Solve 3/2-785*10^6*3.14left(110^-3right)^2/2*1*9*8

$$\frac{ 3 }{ 2 } - \frac{ 785 \times { 10 }^{ 6 } \times 3.14 { \left(1 { 10 }^{ -3 } \right) }^{ 2 } }{ 2 \cdot 1 \cdot 9 \cdot 8 }$$

Evaluate

$$-\frac{22489}{1440}\approx -15.617361111$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$\frac{3}{2}-\frac{785\times 1000000\times 3.14\times \left(1\times 10^{-3}\right)^{2}}{2\times 1\times 9\times 8}$$

Multiply 785 and 1000000 to get 785000000.

$$\frac{3}{2}-\frac{785000000\times 3.14\times \left(1\times 10^{-3}\right)^{2}}{2\times 1\times 9\times 8}$$

Multiply 785000000 and 3.14 to get 2464900000.

$$\frac{3}{2}-\frac{2464900000\times \left(1\times 10^{-3}\right)^{2}}{2\times 1\times 9\times 8}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{3}{2}-\frac{2464900000\times \left(1\times \frac{1}{1000}\right)^{2}}{2\times 1\times 9\times 8}$$

Multiply 1 and \frac{1}{1000} to get \frac{1}{1000}.

$$\frac{3}{2}-\frac{2464900000\times \left(\frac{1}{1000}\right)^{2}}{2\times 1\times 9\times 8}$$

Calculate \frac{1}{1000} to the power of 2 and get \frac{1}{1000000}.

$$\frac{3}{2}-\frac{2464900000\times \frac{1}{1000000}}{2\times 1\times 9\times 8}$$

Multiply 2464900000 and \frac{1}{1000000} to get \frac{24649}{10}.

$$\frac{3}{2}-\frac{\frac{24649}{10}}{2\times 1\times 9\times 8}$$

Multiply 2 and 1 to get 2.

$$\frac{3}{2}-\frac{\frac{24649}{10}}{2\times 9\times 8}$$

Multiply 2 and 9 to get 18.

$$\frac{3}{2}-\frac{\frac{24649}{10}}{18\times 8}$$

Multiply 18 and 8 to get 144.

$$\frac{3}{2}-\frac{\frac{24649}{10}}{144}$$

Express \frac{\frac{24649}{10}}{144} as a single fraction.

$$\frac{3}{2}-\frac{24649}{10\times 144}$$

Multiply 10 and 144 to get 1440.

$$\frac{3}{2}-\frac{24649}{1440}$$

Subtract \frac{24649}{1440} from \frac{3}{2} to get -\frac{22489}{1440}.

$$-\frac{22489}{1440}$$

Factor

$$-\frac{22489}{1440} = -15\frac{889}{1440} = -15.61736111111111$$