Can someone teach me how to change a scientific notation to a scientific notation?

Question

I don't get how it works!

Answer 1

just count decimal places for numbers less than 1.
example
0.001 is 1x10^-3

and count spaces to the left for numbers greater than 1
example
1000 is 1x10^3

Answer 2

Scientific notation looks tricky but it really isn't once you understand. It is actually a way to make math and calculations a lot simpler or less confusing to look at.

If you were given a value of, let's say, 563000, the scientific notation would be 5.63 x 10^5. Let's look at why it is 10^5. When figuring out the scientific notation, all you are doing is moving the decimal point around. The decimal point is after the last zero in the value 563000. The form for scientific notation has only 1 number before the decimal point, following by whatever digits (other than 0) are left. This means that you will move the decimal point to between the 5 and the 6. In order to do that, we must move the decimal point 5 times to the left. Because we are doing this, the value will become 5.63 x 10 to the 5th power.
Now, if you were moving the decimal to the left, your answer will have a positive exponent for the 10. if you moved to the right it would have a negative exponent, as in the next case:
.000254 = 2.54 x 10^-4.
If you think about this logically, it will be easier to remember whether your exponent is positive or negative. If your exponent is positive, the 10 will be raised to a bigger number, and will become larger. If you are multiplying a larger number by the other value (as in 5.63, you will get a number larger than 5.63)
If you are raising the 10 to a negative number, you will get a number smaller than 10. If you multiply this small number by the other value (2.54) you will get a number less than 2.54.

For converting numbers in scientific notation back to regular ones, just do the reverse.
3.4 x 10^3 will become 3400
6.2 x 10^-4 will become 0.00062

Hope this helps. Really, a little practice and this will become second nature.

Answer 3

Just do nothing. If you have something expressed in scientific notation, don't change anything, else it will no longer be in scientific notation.

Answer 4

Just depends on where you want the decimal point to be. For example...

3.14159 x 10^0
= .314159 x 10^1
= 31.4159 x 10^-1

so if you have a large number like 1000000 you can write it as 1 x 10^6. Hope that helps. Best explanation I can dream up.

Answer 5

eg. 3,400 = 3.4 X 10³
Notice where the decimal place in 3,400. After you change the decimal place, you want to X10 to the amount of decimal places you move it.
If you are moving it backwards, you must use a negative.
eg. .034 = 3.4 X 10-²
Because you are taking the amount of decimal places and replacing them to give a more consolidated answer so that you can take 340,000,000,000 (the numbers that are often used in chemistry) and simply say 3.4 X 10^11