Question

Can someome please help me solve this my teacher hasn't done a good with teaching us this.


`(5.{10}^(2)) + (3 * {10}^(4))`
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Answer 1

30500 = 3.05·10^4

Explanation:

Your calculator can do this for you. You may need to set the display to scientific notation, if that's the form of the answer you want.

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This can be computed by converting both numbers to standard form:

(5·10^2) +(3·10^4)

= 500 +30000 = 30500 = 3.05·10^4

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Addition of numbers in scientific notation in general requires that they have the same power of 10. It may be convenient to convert both numbers to the highest power of 10.

5·10^2 + 3·10^4

= 0.05·10^4 +3·10^4 . . . . now both have multipliers of 10^4

= (0.05 +3)·10^4

= 3.05·10^4