1. State the number of significant digits in each of these.
a) 407 b) 3.860
c) 0.038 0 d) 0.020
e) 4 400 f) 0.000 000 000 588
g) 7.388 5 h) 40 500
(1/2 marks each)
2. Express each of these in scientific notation.
a) 437 b) 2 206
c) 0.000 005 45 d) 54 030
e) 27 583 000 f) 0.000 000 473 8
g) 0.040 30 h) 40 000 000
i) 0.30 j) 74
(1/2 marks each)
3. Express in common notation.
a) 3.4 X 101 b) 5.5 X 103
c) 43.3 X 10-3 d) 6.334 7 X 103
e) 5.003 6 X 10-3 f) 7.2 X 102
(1/2 marks each)
4. Make the following calculations and express to the correct number of significant
digits.
a) ((38.37)(4.7) - (26.55 - 9.8))/38.2
b) (437.38 - 22)/(3.776 + 5.8)2
c) 4.382 - (2.470 - 4.0(3.23)(-4.80))1/2
d) (7.6 + 5.388 - 4.63)/(2.47)(3.874)
e) (573.496 - 23.6)(550.3 + 19.863)
(1 mark each)
5. An experiment was carried out in which two measurements were made, 347.6 and
335.3 m. If the accepted value is 339.7 m,
a) what is the percent difference? (3 marks)
b) what is the percent error? Make sure to use the average measured value.
(3 marks)
6. The percent error in a measurement is 4.3%. If the measured value is 43.75 kg, what
is the accepted value? (2 marks)
7. The legs of a cyclist were stopped when a wheel with 10 slits in it rotated 10 times
in 2.20 minutes. What is the frequency of the cyclist’s legs?
November 18, 2013