Unit 10 Study Guide: Exponents and Scientific Notation

A microgram is equal to 1 x 10 ^-6 grams. How many times greater than a microgram is 1 x 10² grams? 

• 1 x 10^-8
• 1 x 10^-4
• 1 x 10⁴
• 1 x 10⁸

As part of a community service project, a class planted 7x10⁵  trees in a year.  If there are 3.5x10³ students in the school, how many trees did each student plant?

• 2 x 10⁸
• 2 x 10²
• 3.5 x 10⁸
• 3.5 x 10²

Write 9,450,000 in scientific notation.

• 9.45 x 10⁴
• 9.45 x 10⁵
• 9.45 x 10⁶
• .945 x 10⁷

The approximate distance from the sun to Mars is 2.28 x 10⁸ miles. Jupiter's distance from the sun is 7.89 x 10⁸ miles. What is the difference between these two distances in miles in scientific notation?

• 9.61 x 10⁸

• 5.61 x 10⁸

• 56.1 x 10⁷

• 56.1 x 10⁸

A computer's hard disk drive holds 8 x 10⁷ bytes of information.  If Jill buys an extra memory stick that holds 3 x 10⁶ bytes of information, how much memory will the computer hold?

• 11 x 10¹³
• 11 x 10⁷
• 8.3 x 10¹³
• 8.3 x 10⁷

The US spends an average of 2x10⁴ dollars on each student per year. There are about 6.x10⁷ students in the US. About how much money total is spent on students per year?

• 1.2 x 10¹³

• 1.2 x 10¹²

• 8. x 10¹¹

• 4 x 10²⁸

Convert this number into scientific notation: 0.068

• 6.9 x 10⁶

• 6.8 x 10^-9

• 6.8 x 10^-2

• None of the above

Simplify the expression: 
c⁴⋅c³=

• ^c12
• c⁴⁺³
• c⁷

• 
• 
• 
• 

x⁶ / x²

• x⁴

• x¹²

• x³

• x⁸