CHAPTER 3 DECIMALS. EXERCISE 8 Page Convert 0.65 to a proper fraction may be written as: 100. i.e = =

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1 CHAPTER 3 DECIMALS EXERCISE 8 Page Convert 0.65 to a proper fraction may be written as: i.e Dividing both numerator and denominator by 5 gives: Hence, the decimal fraction as a proper fraction 2. Convert to a proper fraction may be written as: i.e Dividing both numerator and denominator by 5 gives: Hence, the decimal fraction as a proper fraction 3. Convert to a proper fraction may be written as: i.e Dividing both numerator and denominator by 5 gives: Dividing both numerator and denominator again by 5 gives: Hence, the decimal fraction as a proper fraction 4. Convert to a proper fraction. 33

2 0.048 may be written as: i.e Dividing both numerator and denominator by 4 gives: Dividing both numerator and denominator by 2 gives: Hence, the decimal fraction as a proper fraction. 5. Convert the following to proper fractions: (a) 0.66 (b) 0.84 (c) (d) (e) (a) (b) (c) (d) (e) Convert into a mixed number may be written as: i.e Dividing both numerator and denominator by 25 gives: Hence, the mixed number as a proper fraction 7. Convert into a mixed number. 34

3 0.44 may be written as: i.e Dividing both numerator and denominator by 4 gives: Hence, the mixed number as a proper fraction 8. Convert into a mixed number may be written as: i.e Dividing both numerator and denominator by 5 gives: Hence, the mixed number as a proper fraction 9. Convert to a mixed number may be written as: i.e Dividing both numerator and denominator by 25 gives: Dividing both numerator and denominator again by 25 gives: Hence, the mixed number as a proper fraction 10. Convert the following to mixed numbers: (a) 1.82 (b) (c) (d) (e) (a)

4 (b) (c) (d) (e) Express 5 8 as a decimal fraction Hence, the proper fraction as a decimal fraction 12. Express as a decimal fraction. Hence, the mixed number as a decimal fraction 13. Express 7 32 as a decimal fraction Hence, the proper fraction as a decimal fraction 14. Express as a decimal fraction. 36

5 Hence, the mixed number as a decimal fraction. 15. Express 9 as a decimal fraction Hence, the proper fraction as a decimal fraction 32 37

6 EXERCISE 9 Page Express correct to 2 decimal places , correct to 2 decimal places 2. Express correct to 4 significant figures , correct to 4 significant figures 3. Express correct to 2 decimal places , correct to 2 decimal places 4. Express correct to 4 significant figures , correct to 4 significant figures 5. Express correct to 3 decimal places , correct to 3 decimal places 6. Express correct to 3 significant figures , correct to 3 significant figures 38

7 EXERCISE 10 Page Evaluate , correct to 3 significant figures Hence, , correct to 3 significant figures 2. Evaluate , correct to 1 decimal place Hence, , correct to 1 decimal place 3. Evaluate , correct to 4 significant figures Hence, , correct to 4 significant figures 4. Evaluate , correct to 2 decimal places ( ) Hence, , correct to 4 significant figures 39

8 5. Evaluate , correct to 4 significant figures Hence, , correct to 4 significant figures. 6. Evaluate , correct to 1 decimal place Hence, , correct to 1 decimal place 7. Determine the dimension marked x in the length of shaft shown. The dimensions are in millimetres. Dimension, x mm

9 EXERCISE 11 Page Evaluate Hence, As there are digits to the right of the decimal points of the two numbers being multiplied together, , then Evaluate Hence, As there are digits to the right of the decimal points of the two numbers being multiplied together, , then Evaluate Hence, As there are digits to the right of the decimal points of the two numbers being multiplied together, , then

10 4. Evaluate Hence, As there are digits to the right of the decimal points of the two numbers being multiplied together, , then Evaluate The denominator is multiplied by 10 to change it into an integer. The numerator is also multiplied by 10 to keep the fraction the same Thus, Hence, Evaluate , correct to 5 significant figures Hence, , correct to 5 significant figures 42

11 7. Evaluate , correct to 4 significant figures Hence, , correct to 4 significant figures 8. Evaluate Hence, Express as decimal fraction 4, correct to 3 significant figures Hence, the fraction as a decimal fraction, correct to 3 significant figures 10. Express as a decimal fraction 17, correct to 5 decimal places

12 26 Thus, , correct to 5 decimal places 11. Express as a decimal fraction 1 9, correct to 4 significant figures Thus, , correct to 4 significant figures 12. Express as a decimal fraction 53 5, correct to 3 decimal places Thus, , correct to 3 decimal places 13. Express as a decimal fraction 13 31, correct to 2 decimal places Thus, , correct to 2 decimal places 14. Express as a decimal fraction 8 9, correct to 3 significant figures Thus, , correct to 3 significant figures 44

13 15. Evaluate , (a) correct to 4 significant figures and (b) correct to 3 decimal places (a) , correct to 4 significant figures (b) , correct to 3 decimal places 16. Evaluate , (a) correct to 5 decimal places and (b) correct to 2 significant figures (a) , correct to 5 decimal places (b) , correct to 2 significant figures 17. Evaluate (a) (b) (a) Hence, (b)

14 Hence, and A tank contains 1800 litres of oil. How many tins containing 0.75 litres can be filled from this tank? Number of tins by cancelling Alternatively, tins

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