1. And how they make life easier!
Exponents
And how they make life easier!

2. Exponents Exponents are used to write numbers in scientific notation.
Exponents are powers of ten.
10 x 10 = 102 = 100
Exponents make math easier.
You only work with small numbers.
Exponents only show significant figures.

3. Exponents Some numbers are too long to write.or
6.02 x 1023
The exponent tells you how many places the decimal point moved from when the number was written as a decimal or whole number.

4. Exponents
10-4 =
10-3 = 0.001
10-2 = 0.01
10-1 = 0.1
100 = 1
101 = 10
102 = 100
103 = 1000
104 =

5. Exponents
When you write numbers in scientific notation, the number has two parts.
The first part is the mantissa.
The mantissa is a number > or = 1 and <10.
1.00 or or 5.67
The second part is the 10 and its exponent.
104 or 10-3 or 1034
Write the following in scientific notation

6. Exponents
347
043.82
72800
72800.
0.0005
3.47 x 102
4.382 x 101
7.28 x 104
x 104
5 x 10-4
6.0 x 10-4
Doing math with numbers written in scientific notation is a breeze!

7. Exponents
When multiplying numbers written in scientific notation, multiply the mantissas then add the exponents. You may need to adjust the final result so you have a correct mantissa.
(6.0 x 102) (7.0 x 103) = 42 x 105 = 4.2 x 106
When dividing, you follow the same steps but subtract the exponents.
(6.0 x 102)/(3.0 x 103) = 2.0 x 10-1
{600 divided by 3000 = 0.2 or 2.0 x 10-1}

8. Exponents
When adding or subtracting numbers written in scientific notation, the exponents must agree.
(6.0 x 102) + (7.0 x 103) =
(0.6 x 103) + (7.0 x 103) =
7.6 x 103
{ = 7600 or 7.6 x 103}

9. Exponents Try these calculations
(7.23 x 10-2) x ( x 102) =
4.69 x 101
(5.21 x 103) + (7.8 x 102) =
6.0 x 103
(4.557 x 10-1) / (6.22 x 101) =
7.33 x 10-3
(8.10 x 104) – (9.02 x 10-4) =
8.10 x 104