8.EE.3Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities and to express how many times as much one is than the other.
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8.EE.4Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities
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Conceptual Understanding
Scientific Notation
In the sciences, we often deal with numbers that can differ by many orders of magnitude, that is, by powers of ten. For example, the sun is 148,986,000,000 meters away (on average) from Earth, but the distance across one of the protons that exist in the plasma of the sun is about 0.000000000000001 meters. This is a lot of zeros to keep track of and the difference between those numbers is immense. Scientific notation allows us to express those numbers as 1.489 x 10^11 m and 1 x 10^-15 m, respectively. It makes things a lot easier.
Powers of 10 |
What is the mass of Earth? |
Checklist #1
Converting to Scientific Notation Lesson:
Conversion Practice:
Checklist #3
Code: 907036 |
Checklist #4
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Comparison of Scientific Notation Lesson:
Checklist # 5
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Comparing Scientific Notation Practice:
Checklist #6
Checklist #7
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Checklist #8
Code: 400914 |
Checklist #9
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Adding and Subtracting Scientific Notation
Recall
How to Add and Subtract in Scientific Notation:
There are multiple ways to add and subtract in scientific notation. We can use our calculators which is not always the fastest route because (if you haven't already noticed, numbers in scientific notation have a lot of digits and spaces to keep up with. Another way is to use the distributive property with the product law of exponents. We could also use a common method of conversion of numbers in scientific notation, however, for our unit, we will explore the first two methods listed. If you would like to use the conversion method, visit the additional practice page for instruction on this technique. Now let's look at the calculator and distributive property methods....
Addition and Subtraction using Scientific Notation Practice:
Checklist #12
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Checklist #13
Code: 423471
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Multiplying and Dividing using Scientific Notation:
Scientific Notation Multiplication
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Scientific Notation Division
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Checklist #14
Multiplication and Division in Scientific Notation Practice:
Checklist #15
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Checklist #16
Code: 340259
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Checklist #17
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Unit 3 Summary
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Code : 426323
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