Solve 0.01*0.1-0.001div10+0.01

$$0.01 \times 0.1 - 0.001 \div 10 + 0.01$$

Evaluate

$$0.0109$$

Solution Steps

Multiply 0.01 and 0.1 to get 0.001.

$$0.001-\frac{0.001}{10}+0.01$$

Expand \frac{0.001}{10} by multiplying both numerator and the denominator by 1000.

$$0.001-\frac{1}{10000}+0.01$$

Convert decimal number 0.001 to fraction \frac{1}{1000}.

$$\frac{1}{1000}-\frac{1}{10000}+0.01$$

Least common multiple of 1000 and 10000 is 10000. Convert \frac{1}{1000} and \frac{1}{10000} to fractions with denominator 10000.

$$\frac{10}{10000}-\frac{1}{10000}+0.01$$

Since \frac{10}{10000} and \frac{1}{10000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-1}{10000}+0.01$$

Subtract 1 from 10 to get 9.

$$\frac{9}{10000}+0.01$$

Convert decimal number 0.01 to fraction \frac{1}{100}.

$$\frac{9}{10000}+\frac{1}{100}$$

Least common multiple of 10000 and 100 is 10000. Convert \frac{9}{10000} and \frac{1}{100} to fractions with denominator 10000.

$$\frac{9}{10000}+\frac{100}{10000}$$

Since \frac{9}{10000} and \frac{100}{10000} have the same denominator, add them by adding their numerators.

$$\frac{9+100}{10000}$$

Add 9 and 100 to get 109.

$$\frac{109}{10000}$$

Factor

$$\frac{109}{2 ^ {4} \cdot 5 ^ {4}} = 0.0109$$