## Problems on Powers of 10

#### Section A: Addition, Multiplication, Division with Powers of 10

 1. 102 x 105 = ? 9. 103 ÷ 10-3 = ? 2. 1015 x 1039 = ? 10. 1016 ÷ 1039 = ? 3. 1016 x 10-13 = ? 11. 1039 + 103 = ? 4. 10-8 x 102 = ? 12. 1015 - 10-14 = ? 5. 10-8 x 10-5 = ? 13. 106 + 105 = ? 6. 105 ÷ 102 = ? 14. 105 + 105 = ? 7.102 ÷ 108 = ? 15. 1036 - 102 = ? 8. 102 ÷ 10-8 = ?

#### Section B: Estimating Orders of Magnitude

1. How much is a grown-up person likely to weigh in pounds? Give just an order of magnitude.

a. 100
b. 1021
c. 102
d. 103
e. 104

2. How much is a car likely to weigh in pounds? Again, just give an order of magnitude estimate.

a. 100
b. 102
c. 103
d. 104
e. 108

3. How far is it from Denver to Boulder in meters? Once again, this is only an order of magnitude question.

a. 10
b. 104
c. 108
d. 1015
e. 1030

#### Section C: Try to estimate relative sizes

1. The Earth is ____ times bigger than a mountain?

a. 106
b. 103
c. 100
d. 101

2. Assuming a person lives to be 100 years old, how many lifetimes have passed between the last ice age and now?

a. 103
b. 1011
c. 1010
d. 102

3. How many lightning flashes would you need to get the energy of a thunderstorm?

a. 100,000
b. 10,000
c. 1,000
d. 100