University:
Jackson College
Course:
MAT-010 | Basic Mathematics
Academic year:

2024
Views:

59

Pages:

2
Author:

Gilbert Pineda

Worksheet 1.4: Significant Figures In a number, all digits up to, and including, the first doubtful digit are significant (except for zeros simply fixing the location of the decimal point in front of significant figures, and a zero ending a number with no decimal point). For example, 5.85, 0.0619, 95.0 and 1550 all have 3 sig. figs. Give the number of sig. figs. In the following numbers: a) 416.70: 5 sig. figs. d) 1.0002: 5 sig. figs. b) 0.007219: 4 sig. figs. e) 9800: 2 sig. figs. c) 0.010624: 5 sig. figs. f) 0.0100: 3 sig. figs. If 8292742.3 were written as a number with 3 sig. figs., it would read 8.29 x 106. Write the following numbers with 3 sig. figs.: a) 476301: 4.76 x 105 b) 0.007219: 7.22 x 10-3 c) 0.010264: 1.03 x 10-2 When adding or subtracting, don’t carry results beyond the first doubtful column. For example, 4.16 + 2.4 = 6.6. Try the following: a) 4.16 – 2.2 = 2.0 c) 248.768 – 37.53 = 211.24 b) 27.5 + 3.16 + 150.0001 = 180.7 d) 6 + 8.743 = 15 When multiplying or dividing, the number of sig. figs. in the result should equal that of the factor with the least. For example, (24.7) (3.4) = 84. Try the following: a) 24.7 / 3.4 = 7.3 d) 8572.0 x 10.0 = 8.57 x 104 b) 25.0 x 20 = 500 e) 81 / 27 = 3.0 c) 48.64 / 1.6000 = 30.40 Do the exercise on the back of this page. Perform the following calculations, giving your answer with the appropriate number of significant figures in scientific notation: a) 3.50 x 7.984 = 2.79 x 101 b) 125.7 + 12 = 1.38 x 102 c) 75 - 3 = 7.2 x 101 d) 375.45 / 97.3 = 3.86 e) 1.165 x 103 - 8.7 x 102 = 3.0 x 102 f) 17.34 x 5.46 / 3.4 = 2.8 x 101 g) 10500 / 34.56 = 3.04 x 102 h) 7.050 x 102 / 3.564 x 10-3 = 1.978 x 105 i) 1.246 x 105 + 2.356 x 102 = 1.248 x 105 j) 250. - 3.5 = 2.46 x 102 k) 75.3 + 87.82 = 1.631 x 102 l) 74.3 x 4.5 + 23.5 = 3.6 x 102 m) 12.35 - 75.00 / 25.00 = 9.35 n) 9.8 x 75.3 / 6.5 = 1.1 x 102 o) 3.5 x 10-2 + 1.3 x 10-3 = 3.6 x 10-2

Significant figures practice key

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