(3.14) (2 squared) (5)

asked by guest
on Oct 21, 2024 at 8:04 pm



You asked:

Evaluate the expression: \(3.14 \cdot {2}^{2} \cdot 5\)

MathBot Answer:

\[3.14 \cdot {2}^{2} \cdot 5 = \frac{314}{5} = 62.8\]


\[\begin{aligned}3.14 \cdot {2}^{2} \cdot 5& = \left(3 + \frac{14}{100}\right) \cdot 2^{2} \cdot 5\\& = \left(3 + \frac{7}{50}\right) \cdot 2^{2} \cdot 5\\& = \frac{157}{50} \cdot 2^{2} \cdot 5\\& = \frac{157}{50} \cdot 4 \cdot 5\\& = \frac{314}{25} \cdot 5\\& = \frac{314}{5}\end{aligned}\]