Math Practice for Physics: Name: __________________________ Part 1: Conversions 1. If a radio wave has a period of 1𝜇s, what is the wave’s period in seconds? 2. A hydrogen atom has a diameter of about 10 nm. a. Express this diameter in meters. b. Express this diameter in millimeters. c. Express this diameter in micrometers. 3. The distance between the sun and Earth is about 1.5 × 1011 m. Express this distance with an SI prefix and in kilometers. 4. Convert 55 km/hour to m/s ( 1.6 km = 1 mile; 1 mile = 5,280feet). Show all steps 5. Convert 23 miles / hour to km/s Part 2 - SIGNIFICANT FIGURES Determine how many significant figures are in each of the following measurements: 6. 0.00540700 mm 9. 350980 g 7. 25.0080 kg 8. 4500.0 L ______________ 10. 0.000082 mg SIGNIFICANT FIGURES IN CALCULATIONS: PROBLEMS – express the following calculations using the proper number of significant figures: 11. 129 kg/29.2 kg 14. 7.25 g+ 59.1g + 5.259 g 12. 31.8 m/45.0 m 13. 0.098 mm/45.4 mm 15. 52.1 g - 42.0 g Part 3: Significant Figures in Measurements: Record each measurement to the correct number of significant figures. a) ________ b) ________ c) _________ d 0 e 1 g f 2 3 4 meters, m G r a d u a t e d A C y l i n d e r B d) ______ e) _______ f) ________ g) ______ P r a c t i c e C D E F 50 100 10 500 100 10 40 80 9 400 90 9 30 60 8 300 80 8 20 40 7 200 70 7 10 20 6 100 60 6 (you may assume all cylinders measure in mL) maximum capacity of cylinder smallest division = volume shown above (with correct sig figs) = A B C D E F