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# Adding and Subtracting - PowerPoint PPT Presentation

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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Presentation Transcript

• 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.
• 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.
• 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.)
• (3.45 x 103) + (6.11 x 103)
• 3.45 + 6.11 = 9.56
• 9.56 x 103
• (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
• Use the link below to practice adding numbers in scientific notation.
• Adding Numbers in Scientific Notation
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).
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
• (8.96 x 107) – (3.41 x 107)
• 8.96 – 3.41 = 5.55
• 5.55 x 107
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