1. Watch “Powers of 10”

2. Scientific Notation - LARGE Numbers - POSITIVE Exponents
Your pencil has 602,200,000,000,000,000,000,000 carbon atoms. Write this number in scientific notation.
Remember, every whole number has a imaginary decimal point at the end.
602,200,000,000,000,000,000,000 •
+23
6022
x 10 •
1. Find the first non-zero number ...
... and the last non-zero number.
BASE
NUMBER x
POWER OF TEN
2. Write that number underneath.
Put a decimal after the first digit (6).
* This is the BASE NUMBER
Your pencil has
6.022 x 1023
atoms.
4. Multiply the base number by the POWER OF TEN .
Count the number of decimal places from your
NEW decimal point
to your
OLD decimal point.
6. Write that number as an exponent of 10.

3. • 5 x 10-10 m. The radius of an atom is
Scientific Notation - SMALL Numbers - NEGATIVE Exponents
The radius of an atom is about m.
Express in scientific notation. •
–10 5
x 10
It’s negative because the number is really small.
1. Find the first non-zero number ...
Since it’s just a whole number, get rid of the decimal.
... and the last non-zero number.
2. Write that number underneath.
Put a decimal after the first digit (5).
* This is the BASE NUMBER
4. Multiply the base number by the POWER OF TEN
The radius of an atom is
5 x m.
Count the number of decimal places from your
NEW decimal point
to your
OLD decimal point.
6. Write that number as an exponent of 10.

4. .0000003 .0006001 Changing Scientific Notation --> Standard Form
EXAMPLE 2
Writing Numbers in Standard Form
Convert each value from scientific to standard notation
The exponent will tell you how
many spaces to move the decimal.
x 103
0 0 0
Remember, every number has an imaginary decimal point after it.
7000
x 108
Since the exponent is +3 ,move
the decimal 3 spaces to the right. +8 –4 –7
439,800,000 4 7 8
left
6.001 x 10–4
3. Fill the empty place values with zeros.
3 x 10–7