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 1
Writing Numbers in Scientific Notation
Write the number in scientific notation.
856,000

Lesson Practice
Write the number in scientific notation.
1,234,000

Example 2
Writing Numbers in Scientific Notation
Write the number in scientific notation.
0.0005

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 3
Multiplying Numbers in Scientific Notation
Find the product. Write the answer in scientific notation.
(5.82 x 10 3 ) (6.13 x 10 11 )

Lesson Practice
Find the product. Write the answer in scientific notation.
(5.7 x 10 5 ) (1.8 x 10 3 )

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 4
Dividing Numbers in Scientific Notation
Find the quotient. Write the answer in scientific notation.
1.2 x 10 3
9.6 x 10 6

Lesson Practice
Find the quotient. Write the answer in scientific notation.
7.29 x 10 – 2
8.1 x 10 – 6

Example 5
Comparing Expressions with Scientific Notation
Find the quotient. Write the answer in scientific notation.
7.2 x 10 6
3.6 x 10 4
○
1.05 x 10 7
3.5 x 10 5

Lesson Practice
Find the quotient. Write the answer in scientific notation.
4.56 x 10 9
3 x 10 5
○
5.2 x 10 8
1.3 x 10 5

Example 6
Application: Speed of Light
The speed of light is 3 x 10 8 meters per second.
If the Earth is 1.47 x 10 11 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 10 8 meters per second.
If the Mars is 2.25 x 10 11 meters from the sun, how many seconds does it take light to reach
Mars from the sun? Write the answer in scientific notation.