Scientific Notation Created by Patrick Haney. Scientific Notation (S.N.) is a way to look at numbers that are very large in magnitude or very small in.

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Scientific Notation Created by Patrick Haney

Scientific Notation (S.N.) is a way to look at numbers that are very large in magnitude or very small in magnitude = 2.57 × = 1.25 ×

When you see a number in scientific notation, it is NOT an equation. It is an alternative way to write a number. There are two things that are always true of a number written in scientific notation: 1. There is always one non-zero number in front of the decimal when a number is written in S.N. 2. The number is always multiplied by 10 b, where b is an integer.

Understanding what we mean: 1. There is always one non-zero number in front of the decimal when a number is written in S.N. Which numbers below are correctly written in scientific notation? 3.5 × × × × × × 10 10

Understanding what we mean: 2. The number is always multiplied by 10 b, where b is an integer. 1.5 × × × × × × Which numbers below are correctly written in scientific notation?

Circle the numbers that are correctly written in scientific notation and place an X over the numbers that are not.

Understanding when to use positive or negative exponents: Which number written in scientific notation correctly represents the number below? 2.18 × × OR × × OR

Which number written in scientific notation correctly represents the number below? × × OR × × OR × × OR

Which number written in scientific notation correctly represents the number below? × × OR × × OR × × OR

Describe what a positive and negative exponent means: A positive exponent means that the number is very large in magnitude. A negative exponent means that the number is very small in magnitude. Example: Example: Understanding this simple concept will keep you from having to memorize whether the decimal should move to the left or the right!

For each of the numbers on your notes, select the correct representation written in scientific notation.

Which number below is the same as the number written in scientific notation? 1.26 × OR 2.05 × OR 5.61 × OR

Which number below is the same as the number written in scientific notation? 7.35 × OR 8.05 × OR 1.3 × OR

Putting a number into scientific notation: Count the number of times the decimal moves. Because the number below is of a large magnitude, the exponent will be ___________. positive In scientific notation this number is 2.8 × 10 9

Putting a number into scientific notation: Count the number of times the decimal moves. Because the number below is of a small magnitude, the exponent will be ___________. negative In scientific notation this number is 1.25 × 10 -7

Write each of the numbers on your notes page in scientific notation correctly.

Putting a number into the calculator in scientific notation. If you do not put in these numbers correctly, you will often come out with the wrong answer.

Example: 6.02 × Step #1 Put the first number, call the significand, into the calculator. 6.02

Step #2 Press the key Step #3 Press the key Example: 6.02 × 10 23

Step #4 Type in the exponent. 23 Example: 6.02 × 10 23

This is what it will look like on your screen: But remember that it means: 6.02 × 10 23

Translate the numbers on your notes from how they appear on the calculator screen to how they should really be written × × × ×

When you place numbers into the calculator correctly, multiplying and dividing them is just as easy as any other numbers. Practice multiplying and dividing the numbers in scientific notation on your notes.

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