Solve 5*10+1/2*-0.5*10^2

$$5 \cdot 10+ \frac{ 1 }{ 2 } \times -0.5 \times { 10 }^{ 2 }$$

Evaluate

$$25$$

Solution Steps

Multiply 5 and 10 to get 50.

$$50+\frac{1}{2}\left(-0.5\right)\times 10^{2}$$

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.

$$50+\frac{1}{2}\left(-\frac{1}{2}\right)\times 10^{2}$$

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

$$50+\frac{1\left(-1\right)}{2\times 2}\times 10^{2}$$

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

$$50+\frac{-1}{4}\times 10^{2}$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$50-\frac{1}{4}\times 10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$50-\frac{1}{4}\times 100$$

Express -\frac{1}{4}\times 100 as a single fraction.

$$50+\frac{-100}{4}$$

Divide -100 by 4 to get -25.

$$50-25$$

Subtract 25 from 50 to get 25.

$$25$$

Factor

$$5^{2}$$