Unit Conversion and Significant Digit Practice

Purpose

To use unit conversions and dimensional analysis in calculations.

For help with these problems see the following:

Use dimensional analysis to complete the following.

1. Convert...

130 lbs to kg (2.2 lb = 1 kg)

4.65 km to m

1 year to minutes (365 days = 1 year)

22.4 kg/L to kg/mL

2. If you are traveling at 50 mph, how many minutes will it take to travel 10 km? (1 mile = 1.6 km)

3. Convert 50.0 years into seconds. Express your answer in scientific notation.

4. Calculate your height in meters. In centimeters. In kilometers. Use scientific notation where appropriate.

5. Give the number of significant digits for the following:

25.0 has significant digits 600 has significant digits

0.00020 has significant digits 0.04 has significant digits

0.0270 has significant digits 150 has significant digits

6. Calculate the following to the correct number of significant digits.

9.35 + 4.10 - 2.15 =

4.507 + 0.38 + 10.0 =

412.16 + (3.8 x 10-1) – (1.6 x 10-2) =

7. Calculate the following to the correct number of significant digits.

4.18 x 0.051960 =

0.50 ÷ 4.12 = _____________

(6.39 x 104) ÷ (2.8 x 10-8) x (1.835 x 10-2) =

8. Round the following to two significant digits.

23.4 becomes

6.75 becomes

1549 becomes

9. Round the following to three significant digits.

15360 becomes

6.045 becomes

0.02538 becomes

10. Convert the following. Give answers in the correct number of significant digits.

0.32 km to m 73 mL to L

0.40 g to kg 43,900 mm to km

9.43 x 104 mg to kg 6.34 x 10-6 L to mL

11. Perform the following calculations - pay particular attention to the units!

100 g + 0.2 kg =

1.2 km - 500 m =

30 m * 50 m =

52 m / 2 s =