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Find the difference of the numbers. Express your answer in scientific notation.(9.84 times 10 Superscript 10 Baseline) minus (7.99 times 10 Superscript 9 Baseline)1.85 times 10 Superscript 99.041 times 10 Superscript 91.85 times 10 Superscript 109.041 times 10 Superscript 10

User Chrisby
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1 Answer

15 votes
15 votes
Step-by-step explanation

We need to find the following difference between numbers in scientific notation:


9.84\cdot10^(10)-7.99\cdot10^9

In order to perform an addition or a substraction in scientific notation we first need to write both terms with the same power of 10. In order to do this we can rewrite the decimal part of the right term:


(7.99)/(10)=0.799\Rightarrow7.99=0.799\cdot10

Before continuing let's recal a property of powers:


b^n\cdot b^m=b^(n+m)

Now we take the original expression and we replace 7.99 with 0.799*10:


\begin{gathered} 9.84*10^(10)-7.99*10^9=9.84*10^(10)-0.799\operatorname{*}10*10^9 \\ 9.84*10^(10)-0.799\operatorname{*}10*10^9=9.84*10^(10)-0.799\operatorname{*}10^(10) \end{gathered}

Now that both terms have the same power of 10 we just need to operate with their decimal parts:


9.84*10^(10)-0.799\operatorname{*}10^(10)=(9.84-0.799)\operatorname{*}10^(10)=9.041\operatorname{*}10^(10)Answer

Then the answer is the fourth option.

User Nima Ajdari
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2.9k points