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Rounding- Decimal Places and Significant Figures
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Rounding to 1 d.p 4. 8 3 2 5 5 or bigger ? 4.8 4. 8 4 2 5 5 or bigger ? 4.8 4. 8 5 2 5 5 or bigger ? 4.9 7. 0 6 2 5 5 or bigger ? 7.1 3. 4 7 2 5 5 or bigger ? 3.5 1. 2 9 2 5 5 or bigger ? 1.3 No Yes
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Rounding to 2 d.p 5. 8 4 2 5 5 or bigger ? 5.84 1. 4 2 6 1 5 or bigger ? 1.43 0. 6 0 8 3 5 or bigger ? 0.61 0. 2 9 4 3 5 or bigger ? 0.29 0. 5 5 5 0 5 or bigger ? 0.56 0. 3 9 7 0 5 or bigger ? 0.40 No Yes No Yes
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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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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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