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Scientific Notation

Scientific notation is the expression of a number based on the largest exponent of 10 for its value, where the form is a decimal number A x 10n.

6,389 Questions

What are the steps of the scientific notation in order?

The steps, in order, will depend on what you wish to do: convert from normal to scientific notation, the converse, perform one of the basic operations of arithmetic on numbers in scientific notation.

What are the six rules for converting to scientific notation?

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 to scientific notation:

  1. If the number has no decimal point, then add one at the end.
  2. Then move the decimal point to just after the first non-zero digit while counting the number of places you have moved it.
  3. The mantissa of the new number, formed after moving the decimal point is a.
  4. If the original number is negative, then so is a.
  5. The number of places to the left that the decimal point was moved is b. If it was moved to the right, then b is negative.
  6. There is no sixth rule.

How do you solve a scientific notation division problem?

You turn each scientific notation into decimal numbers and then divide.

For example, 8 times 10 to the 12 power : 2 times 10 to the 10 power.

8000000000000 : 20000000000 = 400. (I did this using long division).

OMG! I just realized that you could remove all the zeros from 80000000000000 that 20000000000 has, so being 800 : 2 which gives you the answer 400.

Two ways. But I still wonder, are there any other ways?

The number 0.923 in scientific notation is?

9.23e-01 or 9.23 x 10^-1

some other examples:

0.0002648 => 2.648 x 10^-4

161800 => 1.618 x 10^5

5 => 5.00 x 10^0

27 => 2.70 x 10^1