Scientific Notation with Positive Powers of 10

Warm UpSimplify each expression.

• How many places to the left did you move the decimal point to write 41,200 in scientific notation?

• What is the exponent on 10 when you write 41,200 in scientific notation?

Is 12 x 107 written in scientific notation?

Explain.

Write each number in scientific notation.

• 6400

• 570,000,000,000

• A light-year is the distance that light travels in a year and is equivalent to 9,461,000,000,000 km. Write this distance in scientific notation.

• Explain why the exponents in 3.5 x 106 is 6, while there are only 5 zeros in 3,500,000.

• What is the exponent on 10 when you write 5.3 in scientific notation?

Write each number in standard notation.

• 7.034 x 109

• 2.36 x 105

• The mass of one roosting colony of Monarch butterflies in Mexico was estimated at 5 x 106 grams. Write this mass in standard notation.