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Chapter 4.6 - Scientific Notation
Scientific notation is the way scientists handle very large numbers or very small numbers. Be sure to know the vocabulary.
We know when we multiply by 100 we just move the decimal two places to the right. When we divide by 1,000 we just move the decimal 3 places to the left.
Scientists use the power of 10 to make big and small numbers easier to work with.
Here is an example of a big number and a small number written with scientific notation.
Here are a few examples of big and small numbers written in scientific notation.
Often times "expanded form" will be referred to as "standard form".
Convert between standard and scientific notation (8th Grade)
Lesson #1 Video Assignment
When comparing numbers written in scientific notation...
First, compare the powers of 10... the greater the exponent, the greater the number.
If the exponents are the same...
Compare the decimals...the greater the decimal, the greater the number.
If one number is standard form and one number is not, convert the number so both numbers are in scientific notation and compare using our rules.
Compare numbers written in scientific notation
Lesson #2 Video Assignment
You can mulitply and divide numbers in scientific notation form.
Sometimes after multiplying numbers in scientific notation the answer is no longer in scientific notation so an adjustment has to me made.
If one or both numbers are negative...
Just use the same rules for mulpilying exponents with the same base.
Multiply numbers written in scientific notation
Lesson #3 Video Assignment
You can divide numbers in scientific notation as well.
Step 1 - Divide the numbers.
Step 2 - Divide the powers of 10. (Just subtract the exponents.)
Remember, sometimes after dividing numbers in scientific notation the answer is no longer in scientific notation so you may need to make an adjustment.
Divide numbers written in scientific notation
Lesson #4 Video Assignment
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