Solve 1/2*8*10^-3*(300^2-100^2)

$$\frac { 1 } { 2 } \times 8 \times 10 ^ { - 3 } \times ( 300 ^ { 2 } - 100 ^ { 2 } )$$

Evaluate

$$320$$

Solution Steps

Multiply \frac{1}{2} and 8 to get 4.

$$4\times 10^{-3}\left(300^{2}-100^{2}\right)$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$4\times \frac{1}{1000}\left(300^{2}-100^{2}\right)$$

Multiply 4 and \frac{1}{1000} to get \frac{1}{250}.

$$\frac{1}{250}\left(300^{2}-100^{2}\right)$$

Calculate 300 to the power of 2 and get 90000.

$$\frac{1}{250}\left(90000-100^{2}\right)$$

Calculate 100 to the power of 2 and get 10000.

$$\frac{1}{250}\left(90000-10000\right)$$

Subtract 10000 from 90000 to get 80000.

$$\frac{1}{250}\times 80000$$

Multiply \frac{1}{250} and 80000 to get 320.

$$320$$

Factor

$$2^{6}\times 5$$