(.3)^2 + (.03)^2

asked by guest
on Dec 31, 2024 at 8:49 pm



You asked:

Evaluate the expression: \({.3}^{2} + {.03}^{2}\)

MathBot Answer:

\[{.3}^{2} + {.03}^{2} = \frac{909}{10000} = 0.0909\]

\[\begin{aligned}{.3}^{2} + {.03}^{2}&={\left( \frac{3}{10} \right)}^{2} + {.03}^{2}\\&=\frac{9}{100} + {.03}^{2}\\&=\frac{9}{100} + {\left( \frac{3}{100} \right)}^{2}\\&=\frac{9}{100} + \frac{9}{10000}\\&=\frac{909}{10000}\end{aligned}\]

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