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

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

Evaluate

$$\frac{80003}{25}=3200.12$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$3\times 1000+2\times 10^{2}+5\times 10^{-2}+7\times 10^{-2}$$

Multiply 3 and 1000 to get 3000.

$$3000+2\times 10^{2}+5\times 10^{-2}+7\times 10^{-2}$$

Calculate 10 to the power of 2 and get 100.

$$3000+2\times 100+5\times 10^{-2}+7\times 10^{-2}$$

Multiply 2 and 100 to get 200.

$$3000+200+5\times 10^{-2}+7\times 10^{-2}$$

Add 3000 and 200 to get 3200.

$$3200+5\times 10^{-2}+7\times 10^{-2}$$

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

$$3200+5\times \frac{1}{100}+7\times 10^{-2}$$

Multiply 5 and \frac{1}{100} to get \frac{1}{20}.

$$3200+\frac{1}{20}+7\times 10^{-2}$$

Add 3200 and \frac{1}{20} to get \frac{64001}{20}.

$$\frac{64001}{20}+7\times 10^{-2}$$

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

$$\frac{64001}{20}+7\times \frac{1}{100}$$

Multiply 7 and \frac{1}{100} to get \frac{7}{100}.

$$\frac{64001}{20}+\frac{7}{100}$$

Add \frac{64001}{20} and \frac{7}{100} to get \frac{80003}{25}.

$$\frac{80003}{25}$$

Factor

$$\frac{7 \cdot 11 \cdot 1039}{5 ^ {2}} = 3200\frac{3}{25} = 3200.12$$