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Write each (i) to the nearest ten

to the nearest. Write each (i) to the nearest ten. (ii) to the nearest hundred. 1. 8357. = 8360. (to nearest ten). = 8400. (to nearest hundred). 2. 80 548. = 80 550. = 80 500. 3. 245 632. = 245 630. = 245 600. 4. 34. = 30. = 0. 5. 764 799. = 764 800. = 764 800. 6. 26.83.

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Write each (i) to the nearest ten

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  1. to the nearest ......... Write each (i) to the nearest ten (ii) to the nearest hundred 1. 8357 = 8360 (to nearest ten) = 8400 (to nearest hundred) 2. 80 548 = 80 550 = 80 500 3. 245 632 = 245 630 = 245 600 4. 34 = 30 = 0 5. 764 799 = 764 800 = 764 800 6. 26.83 = 30 = 0 7. 425.28 = 430 = 400 8. 816.4 = 820 = 800 9. 95.8 = 100 = 100 10. 2 555.5 = 2 560 = 2 600

  2. to the nearest ......... Write each (i) to the nearest tenth (ii) to the nearest whole 1. 42.57 = 42.6 (to nearest tenth) = 43 (to nearest whole) 2. 157.93 = 157.9 = 158 3. 4.6835 = 4.7 = 5 4. 27.06 = 27.1 = 27 5. 2 473.888 = 2 473.9 = 2 474 6. 26.83 = 26.8 = 27 7. 425.28 = 425.3 = 425 8. 816.49 = 816.5 = 816 9. 95.807 = 95.8 = 96 10. 2 555.555 = 2 555.6 = 2 556

  3. 2 significant figures Significant Figures 56 000 000 45 0.0062 to nearest million 3 significant figures to nearest whole to 4 dec pl 378 000 27.3 0.005 32 4 significant figures to nearest 1000 to nearest tenth to nearest hundred thousandth to 1 dec pl 7002 to 5 dec pl 5.308 56.0 3050 0.004 07 to 3 dec pl to nearest tenth to nearest ten to 5 dec pl

  4. Round each of the following to 2 sig fig 8 776 341 31.793 258.6 91 832 428 0.085 726 129.3 2040 1.036 35.67 Round each of the following to 3 significant figures 34 629 73 579 1347 45.666 2.8369 34 600 73 600 1350 45.7 2.84 173.92 0.004683 9044 0.04968 12.345 174 0.00468 9040 0.0497 12.3 0.000 083 76 47.73 31.655 919.9 2547 0.000 083 8 47.7 31.7 920 2550 8 800 000 32 260 92 000 430 0.086 130 2000 1.0 36

  5. 03 5.3 Use the calculator for standard form EE Exp or on scientific calculator in place of x 10n on display means 5.3 x 103 5.3 x 103 x2.7 x 104 5.3Exp3 x 2.7Exp4 1.431 x 108 = without calculator / estimate 2.83 x 102x 9.167 x 103 5 x 103 x3 x 104 estimate 3 x 9 x 102x 103 = 5 x 3 x 103x 104 27 x 105 = 2.7 x 106 = 15 x 107 = 2.594261 x 106 = 1.5 x 10x 107 = 2.59 x 106 to 3 sig fig = 1.5 x 108

  6. …% of ……… Percentages 50% of £658 1/2 50% = 0.50 = ÷ 2 = 658 ÷ 2 = 329 1/4 25% = 0.25 = ÷ 4 1/5 20% = 0.20 = ÷ 5 1% of 7382 kg 1/10 10% = 0.10 = ÷ 10 = 7382 ÷ 100 = 73.82 1/100 1% = 0.01 = ÷ 100 1/3 331/3% = ÷ 3 13% of £67 = 0.13 x 67 13% = 0.13 = 8.71

  7. Express as a percentage of ... 35 marks out of total 56 35 ÷ 56 x 100 35 56 x 100 So Pupil’s mark was 62.5% = 62.5% Item costs £45 and sells for £54. Express the profit as a percentage of the cost price. S P = 54 C P = 45 Profit = 9 9 ÷ 45 x 100 9 45 x 100 = 20 % So Profit was 20% of the cost price.

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