Solve 500-{(6-1)*8div4*3+16div(10-2)}-5

$$500 - \{ ( 6 - 1 ) \times 8 \div 4 \times 3 + 16 \div ( 10 - 2 ) \} - 5$$

Evaluate

$$463$$

Solution Steps

Subtract 1 from 6 to get 5.

$$500-\left(\frac{5\times 8}{4}\times 3+\frac{16}{10-2}\right)-5$$

Multiply 5 and 8 to get 40.

$$500-\left(\frac{40}{4}\times 3+\frac{16}{10-2}\right)-5$$

Divide 40 by 4 to get 10.

$$500-\left(10\times 3+\frac{16}{10-2}\right)-5$$

Multiply 10 and 3 to get 30.

$$500-\left(30+\frac{16}{10-2}\right)-5$$

Subtract 2 from 10 to get 8.

$$500-\left(30+\frac{16}{8}\right)-5$$

Divide 16 by 8 to get 2.

$$500-\left(30+2\right)-5$$

Add 30 and 2 to get 32.

$$500-32-5$$

Subtract 32 from 500 to get 468.

$$468-5$$

Subtract 5 from 468 to get 463.

$$463$$

Factor

$$463$$