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: · If the number has no decimal point, then add one at the end. · Then move the decimal point to just after the first digit while counting the number of places you have moved it. · The mantissa of the new number, formed after moving the decimal point is a. · If the original number is negative, then so is a. · The number of places to the left that the decimal point was moved is b. If it was moved to the right, then bis negative. For example: 23045.06 becomes 2.304506*10^4 -23045.06 becomes -2.304506*10^4 0.00023004 becomes 2.3004*10^-4 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

It is: 8.9*10^3

It is: 2.5*10^-7

It is: 7.6*109

In standard form we write this number as: 6.4 * 10-6.

1.71 × 10-6

or

1.71E-6

1,342 = 1.342 × 103

0.00015 is 1.5 x 10^-4

4.0*106

0.000008 ?

8 x 10^-6

0000003 in Scientific Notation = 3E-06 x 106

There's nothing to change here. There is no advantage or reason to write 8.2576 in scientific notation. Technically, however, it could be written as 8.2576 × 100, but this is not normally done.

It is: 7.5*10^-12

9.234 x 10-4

5.403*107

Usually number over .01 and under 1,000 are not written in scientific notation, however .85 would be written as 8.5 x 10-1.

4.35 x 10 to the eighth power

Because this system is very convenient to deal with very small, or very large, numbers.

The answer depends on what operation you wish to perform. Since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.

In the same way as any body else because of the vast distances in space it is more realistic to write out numbers in scientific notation which uses less digits but has the same value of very very large numbers as for example 1,000,000,000,000,000 is

1.0*10^15 in scientific notation.

It is 7.35*10^-4.

It is: 8.23*10^5 in scientific notation

It is 5.4 x 10^4

It is: 5.7*10^11 in scientific notation

Note: the actual precision of the number is ambiguous. Depending on how many zeros in the original number are significant digits, the scientific notation could range anywhere from

5.7 x 10^11

to

5.70000000000 x 10^11