To Divide:• Divide the Coefficients (numbers in the front)• Subtract the exponents
n x 10a m x 10b = n
m 10ab
Aim 12: Scientific Notation (Day 2)
(5 x 104)3Do Now:
Example 1: 8 x 107 4 x 104
Example 2: 6.2 x 104 3.1 x 103
Example 3: 3.66 x 10-5
2.0 x 10-3
Example 4: (8.2 x 106)(5.0 x 10-2)200
Example 5: 3 x 105
4 x 10-2
Example 6: 1.2 x 108
0.2 x 103
Quick Review: How many times larger is 20 than 5?
Earth is about 1.5 x 108 kilometers from the Sun, while the planet Neptune is almost 4.5 x 1010 kilometers from the Sun. About how many times farther from the Sun is Neptune than Earth?
Example 7
Example 8The length of a city block running north to south in New York City is about 0.05 miles. The distance from New York City to Mumbai, India is about 7,500 miles. About how many times greater is the distance from New York City to Mumbai than the length of a New York City block.
Last year a business earned 8 x 106 dollars in income. This year the business earned 4 x 108 dollars in income. Which best describes how this year's earnings compare to last year?
a) This year the business earned about 0.5 times as much as it did last year. b) This year the business earned about 2 times as much as it did last year. c) This year the business earned about 50 times as much as it did last year. d) This year the business earned about 100 times as much as it did last year.
Example 9
11. How would you change the number 4.7 × 106 to 4.7 × 102?
a) Divide by 10,000. b) Multiply by 1,000. c) Multiply by 10,000. d) Divide by 1,000.
12. How would you change the number 5 × 104 to 0.005?
a) Divide by 10. b) Multiply by 10. c) Multiply by 100. d) Divide by 100.
10. How would you change the number 8.346 × 105 to 8.346 × 102?
a) Divide by 10,000. b) Multiply by 1,000. c) Multiply by 10,000. d) Divide by 1,000.