(10.5-10.19)^2

asked by guest
on Nov 17, 2024 at 6:44 am



You asked:

Evaluate the expression: \({\left( 10.5 - 10.19 \right)}^{2}\)

MathBot Answer:

\[{\left( 10.5 - 10.19 \right)}^{2} = \frac{961}{10000} = 0.0961\]

\[\begin{aligned}{\left( 10.5 - 10.19 \right)}^{2}& = \left(10 + \frac{5}{10} - \left(10 + \frac{19}{100}\right)\right)^{2}\\& = \left(10 + \frac{1}{2} - \left(10 + \frac{19}{100}\right)\right)^{2}\\& = \left(10 + \frac{1}{2} - \frac{1019}{100}\right)^{2}\\& = \left(\frac{21}{2} - \frac{1019}{100}\right)^{2}\\& = \left(\frac{31}{100}\right)^{2}\\& = \frac{961}{10000}\end{aligned}\]

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