Solve (0.2)^2*(-0.1)+2*0.2*1/2000

$$( 0.2 ) ^ { 2 } \times ( - 0.1 ) + 2 \times 0.2 \times \frac { 1 } { 2000 }$$

Evaluate

$$-0.0038$$

Solution Steps

Calculate 0.2 to the power of 2 and get 0.04.

$$0.04\left(-0.1\right)+2\times 0.2\times \frac{1}{2000}$$

Multiply 0.04 and -0.1 to get -0.004.

$$-0.004+2\times 0.2\times \frac{1}{2000}$$

Multiply 2 and 0.2 to get 0.4.

$$-0.004+0.4\times \frac{1}{2000}$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$-0.004+\frac{2}{5}\times \frac{1}{2000}$$

Multiply \frac{2}{5} times \frac{1}{2000} by multiplying numerator times numerator and denominator times denominator.

$$-0.004+\frac{2\times 1}{5\times 2000}$$

Do the multiplications in the fraction \frac{2\times 1}{5\times 2000}.

$$-0.004+\frac{2}{10000}$$

Reduce the fraction \frac{2}{10000} to lowest terms by extracting and canceling out 2.

$$-0.004+\frac{1}{5000}$$

Convert decimal number -0.004 to fraction -\frac{4}{1000}. Reduce the fraction -\frac{4}{1000} to lowest terms by extracting and canceling out 4.

$$-\frac{1}{250}+\frac{1}{5000}$$

Least common multiple of 250 and 5000 is 5000. Convert -\frac{1}{250} and \frac{1}{5000} to fractions with denominator 5000.

$$-\frac{20}{5000}+\frac{1}{5000}$$

Since -\frac{20}{5000} and \frac{1}{5000} have the same denominator, add them by adding their numerators.

$$\frac{-20+1}{5000}$$

Add -20 and 1 to get -19.

$$-\frac{19}{5000}$$

Factor

$$-0.0038$$