Number_-_Rounding_Basic_DPs_&_SFs

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Rounding – to the nearest 10 Yes 4 8 3 2 No 5 or more? 4 8 3 0 4 8 3 7 5 or more? 4 8 4 0 Yes 1 9 5 5 or more? 2 0 0 E

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Rounding – to the nearest 100 Yes 1 5 8 2 3 1 No 1 5 8 2 0 0 5 8 7 2 5 or more? 5 9 0 0 Yes 8 9 5 or more? 1 0 0 Your Turn Copy & complete this table: 5 or more? Number To nearest 10 To nearest 100 To nearest 1000 37 521 274 503 7 630 918 9 875 452 38000 37500 37520 275000 274500 274500 7631000 7630900 7630920 10000 9900 9880 0 500 450 E

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Rounding to 1 Decimal Place (1DP) No 4 . 8 3 2 5 No 5 or more? 4 . 8 4 . 8 4 2 5 5 or more? 4 . 8 Yes 4 . 8 5 2 5 or more? 4 . 9 Yes 4 . 8 7 Yes 5 or more? 4 . 9 5 . 2 6 7 1 4 5 or more? 5 . 3 Yes 1 . 9 6 7 5 or more? 2 . 0 D

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Rounding to Decimal Places: 2DP Yes 4 . 8 3 2 5 No 5 or more? 4 . 8 3 4 . 8 4 6 5 or more? 4 . 8 5 Yes 4 . 8 5 9 5 1 5 or more? 4 . 8 6 Yes 1 . 6 9 4 9 No 5 or more? 1 . 6 9 5 . 2 6 7 1 5 or more? 5 . 2 7 Yes 1 . 8 9 7 5 or more? 1 . 9 0 D

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Rounding to Decimal Places: 3DP No 4 . 8 3 2 5 Yes 5 or more? 4 . 8 3 3 4 . 8 4 6 2 5 or more? 4 . 8 4 6 Yes 4 . 8 5 9 5 5 or more? 4 . 8 6 0 Yes 1 . 6 9 4 2 No 5 or more? 1 . 6 9 4 5 . 2 6 2 7 5 or more? 5 . 2 6 3 Yes 1 . 9 9 9 9 5 or more? 2 . 0 0 0 D

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Rounding to Decimal Places Yes 5 . 2 6 2 7 5 or more? 5 . 2 6 3 1 . 6 9 4 9 No 5 or more? 1 . 6 9 Yes 4 . 8 5 2 5 or more? 4 . 9 Your Turn Copy & complete this table: Number To 1DP To 2DP To 3DP 63.4721 87.6564 149.9875 3.54029 0.59999 63.5 63.47 63.472 87.7 87.66 87.656 150.0 149.99 149.988 3.5 3.54 3.540 0.6 0.60 0.600 3DP 2DP 1DP D

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Significant Figures: Important Zeros in Numbers 5 2 0 0 0 5 . 2 0 0 0 . 0 5 0 0 2 . 5 0 a. b. c. d. Which zeros matter? Are there any we could get rid of and still have the same value? When dealing with Significant Figures , you need to keep any zeros that tell us the value of a number C

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Rounding to 1 Significant Figure (1SF) No 0 . 0 7 6 5 Yes 5 or more? 0 . 0 8 0 . 0 0 1 2 5 or more? 0 . 0 0 1 No 1 . 0 0 9 5 5 or more? 1 Yes 2 4 1 No 5 or more? 2 0 0 5 8 7 5 or more? 6 0 0 Yes 7 5 5 or more? 8 0 C

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Rounding to 2 Significant Figure (2SF) No 1 4 7 2 Yes 5 or more? 1 5 0 0 1 . 4 2 7 9 5 or more? 1 . 4 Yes 0 . 0 5 3 5 5 or more? 0 . 0 5 4 No 4 2 7 2 8 Yes 5 or more? 4 3 0 0 0 2 0 4 4 7 8 5 or more? 2 0 0 0 0 0 Yes 0 . 0 6 9 6 5 or more? 0 . 0 7 0 C

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Rounding to 3 Significant Figure (3SF) No 0 . 0 2 6 7 1 No 5 or more? 0 . 0 2 6 7 3 . 2 9 4 9 5 or more? 3 . 2 9 No 3 4 7 2 8 5 or more? 3 4 7 0 0 Yes 1 3 7 9 8 Yes 5 or more? 1 3 8 0 0 9 7 4 9 7 8 5 or more? 9 7 5 0 0 0 Yes 1 2 . 0 6 9 5 or more? 1 2 . 1 C

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Rounding to Significant Figures Your Turn Copy & complete this table: Number To 1SF To 2SF To 3SF 6.3528 34.026 0.005708 150.932 0.00007835 3SF 2SF 1SF 0 . 0 7 6 5 Yes 5 or more? 0 . 0 8 4 2 7 2 8 Yes 5 or more? 4 3 0 0 0 Yes 1 2 . 0 6 9 5 or more? 1 2 . 1 6.35 6.4 6 34.0 34 30 0.00571 0.0057 0.006 151 150 200 0.0000784 0.000078 0.00008 C

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