Rounding – to the nearest 10

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Presentation transcript:

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

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

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

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

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

Rounding to Decimal Places 1DP 2DP 3DP 4 . 8 5 2 1 . 6 9 4 9 5 . 2 6 2 7 5 or more? 5 or more? 5 or more? Yes No Yes 4 . 9 1 . 6 9 5 . 2 6 3 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 Your Turn 150.0 149.99 149.988 D 3.5 3.54 3.540 0.6 0.60 0.600

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

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

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

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

Rounding to Significant Figures 1SF 2SF 3SF 0 . 0 7 6 5 4 2 7 2 8 1 2 . 0 6 9 5 or more? 5 or more? 5 or more? Yes Yes Yes 0 . 0 8 4 3 0 0 0 1 2 . 1 Copy & complete this table: Number To 1SF To 2SF To 3SF 6.3528 34.026 0.005708 150.932 0.00007835 6.0 6.4 6.35 30.0 34 34 Your Turn 0.006 0.0057 0.00571 C 200 150 151 0.00008 0.000078 0.0000784