1. Multiplying and Dividing in Scientific Notation
Teacher Twins©2014

2. Warm Up Write in standard form. 2.301 x 𝟏𝟎 𝟏𝟎 4.5 x 𝟏𝟎 −𝟕
Write in scientific notation.
34,700,000
0.021

3. Warm Up Answers
23,010,000,000
3.47 x 𝟏𝟎 𝟕
2.1 x 𝟏𝟎 −𝟐

4. Multiplying and Dividing in Scientific Notation Foldable

5. Multiplying in Scientific Notation
Dividing in Scientific Notation

6. Put answer in scientific notation.
Inside the Flap - Multiplying in Scientific Notation
Multiply (3 x 105)(5 x 10-12)
Multiply the first factors.
3 x 5 = 15
Multiply the powers of 10.
𝟏𝟎 𝟓 x 𝟏𝟎 −𝟏𝟐 = 𝟏𝟎 −𝟕
Put answer in scientific notation.
15 x 𝟏𝟎 −𝟕 Not in scientific notation.
15 = 1.5 x 𝟏𝟎 𝟏 add the exponents = -6
Answer 1.5 x 𝟏𝟎 −𝟔

7. Divide the first factors. 1.35 ÷ 1.5 = 0.9 Divide the powers of 10.
Inside the Flap - Dividing in Scientific Notation
Divide (1.35 x 107)÷(𝟏.𝟓 x 105)
Divide the first factors.
1.35 ÷ 1.5 = 0.9
Divide the powers of 10.
𝟏𝟎 𝟕 ÷ 𝟏𝟎 𝟓 = 𝟏𝟎 𝟐
Write the answer in scientific notation.
0.9 x 𝟏𝟎 𝟐 Not in scientific notation.
0.9 = 9 x 𝟏𝟎 −𝟏 Add the exponents = 1
Answer 9 x 𝟏𝟎 𝟏

8. Practice
(2 x 103)(3 x 102)
(2 x 103)(3.4 x 10-8)
5.2 x x 107
4.65 x 10−4 3.1 x 102

9. Closure
Explain how to multiply (9.7 x 𝟏𝟎 𝟒 ) (7.5 x 𝟏𝟎 𝟖 ).