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0.30.4 30.35 A)B) C)D) Round to 1 dp 0.34
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13.4 13.014.0 13.38 A)B) C)D) Round to 1 dp 13.374
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1.0 0.990.9 0.10 A)B) C)D) Round to 1 dp 0.98
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26.5 25.026.6 26.0 A)B) C)D) Round to 1 dp 26.519
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23.1823.20 23.1723.10 A)B) C)D) Round to 2 dp 23.1782
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0.0040.00417 0.0050.00418 A)B) C)D) Round to 3 dp 0.00417
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5.00 4.99 4.98 4.90 A)B) C)D) Round to 2 dp 4.999
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Rounding to Significant Figures Explain the difference between rounding to decimal places and significant figures Round whole numbers and decimals to stated number of significant figures Justify decisions to round to a given number of significant figures
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“The average wage in the UK rises to £26,643.14 per year”
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Average wages reach £27,000 “The average wage in the UK rises to £26,643.14 per year”
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Average wages reach £30,000 “The average wage in the UK rises to £26,643.14 per year”
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Average wages reach £26,600 “The average wage in the UK rises to £26,643.14 per year”
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Are the newspapers telling the truth?
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4. 3 3 2 5 Significant Figures (Rounding) Numbers can be rounded to 1,2, 3 or more significant figures. We count the number of figures from the first non-zero digit. Rounding to 1 s.f 5 or bigger ? 4 5. 7 4 2 5 5 or bigger ? 6 0. 0 4 2 5 5 or bigger ? 0.04 NoYes No First non-zero digit.
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Rounding to 1 s.f 0. 0 7 6 5 or bigger ? 0.08 0. 0 0 1 5 5 or bigger ? 0.002 Yes First non-zero digit. Significant Figures (Rounding)
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1. 4 7 2 9 5 or bigger ? 1.5 0. 0 5 3 5 5 or bigger ? 0.054 Yes First non-zero digit. Significant Figures (Rounding) Rounding to 2 s.f
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6. 0 7 2 9 5 or bigger ? 6.1 0. 0 0 0 5 6 3 5 or bigger ? 0.00056 Yes No First non-zero digit. Significant Figures (Rounding) Rounding to 2 s.f
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2. 0 7 5 9 5 or bigger ? 2.08 0. 0 2 0 4 6 3 5 or bigger ? 0.0205 Yes First non-zero digit. Significant Figures (Rounding) Rounding to 3 s.f
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NumberTo 3 s.f.To 2 s.f.To 1 s.f. 4213 6435 23.65 43.89 0.0465 0.009231 0.9649 0.4054 0.07008 0.4109 0.005007
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Starbucks announces a yearly profit of £253, 546, 982.34 Prime Minister announces yearly wage of £142, 453, 056.49 8, 712 people die in Sichuan Earthquake There are 2, 469, 621 Muslims in the UK today The average house price in the UK is £163,493.78 “The UK government spent £56, 312, 576, 483. 56 on education in the 2012 – 2013 financial year”
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Population of England reaches 56, 831, 163 Economists forecast rise in price of milk by 0.506% next month Asda to drop the price of Bananas by 6.082% Total of 2,299,355 students at university in October 2013/14.
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0.2 0.3 3 2 A)B) C)D) Round- 0.23 to 1 s.f
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0.05 0.040.1 0.0 A)B) C)D) Round- 0.045 to 1 s.f
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600620 700630 A)B) C)D) Round- 623 to 1 s.f
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50005300 60005330 A)B) C)D) Round- 5328 to 1 s.f
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0.0051 0.010.0050 0.00514 A)B) C)D) Round- 0.005136 to 2 s.f
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430426.21 420400.00 A)B) C)D) Round- 426.213 to 2 s.f
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3000300 3002.03010 A)B) C)D) Round- 3002.01 to 3 s.f
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1000 100900 980 A)B) C)D) Round- 983.4 to 1 s.f
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0.0046 0.0045 0.00 0.004 A)B) C)D) Round- 0.00456 to 2 s.f
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363004000 4530036000 A)B) C)D) Round- 36345.3 to 3 s.f
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