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Scientific / Standard Notation
Word Problems
Multiplying / Dividing Scientific Notation
Adding / Subtracting Scientific Notation & Square Roots
Rational / Irrational/ Squares / Cubes
100

Write 3.421 x 10-3 in standard notation.

0.003421

100

The area of the carrot section of a farmer's field is 2 x 109. The area of the corn section of a farmer's field is 1.8 x 109. How many times larger is the area of the carrot section than the corn section?

1.1 repeated x 100

100

(6.5 x 10-12)(2.1 x 10-12)

1.365 x 10-23

100

√160-16  +2

14

100

Which of the following is NOT a rational number?

√25,  √100, √105, √144

√105

200

Write 5,974,000 in scientific notation.

5.974 x 106

200

The thickness of a pixie wing is 4.5 x 10-2 inches. Express this number in standard notation. 

0.045 inches

200

(6.25 x 104) / (2.5 x 10-2)

2.5 x 106

200

(1.02 x 1026) - (4.87 x 1024)

9.713 x 1025

200

Which of the following numbers are rational?

-3, -3.563719473..., 17.25, √17,  √25

-3, 17.25, √25

300

Write 483,780,000 in scientific notation.

4.8378 x 108

300

The diagonal of a rectangle is √37 cm long. Find the decimal approximation for the length of the diagonal. (Round your answer to the nearest tenth.)

6.1

300

(8 x 1010) / (4 x 106)

2 x 104

300

(3.5 x 10-3) + (6.25 x 10-5)

3.5625 x 10-3

300

√37 lies in between which two numbers? 

6 and 7

400

What is 7.8 x 10-4 in standard notation?

0.00078

400

The circumference of Jupiter is approximately 3 x 105 miles. The circumference of Earth is approximately 2 x 104 miles. How many times greater is the circumference of Jupiter than the circumference of Earth? Write in standard notation.

1.5 x 101 = 15

400
9.36 x 10-2 / 3 x 104

3.12 x 10-6

400

Pieces of salt range in diameter from 1.5 x 10-3 inches to 6.9 x 10-2 inches. Find the difference in scientific notation between the largest and smallest particles.

6.75 x 10-2

400

A square garden has an area of 225 square feet. What is the length of one side of the room?

15 feet

500

Jeff Greenly is an asparagus farmer. In one year, Mr. Greenly harvested 82,300 pounds of asparagus. Express this number in scientific notation.

8.23 x 104 pounds

500

A pine field is 2.1 x 104 feet long and 2 x 103 feet wide. The spruce field is 5 x 102 feet long and 4 x 104 feet wide. What is the area of the pine field? What is the area of the spruce field? 

pine field: 4.2 x 107

spruce field: 2 x 107

500

(3.2 x 103)(4 x 105)

1.28 x 109

500

The difference between Mercury and Earth is 4.8 x 107 km. The difference between Earth and Pluto is 7.5 x 109 km. What is the total distance in scientific notation between the planet Mercury and Pluto?

7.548 x 109

500

A cube has a volume of 512 cubic centimeters. What is the length of one side of the cube?

8 cm