Solve (-0.2)^2+0.3div-6

$$( - 0.2 ) ^ { 2 } + 0.3 \div - 6$$

Evaluate

$$-0.01$$

Solution Steps

Calculate -0.2 to the power of 2 and get 0.04.

$$0.04+\frac{0.3}{-6}$$

Expand \frac{0.3}{-6} by multiplying both numerator and the denominator by 10.

$$0.04+\frac{3}{-60}$$

Reduce the fraction \frac{3}{-60} to lowest terms by extracting and canceling out 3.

$$0.04-\frac{1}{20}$$

Convert decimal number 0.04 to fraction \frac{4}{100}. Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{25}-\frac{1}{20}$$

Least common multiple of 25 and 20 is 100. Convert \frac{1}{25} and \frac{1}{20} to fractions with denominator 100.

$$\frac{4}{100}-\frac{5}{100}$$

Since \frac{4}{100} and \frac{5}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-5}{100}$$

Subtract 5 from 4 to get -1.

$$-\frac{1}{100}$$

Factor

$$-0.01$$