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Unit 1 Lesson 9: Scientific Notation

8th Grade Math

In Closing:

Knowing how to write numbers in scientific notation allows us to determine the order of magnitude of a finite decimal.

We now know how to compute with numbers expressed in scientific notation.

Work these out independently

Try these on your own:

Students write, add and subtract numbers in scientific notation and understand what is meant by the term leading digit.

However, only the first is a representation of 234.567 in scientific notation. Ask students to explain why the first representation of 234.567 is the only example of scientific notation.

The finite decimal 234.567 is equal to every one of the following:

2.34567×10 to the 2nd power 0.234567×10 to the 3rd power

23.4567×10 234.567×10 to the zeroth power

234567×10 to the negative 3rd power

234567000×10 to the negative 6th power

Our knowledge of the integer powers of 10 (i.e., Fact 1 and Fact 2 in Lesson 7) will enable us to understand the next concept, scientific notation.

Consider the estimated number of stars in the universe: 6×1022. This is a 23-digit whole number with the leading digit (the leftmost digit) 6 followed by 22 zeroes. When it is written in the form 6×1022, it is said to be expressed in scientific notation.

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