Solve 1000*150/3.14*170*10^-9

$$\frac{ 1000 \cdot 150 }{ 3.14 \cdot 170 \times { 10 }^{ -9 } }$$

Evaluate

$$\frac{750000000000000}{2669}\approx 281004121393.780442113$$

Solution Steps

Cancel out 10 in both numerator and denominator.

$$\frac{100\times 150}{3.14\times 17\times 10^{-9}}$$

Multiply 100 and 150 to get 15000.

$$\frac{15000}{3.14\times 17\times 10^{-9}}$$

Multiply 3.14 and 17 to get 53.38.

$$\frac{15000}{53.38\times 10^{-9}}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{15000}{53.38\times \frac{1}{1000000000}}$$

Multiply 53.38 and \frac{1}{1000000000} to get \frac{2669}{50000000000}.

$$\frac{15000}{\frac{2669}{50000000000}}$$

Divide 15000 by \frac{2669}{50000000000} by multiplying 15000 by the reciprocal of \frac{2669}{50000000000}.

$$15000\times \frac{50000000000}{2669}$$

Multiply 15000 and \frac{50000000000}{2669} to get \frac{750000000000000}{2669}.

$$\frac{750000000000000}{2669}$$

Factor

$$\frac{3 \cdot 2 ^ {13} \cdot 5 ^ {15}}{17 \cdot 157} = 281004121393\frac{2083}{2669} = 281004121393.78046$$