Solve 8.52div0.2-7(0.9)^2

$$8.52 \div 0.2 - 7 ( 0.9 ) ^ { 2 }$$

Evaluate

$$36.93$$

Solution Steps

Expand \frac{8.52}{0.2} by multiplying both numerator and the denominator by 100.

$$\frac{852}{20}-7\times 0.9^{2}$$

Reduce the fraction \frac{852}{20} to lowest terms by extracting and canceling out 4.

$$\frac{213}{5}-7\times 0.9^{2}$$

Calculate 0.9 to the power of 2 and get 0.81.

$$\frac{213}{5}-7\times 0.81$$

Multiply 7 and 0.81 to get 5.67.

$$\frac{213}{5}-5.67$$

Convert decimal number 5.67 to fraction \frac{567}{100}.

$$\frac{213}{5}-\frac{567}{100}$$

Least common multiple of 5 and 100 is 100. Convert \frac{213}{5} and \frac{567}{100} to fractions with denominator 100.

$$\frac{4260}{100}-\frac{567}{100}$$

Since \frac{4260}{100} and \frac{567}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4260-567}{100}$$

Subtract 567 from 4260 to get 3693.

$$\frac{3693}{100}$$

Factor

$$\frac{3 \cdot 1231}{2 ^ {2} \cdot 5 ^ {2}} = 36\frac{93}{100} = 36.93$$