Solve 3*(5)^2-5*5+1/2=

$$3 \cdot ( 5 ) ^ { 2 } - 5 \cdot 5 + \frac { 1 } { 2 } =$$

Evaluate

$$\frac{101}{2}=50.5$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$3\times 25-5\times 5+\frac{1}{2}$$

Multiply 3 and 25 to get 75.

$$75-5\times 5+\frac{1}{2}$$

Multiply 5 and 5 to get 25.

$$75-25+\frac{1}{2}$$

Subtract 25 from 75 to get 50.

$$50+\frac{1}{2}$$

Convert 50 to fraction \frac{100}{2}.

$$\frac{100}{2}+\frac{1}{2}$$

Since \frac{100}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{100+1}{2}$$

Add 100 and 1 to get 101.

$$\frac{101}{2}$$

Factor

$$\frac{101}{2} = 50\frac{1}{2} = 50.5$$