Math in Astronomy Part I

Astronomy Name______Chapter 1 Period______Worksheet Date______Math in Astronomy Part I

Directions: Write all of your answers in scientific notation (except were specified otherwise) with the correct number of significant digits. Include all units in your answers and show your work.

Units and Conversions (1 point each) 1. Convert the following: a. The distance to the moon => 384,000 km to miles

b. 3.45 miles to inches

c. 245 years to minutes

d. 45 mph to km/hr

e. The speed of light => 3.00 x 108 m/s to miles per hour

Scientific Notation and Significant Digits (1 point each) 2. Write 207,000 in scientific notation.

3. Write 4.56 x 107 in normal notation.

4. Convert the following distances to scientific notation.

a. Earth’s mass: 5,974,000,000,000,000,000,000,000 kg

b. The Sun’s mass: 1,989,999,000,000,000,000,000,000,000,000 kg

c. The Sun’s radius: 695,990 km

d. One year: 31,558,000 s

5. Write 7.530 x 10-5 in normal notation.

6. How many significant digits do the following numbers have? a. 0.00098900 b. 5400 c. 100.00300