Solve 100*0.6*10^-3/2+1.22*10^-3/2

$$100 \times \frac{ 0.6 \times { 10 }^{ -3 } }{ 2 } + \frac{ 1.22 \times { 10 }^{ -3 } }{ 2 }$$

Evaluate

$$0.03061$$

Solution Steps

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

$$100\times \frac{0.6\times \frac{1}{1000}}{2}+\frac{1.22\times 10^{-3}}{2}$$

Multiply 0.6 and \frac{1}{1000} to get \frac{3}{5000}.

$$100\times \frac{\frac{3}{5000}}{2}+\frac{1.22\times 10^{-3}}{2}$$

Express \frac{\frac{3}{5000}}{2} as a single fraction.

$$100\times \frac{3}{5000\times 2}+\frac{1.22\times 10^{-3}}{2}$$

Multiply 5000 and 2 to get 10000.

$$100\times \frac{3}{10000}+\frac{1.22\times 10^{-3}}{2}$$

Multiply 100 and \frac{3}{10000} to get \frac{3}{100}.

$$\frac{3}{100}+\frac{1.22\times 10^{-3}}{2}$$

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

$$\frac{3}{100}+\frac{1.22\times \frac{1}{1000}}{2}$$

Multiply 1.22 and \frac{1}{1000} to get \frac{61}{50000}.

$$\frac{3}{100}+\frac{\frac{61}{50000}}{2}$$

Express \frac{\frac{61}{50000}}{2} as a single fraction.

$$\frac{3}{100}+\frac{61}{50000\times 2}$$

Multiply 50000 and 2 to get 100000.

$$\frac{3}{100}+\frac{61}{100000}$$

Add \frac{3}{100} and \frac{61}{100000} to get \frac{3061}{100000}.

$$\frac{3061}{100000}$$

Factor

$$\frac{3061}{2 ^ {5} \cdot 5 ^ {5}} = 0.03061$$