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Significant Figures

2 significant figures. Significant Figures. 56 000 000. 45. 0.0062. to nearest million. 3 significant figures. to nearest whole. 378 000. to 4 dec pl. 27.3. 0.005 32. 4 significant figures. to nearest 1000. to nearest tenth. to nearest hundred thousandth. 7002. to 1 dec pl.

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Significant Figures

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  1. 2 significant figures Significant Figures 56 000 000 45 0.0062 to nearest million 3 significant figures to nearest whole 378 000 to 4 dec pl 27.3 0.005 32 4 significant figures to nearest 1000 to nearest tenth to nearest hundred thousandth 7002 to 1 dec pl 5.308 to 5 dec pl 56.0 3050 0.004 07 to 3 dec pl to nearest tenth to nearest ten to 5 dec pl

  2. Round each of the following to 2 sig fig 8 776 341 31.793 258.6 91 832 428 0.085 726 129.3 2040 1.036 35.67 Round each of the following to 3 significant figures 34 629 73 579 1347 45.666 2.8369 34 600 73 600 1350 45.7 2.84 173.92 0.004683 9044 0.04968 12.345 174 0.00468 9040 0.0497 12.3 0.000 083 76 47.73 31.655 919.9 2547 0.000 083 8 47.7 31.7 920 2550 8 800 000 32 260 92 000 430 0.086 130 2000 1.0 36

  3. Standard Form 54 300 = 5.43 x 10 4 300 = 3 x 102 501 040 = 5.0104 x 10 5 426 = 4.26 x 102 6700 = 6.7 x 103 Write each of the following in standard form : 1. 2730 2. 35.9 3. 42 398 4. 670 = 2.73 x 103 = 3.59 x 101 = 4.2398 x 104 = 4.67 x 102 5. 1 000 000 6. 23 456 7. 70.6 = 1 x 106 = 2.3456 x 104 = 7.06 x 101 8. 377 9. 7.3 10. 4 = 3.77 x 102 = 7.3 x 100 = 4 x 100

  4. standard form (or Scientific Notation) Write in full: 4.23 x 104 5.32 x 102 7.89 x 106 = 42 300 = 532 = 7 890 000 2.1 x 103 5.2 x 100 7.5 x 104 = 2 100 = 5.2 = 75 000 Small numbers: 0.064 = 6.4 x 10 - 2 200 2 x 10 2 2 x 10 1 20 2 x 10 0 2 = 4.7 x 10 2 x 10 -1 0.2 0.000 047 - 5 2 x 10 -2 0.02 0.002 2 x 10 -3 …….

  5. Write in Standard Form Write in full 12 533 4 x 10 4 = 1.2533 x 10 4 = 40 000 0.0473 2.5 x 10 2 = 4.73 x 10 - 2 = 250 5.72 5.38 x 10 -3 = 5.72 x 10 0 = 0.00538 0.682 4 x 10 0 = 6.82 x 10 - 1 = 4

  6. 03 5.3 Use the calculator for standard form EE Exp or on scientific calculator in place of x 10n on display means 5.3 x 103 5.3 x 103 x2.7 x 104 5.3Exp3 x 2.7Exp4 1.431 x 108 = without calculator / estimate 2.83 x 102x 9.167 x 103 5 x 103 x3 x 104 estimate 3 x 9 x 102x 103 = 5 x 3 x 103x 104 27 x 105 = 2.7 x 106 = 15 x 107 = 2.594261 x 106 = 1.5 x 10x 107 = 2.59 x 106 to 3 sig fig = 1.5 x 108

  7. Estimate first, then calculate, round your final answer to 3 sig fig: 4.27 x 102x 2.137 x 105 2.27 x 108x 2.936 x 107 = 4 x 2 x 102x 105 = 2 x 3 x 108x 107 = 9.12499 x 107 = 8 x 107 = 6.66472 x 1015 = 6 x 1015 = 9.12 x 107 = 6.66 x 1015 8.23 x 103x 5.747 x 102 7.63 x 101x 5.143 x 105 = 8 x 6 x 103x 102 = 8 x 5 x 101x 105 = 39.24109 x 106 = 48 x 105 = 47.29781 x 105 = 40 x 106 = 4.8 x 106 = 4 x 107 = 39.2 x 106 = 4.73 x 106 3.14 x 10-1x 1.666 x 10-2 9.14 x 10-2x 7.666 x 10-4 = 3 x 2 x 10-1x 10-2 = 70.06724 x 10-6 = 72 x 10-6 = 5.23124 x 10-3 = 6 x 10-3 = 5.23 x 10-3 = 7.01 x 10-5 = 7.2 x 10--5 1.55 x 105x 3.419 x 10-3 7.25 x 10-6x 4.119 x 103 = 28 x 10-3 = 6 x 102 = 29.86275 x 10 -3 = 5.29945 x 102 = 2.8 x 10--2 = 2.99 x 10 -2 = 5.30 x 102

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