Warm up: p. 185
# 69 ­ 74
Nov 15­11:57 AM
OBJECTIVES:
• express numbers in standard form and in scientific notation
• compare and order numbers written in scientific notation
Section 4­8
_______________
scientific notation ­­ 5.0 X 106
standard notation ­­ 5,000,000
Nov 15­11:59 AM
1
Example 1: Express each number in standard notation.
a. 3.78 X 106 = ***move the decimal point 6 places to the right
b. 5.1 X 10­5 = ***move the decimal point 5 places to the left
Nov 15­12:02 PM
.
4
Write 4.58 X 10 using standard notation.
­2
Write 3.4 X 10 using standard notation.
Nov 15­12:21 PM
2
Example 2: Express each number in scientific notation.
***move the decimal point so that only one number is left of the decimal point, then count the places you moved to determine the exponent.
a. 60,000,000 = ____ X 10
b. 32,800 = _____ X 10
c. 0.0049 = ______ X 10
Nov 15­12:05 PM
Example 3: Order the numbers from least to greatest.
5.80 X 107
1.43 X 109
7.78 X 108
2.28 X 108
Step 1: Order the numbers by exponents
Step 2: Compare the numbers with the same exponents
Step 3: Insert < signs
Nov 15­12:10 PM
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Guided Practice:
1. Write a number in standard notation and then write the number in scientific notation.
Express in standard notation.
2. 3.08 X 10­4
3. 1.4 X 102
4. 5.495 X 105
Nov 15­12:14 PM
Write using scientific notation.
5. 139, 000 =
0.0307 =
0.2004 = Nov 15­12:16 PM
4
Write using scientific notation.
4
12,450 = 1.2450 X 10 0.2362 = 2.362 X 10 ­1
0.00236 =
3200 =
Nov 15­12:22 PM
Write using standard notation.
3
1.25 X 10 =
5
7 X 10 =
­3
4.8 X 10 =
­4
1.8 X 10 =
Nov 15­12:21 PM
5
Do you have any Vocab questions?
OBJECTIVES:
HOMEWORK:
p. 189­190
# 12­33, 35­38, 51, 52
*** Quiz next time over 4­5 to 4­8***
Nov 15­12:28 PM
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