Scientific notation review

Write each number in scientific notation.

The temperature in the core of the sun is 27,000,000 °F.

• 27 X 10⁸

• 2.7 x 10^-8

• 2.7 x 10⁷

• 27 x 10^-7

Answer explanation

Move the decimal to the left adding decimal places 7 times so there is only 1 number to the left of the decimal.

Write each number in scientific notation.

The length of an adult fruit fly is 0.004 of a meter.

• 4.0 x 10^-3

• 4 x 10³

• 4.0 x 10³

• 4.0 x 10⁰

Answer explanation

Move the decimal over 3 places to the right, adding decimal places so there is 1 number to the left of the decimal.

Simplify the following monomials. Your answer should contain positive exponents only!

(9.7×10⁷) + (4.3x10⁷)

• 14 x 10⁸

• 14 x 10⁷

• 1.4 x 10⁸

• 1.4 x 10⁶

Answer explanation

Since both numbers are like terms, the exponents are the same, we can add 9.7 and 4.3 together. The sum is 14 and bring down the 10⁷. Move the decimal one place to the left for proper scientific notation. Add 1 to your exponent and 7+1 is 8.

Simplify the following monomials. Your answer should contain positive exponents only!

(8×10⁶) + (7.3×10⁸)

• 8.073 x 10⁶

• 8.073 x 10^-6

• 8.073 x 10⁴

• 8.073 x 10^-4

Answer explanation

Move the decimal of 1 number to make them like terms. Add. Move the decimal so your answer is in proper scientific notation if necessary.

Write each number in standard form.

The distance from New York to Los Angeles is about 1.77 x 10⁸ inches.

• 0.0000000177

• 177,000,000

• 177,000,000,000

• 0.0177

Write each number in standard form.

The mass of a snowflake is 3 x 10^-6 kilograms.

• 30,000

• 0.000003

• 0.3000

• 3.00

How would you write 4.3756 x 10⁴ in standard form?

• 43,756
• 4375600

• 0.043756

• 44

How would you write 0.0005 in scientific notation?

• 50 x 10^-5

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

Which of the following numbers is written in scientific notation?

• 20.35 x 10⁴

• .2035 x 10⁴

• 2035 ⁴

• 2.035 x10⁴

Express the following in scientific notation:

.000457

• 457 x 10⁶

• 457 x 10^-6

• 4.57 x10⁴

• 4.57 x 10^-4