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Today’s lesson . . .
What: Scientific Notation
Why: To convert between numbers written in scientific notation and numbers written in standard form.
We use scientific notation to write very ___________________ or very __________________ numbers.Scientific notation is a # written as a____________________________________ sentence. • The leading factor MUST be a number greater than or equal to 1, but less than _____________.• The second factor must be a _________________ of 10.
What is it?
LARGE smallmultiplication
ten (10)power
Example: 2.5 x 105
1. 5 9 , 0 0 0 , 0 0 02. 1 4 0 , 0 0 0 , 0 0 0 , 0 0 03. 9 , 5 0 04. 2 , 5 2 0 , 0 0 0 , 0 0 0
From Standard form to scientific notation:
Place Decimal AFTER first digit!
Count digits to right of decimal point!
= 5.9 x 107
Place Decimal AFTER first digit!
Count digits to right of decimal point!
= 1.4 x 1011
Place Decimal AFTER first digit!
Count digits to right of decimal point!
= 9.5 x 103
Place Decimal AFTER first digit!
Count digits to right of decimal point!
= 2.52 x 109
From scientific notation to standard form:
5. 6.32 x 109 6. 3.4 x 105
7. 6 x 104 8. 2.08 x 107
Count digits to right of decimal point!
How many more do we need to equal exponent #??
That’s the # of zeros we need!!
= 6,320,000,000
Count digits to right of decimal point!
How many more do we need to equal exponent #??
That’s the # of zeros we need!!
= 340,000
Count digits to right of decimal point!
How many more do we need to equal exponent #??
That’s the # of zeros we need!!
= 60,000
Count digits to right of decimal point!
How many more do we need to equal exponent #??
That’s the # of zeros we need!!
= 20,800,000
Comparing numbers in scientific notation:9.Order the following from least to great:2.5 x 10 7 9.4 x 10 4 3.9 x 10 63.9
8.5 x 10 4 2.6 x 10 8 1.9 x 10 73.9 10. Order the following from greatest to least:
PAIR/CHECK/SWITCHDATE: ______/_______/_______NAME:__________________________
Scientific notationFORM “A”
# Scientific Notation Standard Form Check
1. 8.05 x 107
_____
2. 24,500_____
3. 3.28 x 109
_____
4. 87,050,000_____
5. 7.25 x 105
_____
6. 9,100,000,000_____
7. 1.9 x 1010
_____
8. 225,000,000_____
9. 9 x 104
_____
10. 54,000,000,000,000_____
PAIR/CHECK/SWITCHDATE: ______/_______/_______NAME:__________________________
Scientific notationFORM “B”
# Scientific Notation Standard Form Check
1. 2.15 x 107
_____
2. 88,000_____
3. 9.1 x 108
_____
4. 92,080,000_____
5. 5.09 x 106
_____
6. 3,300,000_____
7. 1.5 x 1010
_____
8. 199,000,000,000_____
9. 2 x 105
_____
10. 6,040,000,000,000_____
We use scientific notation to write very ____________________________ or very _________________________ numbers.Scientific notation is a number written as a _________________________________sentence.
• The leading factor MUST be a number greater than or equal to 1, but less than ________________.• The second factor must be a ________________________ of 10.
Example: 2.5 x 105
Math-7 NOTES DATE: ______/_______/_______What: Scientific NotationWhy: To convert between #’s written in scientific notation and #’s written in standard form.
NAME:
What is it?
1. 5 9 , 0 0 0 , 0 0 02. 1 4 0 , 0 0 0 , 0 0 0 , 0 0 03. 9 , 5 0 04. 2 , 5 2 0 , 0 0 0 , 0 0 0
From Standard form to scientific notation:
Comparing numbers in scientific notation:
9. Order the following from least to great:
From scientific notation to standard form:
5. 6.32 x 109 6. 3.4 x 105
7. 6 x 104 8. 2.08 x 107
10. Order the following from greatest to least:
2.5 x 10 7 9.4 x 10 4 3.9 x 10 63.9
8.5 x 10 4 2.6 x 10 8 1.9 x 10 73.9
PRACTICE IT
DATE: ______/_______/____________NAME:__________________________________________________________________________“Scientific notation”
(turn over)
PRACTICE IT
DATE: ______/_______/____________NAME:__________________________________________________________________________“Scientific notation”
# Scientific Notation Standard Form
1. 2.2 x 103
2. 6,200,000
3. 9.351 x 106
4. 32,050,000
5. 4.5 x 109
6. 425,000,000,000
7. 7 x 105
8. 999,000
9. 2.006 x 1011
10. 4,040,000,000
