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

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

Evaluate

$$\frac{20149999}{500}=40299.998$$

Solution Steps

Calculate 10 to the power of 2 and get 100.

$$3\times 100-2\times 10^{-3}+4\times 10^{4}$$

Multiply 3 and 100 to get 300.

$$300-2\times 10^{-3}+4\times 10^{4}$$

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

$$300-2\times \frac{1}{1000}+4\times 10^{4}$$

Multiply 2 and \frac{1}{1000} to get \frac{1}{500}.

$$300-\frac{1}{500}+4\times 10^{4}$$

Subtract \frac{1}{500} from 300 to get \frac{149999}{500}.

$$\frac{149999}{500}+4\times 10^{4}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{149999}{500}+4\times 10000$$

Multiply 4 and 10000 to get 40000.

$$\frac{149999}{500}+40000$$

Add \frac{149999}{500} and 40000 to get \frac{20149999}{500}.

$$\frac{20149999}{500}$$

Factor

$$\frac{2029 \cdot 9931}{2 ^ {2} \cdot 5 ^ {3}} = 40299\frac{499}{500} = 40299.998$$