Scientific Notation
Review: 105 = 104 = 103 = 102 = 101 = 100 = 10­1 =
10­2 = 1
Copy and complete the chart on page 215 with your partner. Answer questions 2 and 3.
2
Def: A number in scientific notation is written as the product of two factors, one between 1 and 10 and the other a power of 10.
Scientific Notation lets you know the size of a number without having to count the digits. For example, if the exponent of 10 is 6, you know the number is in the millions. If the exponent is 9, you know the number is in the ___________________.
3
Write 4,200,000 in scientific notation:
You try: Check for Understanding Ex. 1 54,500,000
723,000
602,000,000,000,000
4
Use negative exponents to write a number between 0 and 1 in scientific notation.
0.000079
You try: Check for Understanding Ex. 2
0.00021
0.00000005
0.0000000000803
5
Write numbers in standard notation:
8.9 x 10 5
2.71 x 10­6
You try: Check for Understanding Ex. 3
1)
2)
3) 6
Changing to Scientific Notation:
0.37 x 1010
453.1 x 108
Check for understanding Ex. 4
7
Comparing and Ordering Numbers
1) Write in scientific notation
2) Order the powers of 10
3) Order the decimals with the same powers of 10
Ex. 0.064 x 108; 312 x 102; 0.58 x 107
8
Multiplying with Scientific Notation: Use the rule for multiplying powers with the same base.
(3 x 10­7) (9 x 103) =
You try: Check Understanding Ex. 6
9