Bell Quiz

Objectives

• Review how to write large and small numbers in scientific notation.

• Multiply and divide numbers written in scientific notation by applying the rules of exponents.

Scientific Notation

• Very large or very small numbers are often written in scientific notation.

• Scientific notation is a method of writing a number as the product of a number greater than or equal to 1 but less than 10 and a power of ten.

Example 1Writing Numbers in Scientific Notation

Write the number in scientific notation.

856,000

Lesson Practice

Write the number in scientific notation.

1,234,000

Example 2Writing Numbers in Scientific Notation

Write the number in scientific notation.

0.0005

Lesson Practice

Write the number in scientific notation.

0.0306

Scientific Notation

• To multiply numbers in scientific notation:– Multiply the coefficients.– Then add the powers. – If the result is not in scientific notation, adjust it so

that it is.

Example 3Multiplying Numbers in Scientific Notation

Find the product. Write the answer in scientific notation.

(5.82 x 103) (6.13 x 1011)

Lesson Practice

Find the product. Write the answer in scientific notation.

(5.7 x 105) (1.8 x 103)

Scientific Notation

• To divide numbers in scientific notation:– Divide the coefficients.– Then subtract the powers. – If the result is not in scientific notation, adjust it so

that it is.

Example 4Dividing Numbers in Scientific Notation

Find the quotient. Write the answer in scientific notation.

1.2 x 103 9.6 x 106

Lesson Practice

Find the quotient. Write the answer in scientific notation.

7.29 x 10 – 2 8.1 x 10 – 6

Example 5Comparing Expressions with Scientific Notation

Find the quotient. Write the answer in scientific notation.

7.2 x 106 1.05 x 107

3.6 x 104 3.5 x 105○

Lesson Practice

Find the quotient. Write the answer in scientific notation.

4.56 x 109 5.2 x 108

3 x 105 1.3 x 105○

Example 6Application: Speed of Light

The speed of light is 3 x 108 meters per second. If the Earth is 1.47 x 1011 meters from the sun, how many seconds does it take light to reach Earth from the sun? Write the answer in scientific notation.

Lesson Practice

The speed of light is 3 x 108 meters per second. If the Mars is 2.25 x 1011 meters from the sun, how many seconds does it take light to reach Mars from the sun? Write the answer in scientific notation.