Scientific Notation Word Problems

A rectangular section of land made up of wheat farms has a length of 5 X 10⁴ meters and a width of 6 X 10³ meters What is the area of the land in square meters?

• 3 X 10⁶ m²

• 3 X 10⁷ m²

• 3 X 10⁸ m²

• 3 X 10¹² m²

A box contains 5 X 10³ paper clips. The mass of each paper clip is 8 X 10^-4 kilograms. What is the combined mass of the paper clips in the box?

• 4 kilograms

• 40 kilograms

• 4 X 10⁷ kilograms

• 4 X 10^-7 kilograms

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles? 

• 4.3092 x 10¹
• 3.9098 x 10⁷
• 3.9098 x 10⁸
• 5.7678 x 10⁸

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?

• 1.271 x 10¹⁰
• 1.271 x 10⁹
• 1.271 x 10¹¹
• 1.271 x 10⁸

By area, Russia is the largest country in the world. It has an area of 8.649 x 10⁶ square miles. Canada is second with 4.797 x 10⁶ square miles. What is the difference in area?

• 3.852 x 10⁶ square miles
• 3.852 x 10⁰ square miles
• 1.803 x 10⁶ square miles
• 1.803 x 10¹ square miles

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

• 7.5 × 10⁶ t-shirts

• 7.5 × 10⁴ t-shirts

• 75 × 10⁵ t-shirts

• none of these

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?

• 7.752 x 10¹¹
• 7.752 x 10²⁸
• 8.62 x 10¹¹
• 8.62 x 10²⁸

In 2012, New York City (NYC) and Los Angeles (LA) has the highest populations of any cities in the United States. NYC’s population was about 8.1 × 10⁶ and LA’s population was about 3.8 × 10⁶. What is the population of these two cities combined?

• 1.19 x 10^-7

• 1.19 x 10⁷

• 11.9 x 10⁶

• 1.19 x 10⁶

If a computer can perform an addition operation in 1.5 x 10^-6 seconds, how long will it take to perform 1500 such operations?

• 2.25 x 10^-3 seconds
• 2.25 x 10^-6 seconds
• 2.25 seconds
• 2.25 x 10⁶ seconds

A TV show had  $3.5\cdot10^{7\ }$  viewers for their first episode and  $2\cdot10^5\$  viewers for their second episode. How many total viewers were there? Write your answer in scientific notation. 

•  $3.52\cdot10^7$  

•  $3.52\cdot10^5$  

•  $1.52\cdot10^{12}$  

•  $7\cdot10^8$