Exponents
Scientific Notation
Word Problems
100

3* 33

35

100

Convert into scientific notation

810

8.1 * 102

100

The area of a rectangle is x9, the width is x6. What is the length of the rectangle?

x3

200

63 * 53 

303

200

Simplify

6.37 * 104

63,700

200

The length of a table is 4xy, and the width is 3x2y5. What is the area of the table? 

12x3y6

300

3-4 * 38

34

300

4 * 10 * 5 * 102

2 * 106

300

The population in New Hampshire in 2024 was 1.4 * 106. The population of Vermont in 2024 was 6.8 * 105. How many more people lived in New Hampshire than Vermont in 2024 written in scientific notation?

7.2 * 105

400

(23)* (4)6

86

400

8 * 10 / 2.5 * 103

3.2 * 103

400

The carrot sales were 5.6 * 103, and the corn sales were 3.2 * 105. What is the combined sales of carrots and corn? (Write your answer in scientific notation). 

3.256 * 105

500

12x6y8/6x4y5

2x2y3

500

7.3 * 104 + 2 * 105

2.73 * 105

500

The business had a profit of 5 * 104. The business then lost 4 * 103. A month later the business earned 2.5 * 103. What is their end profit. ( Write your answer in standard form). 

$48,500

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