**Have you ever noticed that 450 could be written**
**as 45 x 10 or that 450 could be written as 4.5 x 100**
**(check this with your calculator) What could 5,6784**
**be written as answers**

Could 4.5 x 100 in the above example be written
**as 4.5 x 10 ^{2}? Use your calculator to check the answer.**

4500 = 4.5 x 10^{3}

45000 = 4.5 x 10^{4}

4500000 = 4.5 x 10^{6}

The three above problems are in scientific notation

**The distance from the earth to the sun is approximately**
**93,000,000 miles. This number could be written**
**as 9.3 x 10,000,000.
It could also be written**
**as 9.3 x 10 ^{7}. In this form it is called Scientific
Notation.**

is 1 digit (never would this digit be zero) to the left of

the decimal point and the resulting number is multiplied

by a power of ten expressed by using 10 and an

many places have we moved the decimal point to

change from 93,000,000 to scientific notation and

**Try these examples -**
** change
47,000 to scientific notation**
** change
506,000 to scientific notation**
** change
3.546 x 10 ^{6} back from scientific numbers answer**

**Using scientific notation with decimal numbers.**
**0.0000067 written in scientific notation is 6.7 x 10 ^{-6}**

Count the number of places we have moved the

decimal point and notice that we are using a

negative exponent. The negative exponent tells

us that we moved the decimal point to the right.

**Try these examples - write in scientific notation**

1) 0.000543
**
2) 0.0000000078 answer**
** **

**Try the reverse process**
**
1) 2.43 x 10 ^{-4}**