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3-4 Operating With Scientific Notation
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3-4 Operating
With Scientific Notation
Bell work!
Write each number in scientific notation.
1. 13,000
1.3x104
2. 2,091,000
2.091x106
3. 0.001080090
1.08009x10-3
3-4 Operating With Scientific Notation
Today’s learning
Target:
I can multiply and divide numbers written in
scientific notation.
3-4 Operating
With Scientific
Notation
Do division
with me:
Show the steps:
(5.97  1024) ÷ (1.3  1022)
5.97
1.3
1024
1022
1) Write them as ratio, or fraction
5.97
1.3
1024
1022
2) Separate the coeffients from the powers
102
3) Use your calculator to divide 5.97 by 1.3.
Then, divide the powers (hint: bases stay
the same, subtract the exponents.)
4.6
3-4 Operating
Scientific
Notation
Do moreWith
division
with
me:
Show the steps:
(4.2  105 ) ÷ (2.1  104)
4.2
2.1
105
104
1) Write them as ratio, or fraction
4.2
2.1
105
104
2) Separate the coefficients from the powers
= 2.0
101
3) Use your calculator to divide 4.2 by 2.1,
then divide the powers. (Hint: bases stay the
same, subtract the exponents.)
3-4 Operating
You try With
one:Scientific Notation
Show the steps:
(5.69  1026 )÷ (5.97  1024)
5.69
5.97
1026
1024
1) Write the ratio.
5.69
5.97
1026
1024
2) Divide the coefficients and divide the
powers. Subtract exponents.
0.9531
102
Not in proper scientific notation!
9.531
101
3) Write the result in scientific notation.
3-4 Operating
With Scientific
Notation
Do another
with me:
4.87 1024
66
4.87 1024
66
1) Write the ratio.
4.87
66
2) Divide the coefficients and divide the
powers.
1024
0.0738
1024
kg
Not in scientific notation!
7.4
1022 kg
3) Write the result in scientific notation.
3-4 Operating
With Scientific
Notation
Try multiplication
with
me:
Show the steps:
(3.45 x 1013 )(8.53 x 109 )
(3.45 x 1013 )(8.53 x 109 )
= (3.45 x 8.53)(1013
coefficients
=
2) Separate the coefficients from
x 109 ) the powers
powers
(29.429)(1013+9
)
= 29.429 x 1022
Not in proper scientific notation!
= 2.9429 x 1023
1) Write the problem.
3) multiply the coefficients and
the powers. Remember to add
the exponents.
4) Write the result in scientific
notation.
3-4 Operating
Try one: With Scientific Notation
Show the steps:
(4.52 x 10-9)(5.78 x 109 )
(4.52 x 10-9 )(5.78 x 109 )
= (4.52 x 5.78)(10-9
coefficients
=
Not in scientific notation!
= 2.61256 x 101
2) Separate the coefficients from
x 109 ) the powers
powers
(26.1256)(10-9+9
= 26.1256 x 100
1) Write the problem.
)
3) multiply the coefficients and
the powers. Remember to add
the exponents.
4) Write the result in scientific
notation.
3-4 Operating
With Scientific
Notation
Do another
with me:
Show the steps:
(1.5 x 10-5 )(6.1 x 1012 )
(1.5 x 10-5 )(6.1 x 1012 )
1) Write the problem.
= (1.5 x 6.1)(10-5 x 1012 )
2) Separate the numbers from
the powers
=
(9.15)(10-5+12
= 9.15 x 107
)
3) multiply the coefficients and
the powers. Remember to add
the exponents.
4) Write the result in scientific
notation.
3-4 Operating
With
Scientific
Did you master
today’s
learningNotation
target?
Prove it with a two
question quiz.
Quick Quiz With Scientific Notation
3-4 Operating
1. Perform the indicated operation. Write your answer in
scientific notation.
(8.3 x 1022)
(4.3 x 1018)
A. 1.93
B. 0.193  104
C. 1.93  104
D. 1.93  1040
2. Perform the indicated operation. Write your answer in
scientific notation.
(8.3 x 1022)
(4.3 x 1018)
A. 1.26  104
B. 3.569  1040
C. 3.569  104
D. 3.569  1041
3-4 Operating
AssignmentWith Scientific Notation
Lesson 3.4A
Page 107,
Problems 7-10, 13-16, 19
Do your assignment before you do anything else!