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Adding and Subtracting . Adding in Scientific Notation and Subtracting in Scientific Notation. Adding and Subtracting…. The important thing to remember about adding or subtracting is that the exponents must be the same!

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adding and subtracting1
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.
adding
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.
adding1
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.)
adding with the same exponent
Adding With the Same Exponent
  • (3.45 x 103) + (6.11 x 103)
  • 3.45 + 6.11 = 9.56
  • 9.56 x 103
adding with different exponents
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
now it s your turn
Now it’s your turn.
  • Use the link below to practice adding numbers in scientific notation.
  • Adding Numbers in Scientific Notation
subtracting
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).
subtracting1
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.)
subtracting with the same exponent
Subtracting With the Same Exponent
  • (8.96 x 107) – (3.41 x 107)
  • 8.96 – 3.41 = 5.55
  • 5.55 x 107
subtracting with different exponents
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
now it s your turn1
Now it’s your turn.
  • Use the link below to practice subtracting numbers in scientific notation.
  • Subtracting Numbers in Scientific Notation
quiz time
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