Solve 7*10^-1+4*10^-2+1*10^-3

$$7 \cdot 10 ^ { - 1 } + 4 \cdot 10 ^ { - 2 } + 1 \cdot 10 ^ { - 3 }$$

Evaluate

$$\frac{741}{1000}=0.741$$

Solution Steps

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

$$7\times \frac{1}{10}+4\times 10^{-2}+1\times 10^{-3}$$

Multiply 7 and \frac{1}{10} to get \frac{7}{10}.

$$\frac{7}{10}+4\times 10^{-2}+1\times 10^{-3}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{7}{10}+4\times \frac{1}{100}+1\times 10^{-3}$$

Multiply 4 and \frac{1}{100} to get \frac{1}{25}.

$$\frac{7}{10}+\frac{1}{25}+1\times 10^{-3}$$

Add \frac{7}{10} and \frac{1}{25} to get \frac{37}{50}.

$$\frac{37}{50}+1\times 10^{-3}$$

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

$$\frac{37}{50}+1\times \frac{1}{1000}$$

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

$$\frac{37}{50}+\frac{1}{1000}$$

Add \frac{37}{50} and \frac{1}{1000} to get \frac{741}{1000}.

$$\frac{741}{1000}$$

Factor

$$\frac{3 \cdot 13 \cdot 19}{2 ^ {3} \cdot 5 ^ {3}} = 0.741$$