Multiplying and Dividing Scientific Notation Word Problems

A TV show had 3.5 × 10⁶ viewers for their first episode and 8.5 × 10⁶ viewers for their second episode. How many viewers did they have overall?

• 1.2 x 10⁷

• 1.2 x 10^-7

• 1.2 x 10⁶

• 1.2 x 10^-6

The pitch of a sound is determined by the number of vibrations produced per second. The note “middle C” produces 2.62 x 10² vibrations per second. If a pianist plays middle C for 5 x 10^-1 seconds, how many vibrations will occur? Which operation would you use to solve this problem?

• Addition

• Subtraction

• Multiply

• Divide

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

• 3.326 x 10⁵

• 3.326 x 10⁶

• 1.99 x 10³⁰

• 1.99 x 10⁶

Solve:
(6 x 10⁶) / (2 x 10³)

• 12 x 10³

• 3 x 10⁹

• 1.2 x 10⁴

• 3 x 10³

In the year 2000, the United States public debt was about 5.6 x 10¹² dollars.  The population of the United States in that year was about 2.8 x 10⁸ people.  What was the average debt per person?

• Add

• Subtract

• Multiply

• Divide

The pitch of a sound is determined by the number of vibrations produced per second.  The note “middle C” produces 2.62 x 10² vibrations per second.  If a pianist plays middle C for 5 x 10^-1 seconds, how many vibrations will occur?

• Addition

• Subtraction

• Multiply

• Divide

The Colorado Department of Education spent about 4.408 x 10⁹ in fiscal year 2004-2005 on public schools.  There were about 7.6 x 10⁵ students enrolled in public school.  What was the average spending per student? 

• Add

• Subtract

• Multiply

• Divide

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

• Add

• Subtract

• Multiply

• Divide

A factory can make 3 × 10⁴ t-shirts per day, how many t-shirts will it make in 2.5 ×10² days?

• Add

• Subtract

• Multiply

• Divide

The US spends an average of 1.02x10⁴ dollars on each student per year. There are about 7.6x10⁷ students in the US. About how much money total is spent on students per year?

• Add

• Subtract

• Multiply

• Divide