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Significant Figures

Significant Figures. Rounding. Sig Figs. 34 264 Nearest Ten Nearest Hundred Nearest Thousand Nearest Ten thousand More Accurate. 5. 4. 34 260. 3. 34 300. 34 000. 2. 30 000. 1. Rounding. Sig Figs. 34 264 Nearest Ten Nearest Hundred Nearest Thousand

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Significant Figures

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  1. Significant Figures

  2. Rounding Sig Figs 34 264 Nearest Ten Nearest Hundred Nearest Thousand Nearest Ten thousand More Accurate 5 4 34 260 3 34 300 34 000 2 30 000 1

  3. Rounding Sig Figs 34 264 Nearest Ten Nearest Hundred Nearest Thousand Nearest Ten thousand More Accurate Zeros at the end are not significant for numbers more than 9 (with no decimal point) 5 4 34 260 34 300 3 34 000 2 30 000 1

  4. How many sig figs? 32 400 3 31 040 4 304 020 5 900 002 6 3400.0 5

  5. You try 1. 23 000 2. 102 000 3. 203 400 4. 200 600 5. 1000 000 6. 45 678 7. 2001 8. 670.0

  6. Rounding Round 478 to 2 sig figs. 478 3 sig figs 47 2 sig figs Could be 470 or…… Nearer to 480 478 → 480 to 2 sig figs 8 0 480

  7. Rounding Round 894 to 1 sig fig. 894 3 sig figs 8 1 sig fig Could be 800 or…… Nearer to 900 894 → 900 to 1 sig fig 94 00 900

  8. Round to 2 sig figs 431 430 789 790 345 350 1234 1200

  9. Significant Figures Zeros at the end are not significant for numbers more than 9 (with no decimal point) No of sig figs 804000 34.0 Rounding to 2 sig figs 1 249→ 3 478→ (3) (3) 1 200 3500

  10. Round to no of sig figs indicated 1. 231 (2) 2. 768 (2) 3. 325 (2) 4. 1341 (3) 5. 2569 (3) 6. 12392 (4) 7. 19677 (4) 8. 3 426 (2) 9. 5 679 (2) 10. 371 (1) 11. 850 (1) 12. 5 634 (1) 13. 46.8 (1) 14. 78.6 (2) 15. 123 000 (2) 16. 34.3489 (3)

  11. Small Numbers Numbers less than 1 Start 0. 0.00043 0.0457 0.03407 2 sig figs 3 sig figs 4 sig figs

  12. Small Numbers Numbers less than 1 Start 0. 0.00043 0.0457 0.03407 Zeros at the start are not significant for numbers less than 1. 2 sig figs 3 sig figs 4 sig figs

  13. How many sig figs? 0.0258 3 0.4058 4 0.023045 5 0.00050 2 1.000 4

  14. Rounding Round 0.0458 to 2 sig figs. 0.0458 3 sig figs 0.045 2 sig figs Could be 0.045 or…… Nearer to 0.046 0.0456 → 0.046 to 2 sig figs 8 0.046

  15. Round to no of sig figs indicated 1. 0.0243 (2) 2. 0.0247 (2) 3. 0.281 (2) 4. 0.7264 (3) 5. 0.2439 (3) 6. 0.0346 (2) 7. 0.043 (1) 8. 0.0876 (2) 9. 0.02568 (2) 10. 0.0423 (1) 11. 0.00403 (1) 12. 0.2856 (1) 13. 0.0563 (1) 14. 0.0403 (2) 15. 0.25963 (2) 16. 0.03004 (3)

  16. Zeros at the start are not significant for numbers less than 1. No of sig figs 0.0050 Rounding to 2 sig figs 0.0348→ (2) 0.035

  17. And finally Dodgy answers Round 288 to 2 sig figs 290 Round 298 to 2 sig figs 300 Yes they can be stupid and annoying!

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