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Using in calculations

This guide explains how to use significant figures in multiplication, division, addition, and subtraction. Your final result cannot be more accurate than the least precise measurement used; ensure your answer has the same number of significant figures as that measurement. For example, in multiplication, round up if the number is five or more. The guide also covers proper alignment of decimal points in addition and subtraction, and the use of scientific notation to express significant figures correctly. Master these concepts for accurate calculations.

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Using in calculations

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  1. Using in calculations

  2. Formultiplicationand division.

  3. Your answer can not be more accurate than the least accurate measurement.

  4. Your answer MUST have the same number of sig figs as the least number of sig figs.

  5. Rounding Numbers Five or more round up.

  6. Examples

  7. 135 x 32 = 4320 3 S.F. 2 S.F. 2 S.F. Answer must be 4300 it has 2 sig figs.

  8. 610 x 6.20 = 3782 2 S.F. 3 S.F. 3800 What is the correct answer?

  9. Foraddition and subtraction

  10. Your answer can not contain more decimal points than the least accurate measurement.

  11. Line up the decimal points in the numbers. 2.515 + 1.3 +12.00 =????

  12. 2.515 1.3 + 12.00 15.815 Answer stops here

  13. Scientific notation

  14. Any number written correctly in Sci. Not. before the times sign must be a SIG FIG.

  15. Examples 3.50 x 1023 3 S.F. 5.0 x 10 -4 2 S.F. 1 S.F. 3 x 10-4

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