Solution to

The above works for numbers that consist of one "1" and any number of

Frame 5-14.

zeroes, but how about other numbers like 32,700,000,000,000 or

4

0.000000000065?

a. 10

-5

In scientific notation, a number is reduced to a standard form. That form

b. 10

is a number between 1 and 10 (the number can be a decimal such as

3.475) followed by "x 10P " with "P" being the power needed to restore the

In "b," did you remember to

new number to the original number. The number before the "times"

count the "1"? Did you

symbol (x) is sometimes called the "coefficient."

remember to make the

exponent negative?

Remember: scientific notation begins with a positive single digit (1, 2, 3,

4, 5, 6, 7, 8, or 9) which may or may not be followed by a decimal point

and additional digits.

For example: 32,700,000,000,000 can be converted into scientific

notation.

Place a decimal point at the end of the number (following the zero in the

unit's [one's] position.

Move the decimal point so that it falls after the "3" (the first non-zero digit

of the original number starting from the left). Count the number of places

you moved the decimal.

You moved the decimal point 13 places to the left to obtain

3.2700000000000. Therefore, the exponent "P" equals 13.

3.2700000000000 x 10 13 = 32,700,000,000,000 .

The zeros are usually dropped as long as no non-zero digit follows.

32,700,000,000,000 = 3.27 x 10 13. The scientific notation stands for the

product of the following multiplication problem:

3.27 x 10 x 10 x 10 x10 x 10 x 10 x 10 x 10 x10 x 10 x 10 x 10 x 10.

Convert the following numbers to scientific notation.

a. 38,000,000

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b. 40,100

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MD0900

5-9

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