Page 177 - ABCTE Study Guide_Neat

9.999........ not 10. The second part is 10 raised to a power, which can be negative or positive. The two
parts are multiplied together, so that they look like these examples:

5
3.24 x 10
-3
9.7021 x 10
So how does this work?

Convert from Scientific Notation to Convert from Standard Form to

Standard Form Scientific Notation

Convert from Scientific Notation to Standard Form

To write a number given in scientific notation as a number in standard form, you move the decimal point.
The basic numbers of the notation do not change; the decimal moves, and you may need some
placeholder zeroes.

The number of places the decimal moves is equal to the exponent.

For a positive exponent, move the decimal to the right—you are making a big number.

For a negative exponent, move the decimal to the left—you are making a small number (But remember:
−3
3
You are not making a negative number.) Multiplying by 10 is the same as dividing by 10 .
Examples

5
3.24 x 10 = 324,000 (move the decimal 5 places to the right, filling in the 3 extra places with zeroes)

9.7021 x 10 −3 = 0.0097021 (move the decimal 3 places to the left, filling in the 2 extra places with zeroes)

Now it is your turn to practice.

Question

8
Write 7.059 x 10 in standard form.

A 7.05900000

B 705,000,900

C 705,900,000

D 705,900,000,000

!