Adding and Subtracting

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Adding and Subtracting

• By Jenny Erickson

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Adding in Scientific NotationandSubtracting in
Scientific Notation
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Adding and Subtracting

• The important thing to remember about adding or
  subtracting is that the exponents must be the
  same!
• If the exponents are not the same then it is
  necessary to change one of the numbers so that
  both numbers have the same exponential value.

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Adding

• The general format for adding is as follows
• (N x 10x) (M x 10x) (N M) x 10x
• The first step, if necessary, is to change one of
  the numbers so that both numbers have the same
  exponential value.

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Adding

• Secondly, add the N and M numbers together and
  express as an answer.
• The final step is to multiply the result by the
  10x.
• (It may be necessary to put the resulting answer
  into proper scientific notation.)

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Adding With the Same Exponent

• (3.45 x 103) (6.11 x 103)
• 3.45 6.11 9.56
• 9.56 x 103

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Adding With Different Exponents

• (4.12 x 106) (3.94 x 104)
• (412 x 104) (3.94 x 104)
• 412 3.94 415.94
• 415.94 x 104
• Express in proper form 4.15 x 106

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Now its your turn.

• Use the link below to practice adding numbers in
  scientific notation.
• Adding Numbers in Scientific Notation

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Subtracting

• The general form for subtracting is as follows
• (N x 10x) (M x 10x) (N M) x 10x
• The first step, if necessary is to change one of
  the numbers so that both numbers have the same
  exponential value. (Just like adding).

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Subtracting

• Secondly, subtract the M number from the N number
  and express as an answer.
• The final step is to multiply the result by the
  10x.
• (It may be necessary to put the resulting answer
  into proper scientific notation.)

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Subtracting With the Same Exponent

• (8.96 x 107) (3.41 x 107)
• 8.96 3.41 5.55
• 5.55 x 107

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Subtracting With Different Exponents

• (4.23 x 103) (9.56 x 102)
• (42.3 x 102) (9.56 x 102)
• 42.3 9.56 32.74
• 32.74 x 102
• Express in proper form 3.27 x 103

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Now its your turn.

• Use the link below to practice subtracting
  numbers in scientific notation.
• Subtracting Numbers in Scientific Notation

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Quiz Time!!!

• Below is a set of links for a quiz on adding and
  subtracting numbers in scientific notation, and
  there is a link to get the answers to the quiz.
• Adding and Subtracting Quiz
• Answers to Quiz