Solve 1000*0.4*0.4/3.14*0.1^2=

$$\frac { 1000 \times 0.4 \times 0.4 } { 3.14 \times 0.1 ^ { 2 } } =$$

Evaluate

$$\frac{800000}{157}\approx 5095.541401274$$

Solution Steps

Multiply 1000 and 0.4 to get 400.

$$\frac{400\times 0.4}{3.14\times 0.1^{2}}$$

Multiply 400 and 0.4 to get 160.

$$\frac{160}{3.14\times 0.1^{2}}$$

Calculate 0.1 to the power of 2 and get 0.01.

$$\frac{160}{3.14\times 0.01}$$

Multiply 3.14 and 0.01 to get 0.0314.

$$\frac{160}{0.0314}$$

Expand \frac{160}{0.0314} by multiplying both numerator and the denominator by 10000.

$$\frac{1600000}{314}$$

Reduce the fraction \frac{1600000}{314} to lowest terms by extracting and canceling out 2.

$$\frac{800000}{157}$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {5}}{157} = 5095\frac{85}{157} = 5095.541401273886$$