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arrow_back Evaluate \(1,99 \times 10^{-26}+1,67 \times 10^{-27}-2,79 \times 10^{-25}\)

by Platinum
(106,910 points)
in Mathematics
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Evaluate \(1,99 \times 10^{-26}+1,67 \times 10^{-27}-2,79 \times 10^{-25}\)

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Best answer
Step 1: Make all the exponents the same
To add or subtract numbers in scientific notation we must make all the exponents the same:
\[
\begin{aligned}
1,99 \times 10^{-26} &=0,199 \times 10^{-25} \\
\text { and } 1,67 \times 10^{-27} &=0,0167 \times 10^{-25}
\end{aligned}
\]
Step 2: Carry out the addition and subtraction
Now that the exponents are the same we can simply add or subtract the \(N\) part of each number:
\[
0,199+0,0167-2,79=-2,5743
\]
Step 3: Write the final answer
To get the final answer we put the common exponent back:
\[
-2,5743 \times 10^{-25}
\]
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