Download Lesson 37, Using Scientific Notation

Warm Up
1.The _____________________ tells how many times the base is used as a factor.
2.Simplify 74 .
3.Simplify (8.34)(−4)(100)
4.Simplify 5−5
5.Simplify
3𝑥 −3
5𝑥𝑦 −5
Lesson 37: Using Scientific
Notation
The Number System, Expressions and Equations
Scientific Notation
• We use scientific notation to write very large or very small numbers.
• For example, 3,000,000,000,000,000 takes a long time and a lot of room to
write in standard form, but in scientific notation, it takes much less room:
3.0 × 1015
• Scientific Notation: a number written as the product of a number greater
than or equal to 1 but less than 10 and a power of ten
• To multiply numbers in scientific notation, multiply the coefficients and
then multiply the powers. If your result isn’t in scientific notation, adjust it
so it is.
• To divide numbers in scientific notation, divide the coefficients and then
divide the powers. If your result isn’t in scientific notation, adjust it.
Example
Write each number in scientific notation.
a.856,000
b.0.0005
Example
Find the product. Write the answer in scientific notation.
(5.7 × 105 )(1.8 × 103 )
Example
Find the quotient. Write the answer in scientific notation.
1.2 × 103
9.6 × 106
Example
Compare.
7.2 × 106
3.6 × 104
1.05 × 107
3.5 × 105
Example
The speed of light is 3 × 108 meters per second. If Earth is 1.47 × 1011 meters from the
sun, how many seconds does it take light to reach Earth from the sun? Write the answer in
scientific notation.
Homework Questions
Correcting Homework
• Be kind.
• Save questions for the end.
• Pay attention. Be as diligent as you would want someone else to be for you.
• Write “C.B. ____________” with your name.
Homework
• 1st and 2nd hour: Lesson 37 #1-30
• 3rd hour: Lesson 37 #1-15