Solve 4*4+1/2*-0.2777*4^2

$$4 \times 4+ \frac{ 1 }{ 2 } \times -0.2777 \times { 4 }^{ 2 }$$

Evaluate

$$13.7784$$

Solution Steps

Multiply 4 and 4 to get 16.

$$16+\frac{1}{2}\left(-0.2777\right)\times 4^{2}$$

Convert decimal number -0.2777 to fraction -\frac{2777}{10000}.

$$16+\frac{1}{2}\left(-\frac{2777}{10000}\right)\times 4^{2}$$

Multiply \frac{1}{2} times -\frac{2777}{10000} by multiplying numerator times numerator and denominator times denominator.

$$16+\frac{1\left(-2777\right)}{2\times 10000}\times 4^{2}$$

Do the multiplications in the fraction \frac{1\left(-2777\right)}{2\times 10000}.

$$16+\frac{-2777}{20000}\times 4^{2}$$

Fraction \frac{-2777}{20000} can be rewritten as -\frac{2777}{20000} by extracting the negative sign.

$$16-\frac{2777}{20000}\times 4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$16-\frac{2777}{20000}\times 16$$

Express -\frac{2777}{20000}\times 16 as a single fraction.

$$16+\frac{-2777\times 16}{20000}$$

Multiply -2777 and 16 to get -44432.

$$16+\frac{-44432}{20000}$$

Reduce the fraction \frac{-44432}{20000} to lowest terms by extracting and canceling out 16.

$$16-\frac{2777}{1250}$$

Convert 16 to fraction \frac{20000}{1250}.

$$\frac{20000}{1250}-\frac{2777}{1250}$$

Since \frac{20000}{1250} and \frac{2777}{1250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20000-2777}{1250}$$

Subtract 2777 from 20000 to get 17223.

$$\frac{17223}{1250}$$

Factor

$$\frac{3 \cdot 5741}{2 \cdot 5 ^ {4}} = 13\frac{973}{1250} = 13.7784$$