Move the decimal until the resulting number is greater than 1 and less than 10. The number of places the decimal moves is the exponent of 10 in scientific notation.
B
Move the decimal until the resulting number is greater than 1 and less than 10. The number of places the decimal moves is the exponent of 10 in scientific notation.
A
3.7* 10^8
B
7.6* 10^3
Practice makes perfect
A number written in scientific notation usually expresses a very large or very small number by writing its value as the product of the number's first nonzero digit and 10 to some power. Let's look at some examples.
Standard Notation
Scientific Notation
5 0 000 000 000
5 * 10^(10)
5 00 000
5 * 10^5
5 0
5 * 10^1
5
5 * 10^0
0.5
5 * 10^(- 1)
0.00005
5 * 10^(- 5)
0.0000000005
5 * 10^(- 10)
To change from standard form to scientific notation, we need to move the decimal until the resulting number is greater than 1 and less than 10. The number of places the decimal moves is the exponent of 10. Let's take a look at the given number.
3 70 000 000
This number is greater than 10, so the decimal point will move to the left. There are eight places after the first digit, so this is the power of 10.
This means that the scientific notation of 370 000 000 is 3.7 * 10^8.
Standard Form:& 370 000 000 Scientific Notation:& 3.7 * 10^8
Let's consider the given number.
7 600
This number is greater than 10, so the decimal point will move to the left. There are three places after the first digit, so this is the power of 10.
This means that the scientific notation of 7600 is 7.6 * 10^3.
Standard Form:& 7600 Scientific Notation:& 7.6* 10^3
