Scientific Notation Review

Converting

100

True or False: 14.2 x 10⁷ is in scientific notation?

False

200

Write 4.5 x 10³ in standard form.

What is 4500?

300

Write 341,000 in scientific notation.

What is 3.41 x 10⁵?

400

Write 0.0000029 in scientific notation.

What is 2.9 x 10^-6?

500

Round 1.21 x 10¹ to the nearest whole number (in standard form).

What is 12?

Operations

100

Find the sum. Write your answer in scientific notation.

(2 x 10⁴) + (6.1 x 10⁴)

8.1 x 10⁴

200

Find the difference. Write your answer in scientific notation.

(8.7 x 10^-2) - (9.2 x 10^-3)

7.78 x 10^-2

300

Find the product. Write your answer in scientific notation.

(4.6 x 10⁷) x (3.9 x 10⁴)

1.794 x 10¹²

400

Find the quotient. Write your answer in scientific notation.

(1.24 x 10¹²) / (7.82 x 10¹²)

1.5856 x 10^-1

500

Find the product. Write your answer in scientific notation.

(5.3 x 10³) x (3.9 x 10⁴) x (2.3 x 10^-1)

4.75 x 10⁷

Application Problems

100

If Bill Gates has $9.7 x 10¹⁰ and then he makes $3.3 x 10⁹ from selling a company, how much money does he have now?

1.003 x 10¹¹

200

An atom is 4 x 10^-9 inches wide. What is the width of the atom in standard form? 

0.000000004

300

If Jenny has 4.3 x 10³ legos and Juan has 3.6 x 10² legos, how many times greater is Jenny's lego set than Juan's? Round your answer to the nearest whole number.

Jenny's lego set is 12 times bigger than Juan's lego set.

400

The width of a paper is 4 x 10^-3 inches. If I have a stack of 300 papers, how tall would my stack be?

The stack would be 1.2 inches thick.

500

If the thickness of a dime is 0.12 inches and the thickness of a dollar is 4.5 x 10^-2, how many times greater is the thickness of a dime than the thickness of a dollar bill? Round your answer to the nearest whole number.

The dime is three times thicker than the dollar bill.