The Math of Science Challenge Five
- Due Apr 19, 2024 at 11:59pm
- Points 4
- Questions 2
- Available after Apr 15, 2024 at 12am
- Time Limit None
- Allowed Attempts 5
Instructions
THE MATH OF SCIENCE CHALLENGE FIVE
Multiplying and Dividing numbers in Scientific Notation
NAME___________________________________________ CLASS PERIOD_______
Today we will learn how to multiply and divide numbers in scientific notation. First lets watch this video on multiplying and dividing numbers in scientific notation:
https://www.youtube.com/watch?v=7QTKeEhI0Xw
Example One- Multiplication:
( 7.7 x 103) ( 1.2 x 105)
Step 1: rearrange your equation so the coefficients and the bases are multiplied: 7.7 x 1.2 x 103 x 105 =
Step 2: Multiply the coefficients: 9.24 x 103 x 105 =
Step 3: Add the exponents of the bases: 9.24 x 103+5
Answer: 9.24 x 108
Example Two- Division:
7.43 x 103
3 x 104 =
Step 1: rearrange your equation so the coefficients are a fraction and the bases are a fraction: 7.43/3 x 103/ 104=
Step 2: Divide the coefficients: 2.477 x 103/104=
Step 3: Subtract the denominator exponent from the numerator exponent: 2.477 x 10 3-4 =
ANSWER: 2.477 x 10-1