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Understanding Scientific Notation Patterns

Learn about the patterns between exponents and standard form numbers, practice evaluating, mastering scientific notation, moving decimals, and converting numbers. Explore its significance with examples and practice exercises.

jeremy-mcclain
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Understanding Scientific Notation Patterns

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  1. Algebra Scientific Notation

  2. Warm-up • Complete the table. 10,000 1,000 100 10 1 What pattern do you see between the exponents and the standard form number?

  3. In your notes • Complete the table. .0001 .001 .01 .1 What pattern do you see with the exponents and the standard form number?

  4. With a calculator • Evaluate 890 45,100 .00722 .8132 What pattern do you see with the exponents and the standard form number?

  5. Without a calculator • Evaluate 610 7,050 .000125 .082

  6. Scientific notation • Scientific notation is a way of writing numbers using powers of ten. • Scientific notation uses a number between 1 and 9.9999… with a power of ten. 4,081,000 = • 4.081 • x 106 Exponent is equal to the number of places we moved the decimal Move decimal behind first digit (6 places)

  7. Practice • Write the number in scientific notation.

  8. Without a calculator • Write in regular (standard) form 2,390 456,000 .0198 .003092

  9. Summary • Scientific Notation is not a calculation, it is just another way of writing a number. • Scientific Notation is useful when dealing with very large or very small numbers. • When converting numbers into and out of scientific notation, we move the decimal according to the exponent on the 10.

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