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If you read in the Saturday sports section of the paper that the attendance at a football match was exactly 43,786 and a friend asked you about the attendance at school on Monday, you would probably say about 44,000. In this case you are giving an approximate answer to 2 S.f. Significant Figures It is often necessary/convenient/sensible to give approximations to real life situations or as answers to certain calculations.

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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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2. 0 7 5 1 5 or bigger ? 2.075 0. 0 1 0 2 3 8 3 5 or bigger ? 0.01024 No Yes First non-zero digit. Significant Figures (Rounding) Rounding to 4 s.f

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Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number. Rounding whole numbers to 1 s.f 1 4 7 2 5 or bigger ? 1 000 No 2 2 7 2 8 5 or bigger ? 20 000 No 4 8 8 1 3 5 5 or bigger ? 500 000 Yes

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Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 1 s.f 2 4 1 5 or bigger ? 200 No 5 8 7 5 or bigger ? 600 Yes 7 5 5 or bigger ? 80 Yes

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Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 2 s.f 1 4 7 2 5 or bigger ? 1 500 Yes 4 2 7 2 8 5 or bigger ? 43 000 Yes 2 0 4 4 7 8 5 or bigger ? 200 000 No

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Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 2 s.f 2 4 3 5 or bigger ? 240 No 2 8 7 5 or bigger ? 290 Yes 7 5 6 5 or bigger ? 760 Yes

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Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 3 s.f 5 4 7 2 5 or bigger ? 5 470 No 8 3 7 9 8 5 or bigger ? 83 800 Yes 9 7 4 9 7 8 5 or bigger ? 975 000 Yes

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Significant Figures (Rounding) When we approximate whole numbers we may need to insert zeros as required in order to maintain the size of the number Rounding whole numbers to 4 s.f 3 4 7 2 1 5 or bigger ? 34 720 No 1 3 7 9 8 5 or bigger ? 13 800 Yes 6 2 4 7 7 8 5 or bigger ? 624 800 Yes

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The following number could be the population of a country at a particular instant in time.Write this number to 1, 2, 3, 4, 5, 6 and 7 significant figures. 56 345 678 60 000 000 56 000 00056 300 000 56 350 00056 346 000 56 345 700 56 345 680

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Whole Numbers (Miscellaneous) Multiples Factors Squares and cubes BODMAS Rounding whole numbers Significant figure Approximation Negative numbers.

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