Solve (4.02*10^-3)div4*0.1^2=

$$( 4.02 \times 10 ^ { - 3 } ) \div 4 \times 0.1 ^ { 2 } =$$

Evaluate

$$0.00001005$$

Solution Steps

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

$$\frac{4.02\times \frac{1}{1000}}{4}\times 0.1^{2}$$

Multiply 4.02 and \frac{1}{1000} to get \frac{201}{50000}.

$$\frac{\frac{201}{50000}}{4}\times 0.1^{2}$$

Express \frac{\frac{201}{50000}}{4} as a single fraction.

$$\frac{201}{50000\times 4}\times 0.1^{2}$$

Multiply 50000 and 4 to get 200000.

$$\frac{201}{200000}\times 0.1^{2}$$

Calculate 0.1 to the power of 2 and get 0.01.

$$\frac{201}{200000}\times 0.01$$

Multiply \frac{201}{200000} and 0.01 to get \frac{201}{20000000}.

$$\frac{201}{20000000}$$

Factor

$$\frac{3 \cdot 67}{2 ^ {8} \cdot 5 ^ {7}} = 1.005 \times 10^{-5}$$