Square and Cube Roots
53
125
30
1
Write 5,000 in scientific notation
5 x 103
(3 x 104) + (2 x 104)
5 x 104
What do you do with the exponents when multiplying numbers in scientific notation?
Add the exponents.
(2/5)2
4/25
23 x 24
27 or 128
Write 8.2 x 10-3 in standard notation
0.0082
What must be the same before you add or subtract numbers in scientific notation?
The exponents
(2 x 103) x (3 x 102)
6 x 105
-27
5-2
(leave no negative exponents)
1/25
What does the exponent in scientific notation represent?
The number of times the base is multiplied or divided by 10.
(6.5 x 103) - (4.5 x 103)
2.0 x 103
(9 x 108) / (3 x 104)
3 x 104
√225
15
105/102
103 or 1,000
Write 0.00047 in scientific notation
4.7 x 10-4
(1.2 x 105) + (3.4 x 104)
1.54 x 105
(5 x 106) x (2 x 10-2)
1 x 105
3√343
7
(42)3
46 or 4,096
Describe the process for writing a number in scientific notation.
1. Create a number between 1 and 10 by moving the decimal.
2. Count the number of times that you moved the decimal. This will be your power of 10.
3. If the original value was greater than one, the exponent is positive.
4. If the original value was less than one (i.e. a decimal), the exponent will be negative.
(5.6 x 106) - (1.2 x 107)
6.4 x 106
(4.8 x 109) / (8 x 103)
6 x 105