Solve 2,5*10^3*6*10^2/0,015*10^-3+5

$$\frac { 2,5 \cdot 10 ^ { 3 } \cdot 6 \cdot 10 ^ { 2 } } { 0,015 \cdot 10 ^ { - 3 } + 5 }$$

Evaluate

$$\frac{300000000000}{1000003}\approx 299999,1000027$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{2,5\times 10^{5}\times 6}{0,015\times 10^{-3}+5}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{2,5\times 100000\times 6}{0,015\times 10^{-3}+5}$$

Multiply 2,5 and 100000 to get 250000.

$$\frac{250000\times 6}{0,015\times 10^{-3}+5}$$

Multiply 250000 and 6 to get 1500000.

$$\frac{1500000}{0,015\times 10^{-3}+5}$$

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

$$\frac{1500000}{0,015\times \frac{1}{1000}+5}$$

Multiply 0,015 and \frac{1}{1000} to get \frac{3}{200000}.

$$\frac{1500000}{\frac{3}{200000}+5}$$

Add \frac{3}{200000} and 5 to get \frac{1000003}{200000}.

$$\frac{1500000}{\frac{1000003}{200000}}$$

Divide 1500000 by \frac{1000003}{200000} by multiplying 1500000 by the reciprocal of \frac{1000003}{200000}.

$$1500000\times \frac{200000}{1000003}$$

Multiply 1500000 and \frac{200000}{1000003} to get \frac{300000000000}{1000003}.

$$\frac{300000000000}{1000003}$$

Factor

$$\frac{3 \cdot 2 ^ {11} \cdot 5 ^ {11}}{1000003} = 299999\frac{100003}{1000003} = 299999.1000027$$