1. SCIENTIFIC NOTATION

2. Scientific Notation:
coefficient
power
M. x 10n

3. 3.254 x 103 Scientific Notation:
coefficient
Power
3.254 x 103
Consists of a number with only ONE DIGIT to the LEFT of the decimal times some power of 10.

4. Changing from Scientific Notation to Standard Numeral
1. If the exponent is (+): Move the decimal to the right!
Examples:
1.5 x = = 1500

5. Changing from Scientific Notation to Standard Numeral
2. If the exponent is (-): Move the decimal to the left.
Examples:
2.63 x = =

6. Standard Numeral to Scientific Notation:
1. Whole numbers will have:
Positive power of 10
move decimal to left
Examples:
8500 = = 8.5 x 103

7. Standard Numeral to Scientific Notation:
2. Decimal Numbers will have:
negative power of 10
move decimal to right
Examples:
0.789 = = 7.89 x 10-1

8. MATHEMATICAL CALCULATIONS USING SCIENTIFIC NOTATION

9. MULTIPLICATION (1.5 x 103) ( 2.0 X 105) = 3.0 x 108
A. Multiply base numbers
B. Add exponents of 10
Example:
(1.5 x 103) ( 2.0 X 105) = 3.0 x 108

10. DIVISION A. Divide base numbers B. Subtract exponents of 10
(numerator - denominator)
numerator
4.0 x 102
= 2.0 x 10-2
2.0 x 104
denominator

11. ADDITION AND SUBTRACTION
*Exponents must be the SAME!
(6.5 x 102) + (2.0 x 103) + (30.0 x 103)
(0.65 x 103) + (2.0 x 103) + (30.0 x 103)
32.65 x = x 104

12. Every answer should be written in correct scientific notation!!
632 x = x 104
.0754 x 103 = x 101
*Move decimal RIGHT = MORE NEGATIVE
*Move decimal LEFT = MORE POSITIVE
*ALL DIGITS IN THE COEFFICIENT ARE
SIGNIFICANT