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# 4.3A Scientific Notation

Converting numbers to and from Scientific Notation

by

Tweet## Renee Cowger

on 6 October 2012#### Transcript of 4.3A Scientific Notation

photo credit Nasa / Goddard Space Flight Center / Reto Stöckli How Big is the universe?? 4.3A Scientific Notation 6.539 x 10^9 are in a from called Scientific Notation To write a Number in Scientific Notation

1. Move the decimal point in the original number to the first nonsero digit. This will give a number greater than 1 and less than 10.

2. Count the number of places you moved the decimal. If the original number was 10 or greater, the count is positive, if the number was less that 1, the count is negative.

3. Multiply the number obtained in step 1 my 10 raised to the count (power) found in step 2. Move the decimal four places to the left. (1.8500) The number was larger than 10 so the count was positive. Write the answer as 1.85 x 10^4. Example: 18,500

When there is no decimal, it is always at the right side of the number (after the last 0 in this case) Move the decimal five places to the right. (4. 16).

The number was less than 1 so the count is negative. Write the answer as 4.16 x 10^-5 Example 2: 0.0000416. Try on your whiteboards

1. 3,721,000

2. 0.0093 open books to pg. 253 and look over the table. You will need this for #'s 45-51 in your homework. Answers:

1. 3.71 x 10^6

2. 9.3 x 10^-3 Move the decimal three places to the left because the exponent was negative. (0.00628) Write 6.28 x 10^-3 without exponents Write 2.9 x 10^4 without exponents.

Move the decimal 4 places to the right (29,000) because the exponent is positive. Going Backwards 1. 7.95 x 10^8

2. 5.23 x 10^-2 Try these on your Whiteboard 1. 795,000,000

2. 0.0523 Answers on 1/2 sheet of paper

Pg. 257, 1-5 Ticket Out

Full transcript1. Move the decimal point in the original number to the first nonsero digit. This will give a number greater than 1 and less than 10.

2. Count the number of places you moved the decimal. If the original number was 10 or greater, the count is positive, if the number was less that 1, the count is negative.

3. Multiply the number obtained in step 1 my 10 raised to the count (power) found in step 2. Move the decimal four places to the left. (1.8500) The number was larger than 10 so the count was positive. Write the answer as 1.85 x 10^4. Example: 18,500

When there is no decimal, it is always at the right side of the number (after the last 0 in this case) Move the decimal five places to the right. (4. 16).

The number was less than 1 so the count is negative. Write the answer as 4.16 x 10^-5 Example 2: 0.0000416. Try on your whiteboards

1. 3,721,000

2. 0.0093 open books to pg. 253 and look over the table. You will need this for #'s 45-51 in your homework. Answers:

1. 3.71 x 10^6

2. 9.3 x 10^-3 Move the decimal three places to the left because the exponent was negative. (0.00628) Write 6.28 x 10^-3 without exponents Write 2.9 x 10^4 without exponents.

Move the decimal 4 places to the right (29,000) because the exponent is positive. Going Backwards 1. 7.95 x 10^8

2. 5.23 x 10^-2 Try these on your Whiteboard 1. 795,000,000

2. 0.0523 Answers on 1/2 sheet of paper

Pg. 257, 1-5 Ticket Out