1.69×10^-5+1.23×10^-6

asked by guest
on Jan 25, 2025 at 6:25 am



You asked:

Evaluate the expression: \(1.69 \cdot {10}^{-5} + 1.23 \cdot {10}^{-6}\)

MathBot Answer:

\[1.69 \cdot {10}^{-5} + 1.23 \cdot {10}^{-6} = \frac{1813}{100000000} = 0.00001813\]

\[\begin{aligned}1.69 \cdot {10}^{-5} + 1.23 \cdot {10}^{-6}& = \left(1 + \frac{69}{100}\right) \cdot \frac{1}{10^{5}} + \left(1 + \frac{23}{100}\right) \cdot \frac{1}{10^{6}}\\& = \frac{169}{100} \cdot \frac{1}{10^{5}} + \left(1 + \frac{23}{100}\right) \cdot \frac{1}{10^{6}}\\& = \frac{169}{100} \cdot \frac{1}{100000} + \left(1 + \frac{23}{100}\right) \cdot \frac{1}{10^{6}}\\& = \frac{169}{10000000} + \left(1 + \frac{23}{100}\right) \cdot \frac{1}{10^{6}}\\& = \frac{169}{10000000} + \frac{123}{100} \cdot \frac{1}{10^{6}}\\& = \frac{169}{10000000} + \frac{123}{100} \cdot \frac{1}{1000000}\\& = \frac{169}{10000000} + \frac{123}{100000000}\\& = \frac{1813}{100000000}\end{aligned}\]

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