Solve 5.2*10^-2+4.2*10^-3

$$5.2 \times 10 ^ { - 2 } + 4.2 \times 10 ^ { - 3 }$$

Evaluate

$$0.0562$$

Solution Steps

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

$$5.2\times \frac{1}{100}+4.2\times 10^{-3}$$

Multiply 5.2 and \frac{1}{100} to get \frac{13}{250}.

$$\frac{13}{250}+4.2\times 10^{-3}$$

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

$$\frac{13}{250}+4.2\times \frac{1}{1000}$$

Multiply 4.2 and \frac{1}{1000} to get \frac{21}{5000}.

$$\frac{13}{250}+\frac{21}{5000}$$

Add \frac{13}{250} and \frac{21}{5000} to get \frac{281}{5000}.

$$\frac{281}{5000}$$

Factor

$$\frac{281}{2 ^ {3} \cdot 5 ^ {4}} = 0.0562$$