Scientific Notation

1.1 x 10^0 (That's ten to the zero power). Any nonzero real number, raised to the zero power equals 1.

6,500 = 6.5e+3

1.90000 * 102. The trailing 0s should only be used if the degree of precision merit their presence. Otherwise, 1.9 * 102

8.5x10^5

0.85x10^6

Either one will work as scientific notation.

Scientific notation is usually used to represent large numbers. For example - the number 123,400,000,000,000,000 can be represented in scientific notation as 1.234 x 1017. It's commonly used in astronomy when referring to the vast distances between stars etc.

45,671,234,142 in Scientific Notation = 4.5671234142 x 1010

Note that the number is same as 800,000,000.0. Therefore, move 8 decimal places left from the starting point, and 800,000,000 in Scientific Notation is 8 x 108.

9.72 x 10-5

You put the decimal behind the first digit. Then count the number of places the decimal moved from its original position. This number becomes the exponent of the 10. If you move the decimal to the left, it is a positive number for the exponent. To the right, it is a negative exponent.

62,540,000,000,000

458,000,000 in Scientific Notation = 4.58 x 108

7358 in Scientific Notation = 7.358 x 103

654,000,000 in Scientific Notation = 6.54 x 108

8.74x10 to the 8th

this means the 10 has a small 8 to the right of it. I just can't make that on the computer.

56.2 in Scientific Notation = 5.62 x 101

3900 in Scientific Notation = 3.9 x 103

17,000,000,000 in Scientific Notation = 1.7 x 1010

Scientific notation produces convenient numbers when working with

very small or very large quantities.

Scientific notation is a very convenient way to write large and small numbers and avoids having to write down so many zeros. It makes multiplying and dividing a lot easier.

For example, say you want to multiply 1000000 by 0.00001

That is 1 x 10^6 x 1 X 10^-5 and you addd the exponents of the 10 to get 10^1 = 1

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

102.4 = 1.024*102 and the reason is that the two numbers are equivalent.

36.25 in Scientific Notation = 3.625 x 101

1,000 = 1.0 × 103

458,000,000 in Scientific Notation = 4.58e+8

525,600 in Scientific Notation = 5.256 x 105