SajjadAhmad wrote:
A bar below a digit in a decimal indicates an infinitely repeating decimal. 333,333.3 × \((10^{–3} – 10^{–5})\) =
A. 3,333.3
B. 3,330
C. 333.3
D. 330
E. 0
Let's break the equation into two parts:
For --> 333,333.
3Multiply numerator and denominator by 3:
(333,333.
3 × 3)/3 = 1000000/3 = \((10^{6})\) / 3
For --> \((10^{–3} – 10^{–5})\)
We can rewrite it to below:
\(((10^{-5}) * (10^{2} - 1)\)
= (100 - 1)/\((10^{5})\) = 99 / \((10^{5})\)
Now lets combine the two we get:
\(({10^{6}} * 99)/ (3 * {10^{-5}})\) = 33 * 10 = 330
Hence the correct answer is D.
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