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Significant Figures. Principles of Science Mr. Kessler. Significant Figures.

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Significant figures

Significant Figures

Principles of Science

Mr. Kessler


Significant figures1
Significant Figures

  • You have a map of the United States. On the left is the Pacific Ocean and on the right is the Atlantic Ocean. Write “P” and “A” for the oceans. The “P” will stand for “Present” and the “A” will stand for “Absent”. Given a number, go through the following questions to determine how many significant digits are in the number.


Significant figures2
Significant Figures

  • Q1: Is the decimal present or absent?

  • Q2: Which ocean does it move toward?

  • Q3: The first non-zero number butts up against the coast. All of the zeroes hanging off over the ocean sink to the bottom and are gone.

  • Q4: How many digits are left on land? This will be the number of significant figures.


92000
92000

92 000

2 Sig Figs


0 0004502
0.0004502

0.000 4502

4 Sig Figs


38 20
38.20

38.20

4 Sig Figs


102510
102510

10251 0

5 Sig Figs


Scientific notation

Scientific Notation

Principles of Science

Mr. Kessler


Scientific notation1

For a number less than 1

0.000001052

For a number greater than 10:

9604000000

Scientific Notation

  • Examples:


Scientific notation2

1.052

↑ .

For numbers where a decimal is present, all of the zeroes to the left of the first non-zero number from the left drop into the Pacific Ocean

9.604

For numbers where a decimal is absent, all of the zeroes to the right of the first non-zero number from the right drop into the Atlantic Ocean

Scientific Notation

  • Step 1: Move the decimal point so that you have a number that is between 1 and 10.


Scientific notation3

0.000001052

-6 .

If the decimal point is moved to the right, the count is negative.

9604000000

9

If the decimal point was moved to the left, the count is positive.

Scientific Notation

  • Step 2: Count the number of decimal places moved in Step 1.


Scientific notation4

From Step 1: 1.052

From Step 2: -6

1.052 x 10-6

FromStep 1: 9.604

FromStep 2: 9

9.604 x 109

Scientific Notation

  • Step 3: Write the number from Step 1 times 10 with a power of the number determined by Step 2.


Scientific notation5
Scientific Notation

  • For all numbers between 1 and 10 (including 1 but not including 10) are written as that number times 100. For example, 1.023 = 1.023 x 100 in scientific notation.