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Measured and Exact Numbers

# Measured and Exact Numbers - Chapter 1 Measurements...

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Chapter 1 Measurements Measured Numbers and Significant Figures

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Measured Numbers When you use a measuring tool is used to determine a quantity such as your height or weight, the numbers you obtain are called measured numbers .
Reading a Meterstick . l 2 . . . . I . . . . I 3 . . . .I . . . . I 4 . . cm First digit (known) = 2 2 .?? cm Second digit (known) = 0 .7 2.7 ? cm Third digit (estimated) between 0.05- 0.07 Length reported = 2.75 cm or 2.76 cm or 2.77 cm

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Known + Estimated Digits Known digits 2 and 7 are 100% certain The third digit 6 is estimated (uncertain) In the reported length, all three digits (2.76 cm) are significant including the estimated one
Learning Check . l 8 . . . . I . . . . I 9 . . . .I . . . . I 10 . . cm What is the length of the line? 1) 9.2 cm 2) 9.22 cm 3) 9.23 cm How your answer compare with your neighbor’s answer? Why or why not?

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Solution . l 8 . . . . I . . . . I 9 . . . .I . . . . I 10 . . cm Estimate to the hundreth’s place (0.01 cm) 2) 9.22 cm 3) 9.23 cm The estimated digit may be slightly different. Both readings are acceptable.
Learning Check l 5 . . . . I . . . . I 6 . . . .I . . . . I 7 . . cm What is the length of the line?

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