Solve sqrt{0.25}+{left(1/2right)}^2+-1^2018

$$\sqrt{ 0.25 } + { \left( \frac{ 1 }{ 2 } \right) }^{ 2 } + { -1 }^{ 2018 }$$

Evaluate

$$1.75$$

Solution Steps

Calculate the square root of 0.25 and get 0.5.

$$0.5+\left(\frac{1}{2}\right)^{2}+\left(-1\right)^{2018}$$

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$0.5+\frac{1}{4}+\left(-1\right)^{2018}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}+\frac{1}{4}+\left(-1\right)^{2018}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{2}{4}+\frac{1}{4}+\left(-1\right)^{2018}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{4}+\left(-1\right)^{2018}$$

Add 2 and 1 to get 3.

$$\frac{3}{4}+\left(-1\right)^{2018}$$

Calculate -1 to the power of 2018 and get 1.

$$\frac{3}{4}+1$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{3}{4}+\frac{4}{4}$$

Since \frac{3}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{4}$$

Add 3 and 4 to get 7.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$