By Jenny Erickson 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 ID: 130771
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Slide1
Adding and Subtracting
By: Jenny EricksonSlide2
Adding in Scientific Notation
and
Subtracting in Scientific NotationSlide3
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.Slide4
Adding…
The general format for adding is as follows…
(N x 10
x
) + (M x 10
x
) = (N + M) x 10
x
The first step, if necessary, is to change one of the numbers so that both numbers have the same exponential value.Slide5
Adding…
Secondly, add the N and M numbers together and express as an answer.
The final step is to multiply the result by the 10
x
.
(It may be necessary to put the resulting answer into proper scientific notation.)Slide6
Adding With the Same Exponent
(3.45 x 10
3
) + (6.11 x 10
3
)
3.45 + 6.11 = 9.56
9.56 x 10
3Slide7
Adding With Different Exponents
(4.12 x 10
6
) + (3.94 x 10
4
)
(412 x 10
4
) + (3.94 x 10
4
)
412 + 3.94 = 415.94
415.94 x 10
4
Express in proper form:
4.15 x 10
6Slide8
Now it’s your turn.
Use the link below to practice adding numbers in scientific notation.
Adding Numbers in Scientific NotationSlide9
Subtracting…
The general form for subtracting is as follows…
(N x 10
x
) – (M x 10
x
) = (N – M) x 10
x
The first step, if necessary is to change one of the numbers so that both numbers have the same exponential value. (Just like adding).Slide10
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 10
x
.
(It may be necessary to put the resulting answer into proper scientific notation.)Slide11
Subtracting With the Same Exponent
(8.96 x 10
7
) – (3.41 x 10
7
)
8.96 – 3.41 = 5.55
5.55 x 10
7Slide12
Subtracting With Different Exponents
(4.23 x 10
3
) – (9.56 x 10
2
)
(42.3 x 10
2
) – (9.56 x 10
2
)
42.3 – 9.56 = 32.74
32.74 x 10
2
Express in proper form:
3.27 x 10
3Slide13
Now it’s your turn.
Use the link below to practice subtracting numbers in scientific notation.
Subtracting Numbers in Scientific NotationSlide14
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