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Simplified and written in standard form, $\dfrac{7\times10^4}{0.000035}$ is:

A$2\times10^{8}$
B$20\times10^{8}$
C$2\times10^{10}$
D$2\times10^{9}$
Answer & Solution
Correct answer: D. $2\times10^{9}$
1. First write the denominator in standard form: $0.000035=3.5\times10^{-5}$. 2. The expression becomes $\dfrac{7\times10^{4}}{3.5\times10^{-5}}$. 3. Divide the numbers: $\dfrac{7}{3.5}=2$. 4. Subtract the exponents: $10^{4-(-5)}=10^{9}$. 5. So the answer is $2\times10^{9}$. Writing $20\times10^{8}$ has the right value but is not standard form, since the first factor must lie between 1 and 10. _Source: NECTA CSEE 2022 Basic Mathematics 041, Question 1: Numbers, Fractions, Percentages and Logarithms_
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