Dŵr y Felin Comprehensive School Key Stage 3 Numeracy in Registration - Homework Name …………………………………….. FOUR RULES OF NUMBER Remember – It is often easier to work out the answer to a question if you set out the sum in the correct way. Examples 1. 3451 + 817 3451 + 817 4268 2. 3 1 438 – 392 4 38 392 046 - 1 3. 34 x 7 x 34 7 23 8 4. 276 x 26 x 2 276 26 1 64536 51512 0 7176 1 5. 687 ÷ 3 229 3 6 827 Exercise 892 1. 810 + 81 = = 19 x 19 10. 819 + 2800 = 11. 904 - 730 = 174 12. 44.7 x 0 = 0 13. 231 x 10 = 2310 14. 25 x 17 = 425 = 405 4778 2. 4230 + 548 = 3. 536 - 70 = 4. 36 ÷ 6 = 5. 18 x 22 = 6. 982 -156 = 7. 50 ÷ 5 = 10 15. 872 - 467 8. 24 x 8 = 192 16. 29.9 + 3 466 6 396 826 361 9. = 3619 32.9 FRACTION OF AN AMOUNT To find a fraction of an amount we divide by the denominator (bottom) and then multiply by the numerator (top) Examples 1. ½ of 30 = 30 = 15 2 3. 2 5 of 30 = 30 = 6 5 =6x2 = 12 2. 1 4. 3 7 8 of 42 = 42 = 6 7 of 48 = 48 = 6 8 =6x3 = 18 Exercise 9. 1 8 10. 3 of 70 = 7 11. 2 of 16 = 8 6 12. 1 1. ½ of 60= 2. 1 3. 4. of 64 = 8 1 10 3 30 3 of 80 = 24 13. 6. 3 of 25 = 15 7. 5 of 18 = 6 8. 1 5. 10 5 8 of 40 = of 88 = of 24 4 = 4 5 of 35 = of £160 = 8 22 18 14 £20 9 of 99 = 14. 1 of 380m = 190 15 15. 3 of $28 = $12 5 16. 11 2 7 2 3 of 96 81 = 64 ROUNDING Examples Round the following numbers to the number of decimal places in brackets. 37.178 (1 decimal place) = 37.178 = 37.2 56.353 (2 decimal places) = 56.353 = 56.35 38.9010 (3 decimal places) = 38.9010 = 38.901 If the number that is underlined is greater or equal to 5, the number that is bold rounds up one. If the number that is underlined is less than 5 then it is ‘chopped off’ Exercise 1. 4.123(1decimal place) = 4.1 2. 64.892 (1decimal place) = 64.9 3. 7.901 (2 decimal places) = 7.90 4. 4.932 (2 decimal places) = 4.93 5. 73.9912 (3 decimal places) = 73.991 6. 6.9009 (3 decimal places) = 6.901 7. 71.1928 (3 decimal places) = 71.193 8. 7.102 (1 decimal place) 7.1 9. 28.837 (2 decimal places) = 28.84 10. 18.728 (1 decimal place) 18.7 11. 12.0003 (3 decimal places) = 12.000 12. 4.99 5.0 place) (1 = = = decimal MULTIPLYING DECIMALS 0.3 has one number after the decimal point, 0.2 also has one number after the decimal point. So the answer must have 2 numbers after the decimal point. Examples. 1. 0.3 x 0.2 = 0.06 2. 0.7 x 4 = 2.8 0.7 has one number after the decimal point, 4 is a whole number so doesn’t have any numbers after the decimal point. So the answer must have 1 number after the decimal point. Exercise Work out the following multiplication sums. Be careful where you place the decimal point in each answer! 1. 0.6 x 3 = 1.8 2. 5 x 0.6 = 3. 0.4 x 0.8 = 3.0 0.32 7. 0.5 x 0.08 = 8. 0.07 x 0.7 = 9. 0.2 x 0.009 = 0.01 4. 0.1 x 0.1 = 10. 1.4 x 0.6 0.7 x 0.2 = 0.05 x 9 = 0.0018 = 1.30 11. 2.6 x 0.5 = 0.45 6. 0.049 0.84 0.14 5. 0.040 0.144 12. 2.4 x 0.06 =

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