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Learning Goal: I can •Use scientific notation to express large numbers
•Rewrite large numbers written in scientific notation to standard form
• Read a large number written in scientific notation
Scientific notation is mathematical shorthand.
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2.4 x 10 miles5
Write this famous number from scientific notationto standard form.
Example 1
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2.4 x 10 miles5
Distance from earth to the sun
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9.4607 x 10 miles12
EXAMPLE 2
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9.4607 x 10 miles12
a unit of astronomical distance equivalent to the distance that light travels in one
year, which is 9.4607 × 1012 km (nearly 6 trillion miles)
Light year-
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7,000,000,000 people
Write this famous number in scientific notationEXAMPLE 3
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7 x 10 people9
Population of world
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100,000,000,000,000
EXAMPLE 4
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1.0 x 1014
Number of cells in human body
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1,988,000,000,000,000,000,000,000,000,000 kg
Write this famous number from standard formto scientific notation.
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1,988,000,000,000,000,000,000,000,000,000 kg
The Sun has a Mass of 1.988 × 1030 kg.
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Scientific notation
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Debrief:
How do your write a number inScientific notation?
Why is scientific notation used?
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COPY THE PROBLEM BEFORE WORKING.