MBF3C
Unit 6, Lesson 3
Warm – up
Simplify the following using exponent laws, then evaluate.
2  2 
2 5
a)
3
 
c) 3  2
b) 4 2  4 4  4 5
22
2
d)
4 5
4 3
Scientific Notation
1. Evaluate the following. What do you notice?
105
103
107
100
10−1
10−2
10−5
10−6
2. Evaluate the following. What do you notice?
23 × 1000
5.69 × 100,000
0.891 × 1,000,000
1245 × 0.0001
6 × 0.001
3. Combine what you learned in #1 and #2 to evaluate the following.
2 × 106
3.4 × 103
5.8 × 10−3
6.789 × 10−6
Scientific notation is a way of writing a very large or very small number. A number in scientific notation is the
product of a number between 1 and 10 and a power of ten.
Examples:
MBF3C
Unit 6, Lesson 3
4. Convert the following from scientific notation to standard notation.
3.56 × 105
2.34 × 10−3
6.8 × 108
1.22 × 10−5
5. 250 is a very big number. Type it on your calculator to see how your calculator shows numbers in scientific
notation. Then try 2−50.
6. Convert the following numbers to scientific notation.
230,000,000
125,000
1255
0.00001
0.00089
125.6 × 105
7. Simplify the following by expressing in scientific notation. Then evaluate. Express your final answer in scientific
notation.
0.00002 × 6,000
0.000004