Solve 2*10^4+1/2*1000[9-16]+1000*10(-1)

$$2 \times 10 ^ { 4 } + \frac { 1 } { 2 } \times 1000 [ 9 - 16 ] + 1000 \times 10 ( - 1 )$$

Evaluate

$$6500$$

Solution Steps

Calculate 10 to the power of 4 and get 10000.

$$2\times 10000+\frac{1}{2}\times 1000\left(9-16\right)+1000\times 10\left(-1\right)$$

Multiply 2 and 10000 to get 20000.

$$20000+\frac{1}{2}\times 1000\left(9-16\right)+1000\times 10\left(-1\right)$$

Multiply \frac{1}{2} and 1000 to get \frac{1000}{2}.

$$20000+\frac{1000}{2}\left(9-16\right)+1000\times 10\left(-1\right)$$

Divide 1000 by 2 to get 500.

$$20000+500\left(9-16\right)+1000\times 10\left(-1\right)$$

Subtract 16 from 9 to get -7.

$$20000+500\left(-7\right)+1000\times 10\left(-1\right)$$

Multiply 500 and -7 to get -3500.

$$20000-3500+1000\times 10\left(-1\right)$$

Subtract 3500 from 20000 to get 16500.

$$16500+1000\times 10\left(-1\right)$$

Multiply 1000 and 10 to get 10000.

$$16500+10000\left(-1\right)$$

Multiply 10000 and -1 to get -10000.

$$16500-10000$$

Subtract 10000 from 16500 to get 6500.

$$6500$$

Factor

$$2^{2}\times 5^{3}\times 13$$