Solve 5*10^3+1*10^1+8*10^-2+7*10^-5

$$5 \times 10 ^ { 3 } + 1 \times 10 ^ { 1 } + 8 \times 10 ^ { - 2 } + 7 \times 10 ^ { - 5 }$$

Evaluate

$$\frac{501008007}{100000}=5010.08007$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$5\times 1000+1\times 10^{1}+8\times 10^{-2}+7\times 10^{-5}$$

Multiply 5 and 1000 to get 5000.

$$5000+1\times 10^{1}+8\times 10^{-2}+7\times 10^{-5}$$

Calculate 10 to the power of 1 and get 10.

$$5000+1\times 10+8\times 10^{-2}+7\times 10^{-5}$$

Multiply 1 and 10 to get 10.

$$5000+10+8\times 10^{-2}+7\times 10^{-5}$$

Add 5000 and 10 to get 5010.

$$5010+8\times 10^{-2}+7\times 10^{-5}$$

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

$$5010+8\times \frac{1}{100}+7\times 10^{-5}$$

Multiply 8 and \frac{1}{100} to get \frac{2}{25}.

$$5010+\frac{2}{25}+7\times 10^{-5}$$

Add 5010 and \frac{2}{25} to get \frac{125252}{25}.

$$\frac{125252}{25}+7\times 10^{-5}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{125252}{25}+7\times \frac{1}{100000}$$

Multiply 7 and \frac{1}{100000} to get \frac{7}{100000}.

$$\frac{125252}{25}+\frac{7}{100000}$$

Add \frac{125252}{25} and \frac{7}{100000} to get \frac{501008007}{100000}.

$$\frac{501008007}{100000}$$

Factor

$$\frac{3 \cdot 43 \cdot 97 \cdot 40039}{2 ^ {5} \cdot 5 ^ {5}} = 5010\frac{8007}{100000} = 5010.08007$$