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3.0 DECIMALS 3. 1 Convert decimal to a fraction of tenths

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Cemerlang Mathematics UPSR









3.0 DECIMALS

3. 1 Convert decimal to a fraction of tenths, hundredths and thousandths.



No Fraction of tenths,hundredths,

Decimal

thousandths

1 0.2



2 0.04



3 1.6



4 3.081



5 8.14



6 0.008



7 2.09



8 4.432



9 3.25



10 3.006



11 5.701



12 8.001



13 1.02



14 0.05



15 3.917



16 0.132



17 3.03



18 4.019



19 8.808



20 0.003









61

Cemerlang Mathematics UPSR









3.1. Convert fraction of tenths, hundredths, thousandths to a decimal



No

Value Decimal



1

1 100



1

2 1000



3

3

10

3

4 100



3

5

100

7

6 4

10

7

7 7

100

7

8 9

1000

11

2

9 10





11

10 6

100



11

11 7

1000



1

12 2

10



1

13 2

100









62

Cemerlang Mathematics UPSR









3.1.1 Convert decimal to decimals of tenths, hundredths and thousandths.







No. Question 1 decimal place 2 decimal places 3 decimal places



Exp

1.23465 1.2 1.23 1.235



1 0.09876



2 12.2345



3 11.9876



4 9.075630



5 12.09542



6 0.087642



7 0.12647



8 0.16482



9 11.20856



10 21.0897



11

32.0987



45.6547

12



65.8769

13



12.5432

14



56.9076

15









63

Cemerlang Mathematics UPSR









3.2 Add whole number or decimal with decimal up to 3 decimal places.



1 23.945 + 6.37 = 2. 76.545 + 23.8 =









3 6.054 + 27 = 4. 76.4 + 8 =









5. 5.68 + 12.386 = 6. 76.123 + 8.2 =









7. 27.006 + 20 = 8. 6 + 1.23 =









64

Cemerlang Mathematics UPSR









9. 23 + 6.374 = 10. 76.76 + 23.824 =









11 21.293 + 3.15 = 12. 76 .46 + 8.2 =









13. 15.5 + 12.386 = 14. 23.98 + 8.209 =









15 9.3 + 71.893 = 16 25 + 7 .345 =









65

Cemerlang Mathematics UPSR









3.3 Subtract decimal from decimal or whole number.



1 3.945 – 0.37 = 2. 76.545 – 23.8 =









3 65.01 – 27.07 = 4. 23.41 – 8.546 =









5. 45.68 – 12.386 = 6. 76.01 – 8.2 =









7. 27.006 – 18.51 = 8. 60.016 – 10.23 =









66

Cemerlang Mathematics UPSR









9. 23 – 6.374 = 10. 76 – 23.824 =









11 21.2 – 3.158 = 12. 45 – 8.274 =









13. 15.5 – 12.386 = 14. 23.9 – 8.209 =









15 95 – 71.893 = 16 251 – 7 .345 =









67

Cemerlang Mathematics UPSR









3.4 Multiply decimal less than 10 with 1 digit



1. 3.405 × 3 = 2. 6.54 × 5 =









3 1.054 × 4 = 4. 6.503 × 7 =









5. 5.68 × 9 = 6. 6.023 × 6 =









7. 5.09 x 7 8. 6.543 x 5









68

Cemerlang Mathematics UPSR









9. 1.709 × 3 = 10. 7.935 × 7 =









11. 1.054 × 4 = 12. 6.503 × 7 =









13. 8.876 × 4 = 14. 6 x 5.023 =









15. 8 x 0.864 16. 7 x 5.543









69

Cemerlang Mathematics UPSR









3.4 Divide decimal less than 10 .



1. 3.015 ÷ 5 = 2. 6.51 ÷ 3 =









3 1.05 ÷ 5 = 4. 6.307 ÷ 7 =









5. 9.36 ÷ 8 = 6. 6.048 ÷ 9 =









7. 3.245 ÷ 5 8. 1.014 ÷ 6









70

Cemerlang Mathematics UPSR









9. 2.709 ÷ 3 = 10. 4.932 ÷ 9 =









11. 7.05 ÷ 5 = 12. 6.013 ÷ 7 =









13. 2.504 ÷ 8 = 14. 4.536 ÷ 6 =









15. 9.304 ÷ 4 16. 7 .218 ÷ 9









71

Cemerlang Mathematics UPSR









Mixed Operation : Involving +, - and bracket.



Example 23.45 — 17.634 + 45 = 1. 76 — 34.76 + 23.876 =



Solve from the left

23 . 450

- 17 . 634

5 . 816

+ 45 . 000

50 . 816



2. ( 76.5 + 123.987 ) — 189.72 = 3. 36.67 — ( 17.89 + 18 ) =









4. ( 55 — 34.987 ) + 12.88 = 5. 44.9 + 57 — 99.023 =









6. 67 + 34.78 — 24.009 = 7. 74.9 — 33.276 + 41.624 =









72

Cemerlang Mathematics UPSR









Add and subtract involving fractions of tenths, hundredths and thousandths



No. Question Convert fraction to decimal Answer



1.9

9 71 9 71 + 2.71

Exp 1 + 2 1 = 1.9 , 2 = 2.71

10 100 10 100 4.61



7 31

2 + 2

1 10 100



713 71

3 + 2

2 1000 100



97

2 + 3 .3

3 100



3

4.003 + 3

4 10



7

2 + 0.077

5 1000



17

5.1 — 4

6 100





5

7 6 — 2.045

10



8

8 7.9 — 1

100



8

9 6 — 0.078

1000



152

10 5.01 — 1

1000









73

Cemerlang Mathematics UPSR









Basic operation of decimals : State the answer in extended notation.



Example 23.945 + 6.37 = 1. 76.545 — 23.8 =



23.945

+ 6.370

30.315



Extended Notation = 30 + 0.3 + 0.01 + 0.005







2 6.054 × 27 = 3. 76.4 ÷ 8 =









4. 5.68 + 12.386 = 5. 76.123 — 8.2 =









6. 27.006 × 20 = 7. 1.23 ÷ 6 =









74

Cemerlang Mathematics UPSR









Basic operation of decimals : State the answer to 1 decimal place.



Example 23 ― 6.374 = 1. 76.76 + 23.824 =



23.000

― 6.374

16.626



1 decimal place = 16.6







2 21.293 × 5 = 3. 76 .46 ÷ 8 =









4. 15.5 ― 12.386 = 5. 23.98 + 8.209 =









6 71.893 × 9 = 7 20.755 ÷ 7 =









75

Cemerlang Mathematics UPSR









Multiply decimal with whole number up to 2 decimal places.

State the answer to the nearest tens.



1. 23.405 × 37 = 2. 6.54 × 18 =







23 . 407

× 37

163 849

702 210

866 .059



Round off to the nearest tens = 870









3 1.054 × 39 = 4. 6.503 × 47 =









5. 5.68 × 12 = 6. 6.023 × 31 =









76

Cemerlang Mathematics UPSR









Mixed Operation : Involving +, - and bracket.



Example 23.45 — 17.634 + 45 = 1. 76 — 34.76 + 23.876 =



Solve from the left

23 . 450

- 17 . 634

5 . 816

+ 45 . 000

50 . 816



2. ( 76.5 + 123.987 ) — 189.72 = 3. 36.67 — ( 17.89 + 18 ) =









4. ( 55 — 34.987 ) + 12.88 = 5. 44.9 + 57 — 99.023 =









6. 67 + 34.78 — 24.009 = 7. 74.9 — 33.276 + 41.624 =









77



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