How do you convert a number from standard to scientific notation?

Answer 1

Lets take the number, say .0000098743, for example.

Scientific notation is a number in the form of one digit before the decimal place, multiplied by a factor of 10.

So first off, move the decimal so that there is one digit in front of it (1-9), like so:

9.8743

Then, count how many places you moved the decimal.

In this case, it was 6.

So, you have to multiply the number by 10-6

So this number in scientific notation would be:

9.8743 × 10-6

This is also sometimes written (how most calculators display it):

9.8743e-6

If you have a large number, say like

345,938,200,000,000,000,000

you do the same thing.

So this would become:

3.459382e20 or 3.459382 × 1020

Answer 2

If the exponent is negative, move the decimal point that number of places to the left otherwise that number to the right eg: 1.23456789 x 10 to the minus 3 becomes

0.00123456789 whereas 1.23456789 x 10 to the fourth becomes 12345.6789

Answer 3

First, you must go home and pet your dog. Then, bike to the grocery store. You must ask the clerk for a calculator. He will then ask "what is the code word?" You must then reply "Jeremy sent me". Then, he will take you to a back room. He bring you the worlds most powerful calculator in the world and a small dog. You will first pet the dog just as you pet your own. Then, you tell it the number in standard form. It will proceed to the side of the room where it will dedicate in the shape of the number in scientific notation. You must then tip the clerk 5 dollars for his services. You will take off one wheel of your bicycle to your dog and carry the bike home. He will play out the same actions as the previous dog that was quantum entangled to your own through the petting action.

Answer 4

Scientific notation is a way of representing numbers, usually very large or very small, in the form a*10^b where 1 ≤ |a| < 10 is a decimal number and b is an integer (negative or positive). a is called the mantissa and b is called the exponent. To convert a number in scientific notation to normal form:
· If b is positive, move the decimal point b places to the right in the number a – adding 0s at the end of the number, if required. · If b is negative, move the decimal point b places to the left in the number a – adding 0s immediately after the decimal point, if required. · The final expression has the same sign (+ or -) as a in the scientific form. For example: 4.56*10^5 = 456000. -4.56*10^5 = -456000. 4.56*10^-5 = 0.0000456