Scientific Notation Review
Presentation
•
Mathematics
•
8th Grade
•
Medium
Standards-aligned
Kevvin Hankins
Used 7+ times
FREE Resource
28 Slides • 10 Questions
1
by Kevvin Hankins
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3
4
Stacking uneven blocks makes bad things happen.
Just like stacking building blocks that are the same size... When adding or subtracting in scientific notation, the exponents must be the same. Fortunately you can adjust a number to make the exponents the same.
5
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The operation! Addition.
So the exponents must be the same.
Since '5' is the smallest exponent we will change it, by adding 3 to it. This will make it like the other exponent. But...
Because we add 3 to the exponent we must move the decimal three times. Remember the "see-saw effect" ?
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8
When one side gets 'bigger', the other must get 'smaller'.
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Remembering "Seesaw"...
when you add 3 to the exponent (bigger)
then you must move the decimal 3 times to the left (smaller).
Add the lead numbers (7 + .008),
keep the base and exponent (108)
That's it! Subtraction is the same except you Subtract the lead numbers.
11
12
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Multiple Choice
(2.0×105) + (2.0×104) =?
4.0 × 102
2.0 ×101
2.2×104
2.2×105
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Multiple Choice
(8 x 104) - (2 x 104)
16 x 1016
16 x 108
6 x 108
6 x 104
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20
Multiple Choice
4×1048×104
12×104
2×204
2×100
2×108
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Multiple Choice
(2 x 109)(4 x 104)
8 x 1013
8 x 1035
8 x 105
6 x 1013
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Multiple Select
You need three things for a number to be in proper scientific notation. Must name all three, but do not answer more than three.
Which three are they???
must be in base 10
the number left of the decimal must be between 1 and 9 (including 1&9)
must have a ninja one
must have an exponent
the number left of the decimal must be negative
25
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28
Stacking uneven blocks makes bad things happen.
Just like stacking building blocks that are the same size... When adding or subtracting in scientific notation, the exponents must be the same. Fortunately you can adjust a number to make the exponents the same.
29
The operation! Addition.
So the exponents must be the same.
Since '5' is the smallest exponent we will change it, by adding 3 to it. This will make it like the other exponent. But...
Because we add 3 to the exponent we must move the decimal three times. Remember the "see-saw effect" ?
30
When one side gets 'bigger', the other must get 'smaller'.
31
Remembering "Seesaw"...
when you add 3 to the exponent (bigger)
then you must move the decimal 3 times to the left (smaller).
Add the lead numbers (7 + .008),
keep the base and exponent (108)
That's it! Subtraction is the same except you Subtract the lead numbers.
32
33
34
Multiple Choice
(2.0×105) + (2.0×104) =?
4.0 × 102
2.0 ×101
2.2×104
2.2×105
35
Multiple Choice
(8 x 104) - (2 x 104)
16 x 1016
16 x 108
6 x 108
6 x 104
36
Multiple Choice
4×1048×104
12×104
2×204
2×100
2×108
37
Multiple Choice
(2 x 109)(4 x 104)
8 x 1013
8 x 1035
8 x 105
6 x 1013
38
Multiple Select
You need three things for a number to be in proper scientific notation. Must name all three, but do not answer more than three.
Which three are they???
must be in base 10
the number left of the decimal must be between 1 and 9 (including 1&9)
must have a ninja one
must have an exponent
the number left of the decimal must be negative
by Kevvin Hankins
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