Solve 45*9-1/2*981*9

$$45 \times 9 - \frac { 1 } { 2 } \cdot 981 \cdot 9$$

Evaluate

$$-\frac{8019}{2}=-4009.5$$

Solution Steps

Multiply 45 and 9 to get 405.

$$405-\frac{1}{2}\times 981\times 9$$

Multiply \frac{1}{2} and 981 to get \frac{981}{2}.

$$405-\frac{981}{2}\times 9$$

Express \frac{981}{2}\times 9 as a single fraction.

$$405-\frac{981\times 9}{2}$$

Multiply 981 and 9 to get 8829.

$$405-\frac{8829}{2}$$

Convert 405 to fraction \frac{810}{2}.

$$\frac{810}{2}-\frac{8829}{2}$$

Since \frac{810}{2} and \frac{8829}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{810-8829}{2}$$

Subtract 8829 from 810 to get -8019.

$$-\frac{8019}{2}$$

Factor

$$-\frac{8019}{2} = -4009\frac{1}{2} = -4009.5$$