2.25 - 2.0025

asked by guest
on Jan 16, 2025 at 4:02 am



You asked:

Evaluate the expression: \(2.25 - 2.0025\)

MathBot Answer:

\[2.25 - 2.0025 = \frac{99}{400} = 0.2475\]


\[\begin{aligned}2.25 - 2.0025& = 2 + \frac{25}{100} - \left(2 + \frac{25}{10000}\right)\\& = 2 + \frac{1}{4} - \left(2 + \frac{25}{10000}\right)\\& = 2 + \frac{1}{4} - \left(2 + \frac{1}{400}\right)\\& = 2 + \frac{1}{4} - \frac{801}{400}\\& = \frac{9}{4} - \frac{801}{400}\\& = \frac{99}{400}\end{aligned}\]