607
1000 + + =

18. . . 6 4 4 Write 6.044 as a mixed number. 6 + + = 44 1000 10s 1s s s s
Tens
Units
Tenths
Hundredths
Thousandths . 6 4 4
1000 10 40
1000 4
100 4
1000 44
1000 + + =

20. 72
100
Write 1 as a decimal. 72
100 70
100 7 10 2
100 = + . 1 1 1
10s 1s s s s 10
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 1 7 2

21. 483
1000
Write as a decimal.
483
1000
400
1000 4 10 80
1000 8
100 3
1000 = + + . 1 1 1
10s 1s s s s 10
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 8 4 8 3

22. . . 1 9 Write 1 as a decimal. = + 9 100 9 100 100 10 9 100 10s 1s s s
100 10 9
100 = + . 1 1 1
10s 1s s s s 10
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 1 9

23. 25
1000
Write as a decimal. 25
1000
1000 10 20
1000 2
100 5
1000 = + + . 1 1 1
10s 1s s s s 10
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 7 2 5

24. 1
1000
Write as a decimal. 1
1000
1000 10
1000
100 1
1000 = + + . 1 1 1
10s 1s s s s 10
100
1000
Tens
Units
Tenths
Hundredths
Thousandths . 3 1

26. Really, there is a decimal point at the end of every whole number and there are zeros in every place value column before and after a number. . 1 1 1
100,000s
10,000s
1,000s
100s
10s 1s s s s 10
100
1000 3 .
is the same as 3, because all the zeros tell you is that you don’t have any hundred thousands, ten thousands, thousands, hundreds, tens, tenths, hundredths or thousandths. But just writing the number 3 also tells you this.

27. 3 . 4 . You can ignore zeros at the end of a decimal number.1 1 1
100,000s
10,000s
1,000s
100s
10s 1s s s s 10
100
1000 3 . 4
3.40 = 3 wholes + 4 tenths + 0 hundredths
3.4 = 3 wholes + 4 tenths
3.40 and 3.4 are the same, because all the 0 tells you is that you don’t have any hundredths, so although writing 3.40 isn’t wrong, we usually just write 3.4.

28. You can’t ignore zeros in the middle of a number because they are place holders.1 1 1
100,000s
10,000s
1,000s
100s
10s 1s s s s 10
100
1000 3 . 4
3.04 = 3 wholes + 0 tenths + 4 hundredths
3.4 = 3 wholes + 4 tenths
We need the 0 to show that the 4 represents hundredths, not tenths, just as in the number 304, we need the 0 in the tens to show that the 3 represents hundreds.

29. . 3 4 . The units column can’t be empty.1 1 1
100,000s
10,000s
1,000s
100s
10s 1s s s s 10
100
1000 . 3 4
You need to write 0. before 34 to make it clear that you have 3 tenths and 4 hundredths, not 3 tens and 4 units.
Make sure your decimal point looks like a full stop, not like a comma.

31. 0.659
0.66
0.661
0.662
0.663
0.664
0.665
0.666
0.667
0.668
Complete +10 number sequences

32. 3.455
3.456
3.457
3.458
3.459
3.46
3.461
3.462
3.463
3.464
Complete +10 number sequences

33. 5.998
5.999 6
6.001
6.002
6.003
6.004
6.005
6.006
6.007
Complete +10 number sequences

35. 1.212
1.211
1.21
1.209
1.208
1.207
1.206
1.205
1.204
1.203
Complete +10 number sequences

36. 2.901
2.9
2.899
2.898
2.897
2.896
2.895
2.894
2.893
2.892
Complete +10 number sequences

37. 3.005
3.004
3.003
3.002
3.001 3
2.999
2.998
2.997
2.996
Complete +10 number sequences

39. Write the decimal number which the arrow is pointing to.
0.423
0.431
0.435
0.438
0.43
0.44
0.42
0.420
0.430
0.440
0.423
0.431
0.435
0.438

40. Write the decimal number which the arrow is pointing to.
0.994
1.001
1.004
1.009 1
1.01
0.99
0.990
1.000
1.010
0.994
1.001
1.004
1.009

41. Write the decimal number which the arrow is pointing to.
2.103
2.109
2.113
2.119
2.11
2.12
2.1
2.100
2.110
2.120
2.103
2.109
2.113
2.119

43. . 7 . 7 6 6 7 . 7 6 3 Which number is larger? Tens Units Tenths
Hundredths
Thousandths 7 . 7 6 6 7 . 7 6 3

44. . 1 . 6 2 6 1 . 6 6 2 Which number is larger? Tens Units Tenths
Hundredths
Thousandths 1 . 6 2 6 1 . 6 6 2

45. . 5 . 5 1 5 . 5 9 9 Which number is larger? Tens Units Tenths
Hundredths
Thousandths 5 . 5 1 5 . 5 9 9

46. . . 1 4 4 . 4 1 1 Which number is larger? Tens Units Tenths Hundredths
Thousandths . 1 4 4 . 4 1 1

47. . 3 . 3 5 3 . 5 5 Which number is larger? Tens Units Tenths Hundredths
Thousandths 3 . 3 5 3 . 5 5

48. . 3 . 1 1 1 2 . 9 9 9 Which number is larger? Tens Units Tenths
Hundredths
Thousandths 3 . 1 1 1 2 . 9 9 9

50. Put these numbers into ascending order.
1.22
1.32
1.21
1.12
2.12
1.12
1.21
1.22
1.32
2.12

51. Put these numbers into ascending order.
0.773
0.337
0.373
0.737
0.733
0.337
0.373
0.733
0.737
0.773

53. ____ = 1
0.74
____ = 0.3
0.04
0.3 + ___ = 1
0.7
= 0.74

54. ____ = 1
0.21
____ = 0.8
0.01
0.8 + ___ = 1
0.2
= 0.21

55. 0.124 + _____ = 1 0.876 0.124 + _____ = 0.13 0.006 0.13 + ____ = 0.2
0.07
0.2 + ___ = 1
0.8
= 0.876

56. _____ = 1
0.508
_____ = 0.5
0.008
0.5 + ___ = 1
0.5
= 0.508

58. T U t h th 1 1 1 + 3 4 . 6 6 1

60. 6 1 5 4 1 1 - 4 9 . 9 1 5

61. 1 - 1 7 . 4 9