Scientific Notation

a long number that is represented in the exponant of 10 (ex. 363500000 = 810 ) but REMEMBER: the number to the power of ten has to be between 0 and 10 and if it is a decimal, it is one over the notation

It is: 3.24*102

The exponent is an unknown variable. It is a variable because it will change into a known number when we get further into the equation.

Take this for example.

4x=8 - where x is the exponent.

To work out the problem we simply move the 4 over the equal's sign. Since it is 4x, this means that it is 4 times x. Since we are moving the 4 over the equals sign, we have to change the multiplication, into a division.

x=8/4 which equals 2. The x is a 2.

To check, we we substitute the 2 with the x in the equation. 4x2=8, which is correct.

8,000,000,000 in Scientific Notation = 8 x 109

It's probably in base ten because we use base ten for all our OTHER work in numbers as well. We learn to write numbers in base ten when in elementary school, and use base ten throughout our lives even if we aren't scientists or mathematicians or students or professionals who need to use scientific notation. So keeping scientific notation in base ten makes it easier for everyone to learn and read.

One way to write 154,155,500 in scientific notation is 1.541555x108.

4.07 X 1010.

0.00123 in Scientific Notation = 1.23 x 10-3

1580 in Scientific Notation = 1.58 x 103

It is: 1.23*10^6 in scientific notation

It is: 1.9*10^-6 in scientific notation

It is: 1.47*10^-8

It is: 4.73829*10^5

43*10^-4

(43 times 10 to the power of -4)

0.0000475 = 4.75 x 10^-5

1.0245 × 102

2.1 × 103

456,000,000 in Scientific Notation = 4.56 x 108

Scientific notation is a way to signify really long numbers without writing it out in full, all 50 digits. 1,000,000,000 in scientific notation is 1.00 X 109

3.25 x 101

ALSO: 3.25 E1

280 in Scientific Notation = 2.8 x 102

Scientific notations do not care about the range of the number in question but do so about its precision. Therefore the notation for the given number will be -

7.53 X 102

46,500 in scientific notation = 4.650000e+4

41,214 = 4.1214 x 10^4

It is: 2 times 7^4 = 4802