Solve (100div2)-{[(8+sqrt{100})*-2]+[(-5^2+8)-(1000div100)(-20)+sqrt{36}]}

$$( 100 \div 2 ) - \{ [ ( 8 + \sqrt { 100 } ) \cdot - 2 ] + [ ( - 5 ^ { 2 } + 8 ) - ( 1000 \div 100 ) ( - 20 ) + \sqrt { 36 } ] \}$$

Evaluate

$$-103$$

Solution Steps

Divide 100 by 2 to get 50.

$$50-\left(\left(8+\sqrt{100}\right)\left(-2\right)+-5^{2}+8-\frac{1000}{100}\left(-20\right)+\sqrt{36}\right)$$

Calculate the square root of 100 and get 10.

$$50-\left(\left(8+10\right)\left(-2\right)+-5^{2}+8-\frac{1000}{100}\left(-20\right)+\sqrt{36}\right)$$

Add 8 and 10 to get 18.

$$50-\left(18\left(-2\right)+-5^{2}+8-\frac{1000}{100}\left(-20\right)+\sqrt{36}\right)$$

Multiply 18 and -2 to get -36.

$$50-\left(-36+-5^{2}+8-\frac{1000}{100}\left(-20\right)+\sqrt{36}\right)$$

Calculate 5 to the power of 2 and get 25.

$$50-\left(-36+-25+8-\frac{1000}{100}\left(-20\right)+\sqrt{36}\right)$$

Add -25 and 8 to get -17.

$$50-\left(-36+-17-\frac{1000}{100}\left(-20\right)+\sqrt{36}\right)$$

Divide 1000 by 100 to get 10.

$$50-\left(-36+-17-10\left(-20\right)+\sqrt{36}\right)$$

Multiply 10 and -20 to get -200.

$$50-\left(-36+-17-\left(-200\right)+\sqrt{36}\right)$$

The opposite of -200 is 200.

$$50-\left(-36-17+200+\sqrt{36}\right)$$

Add -17 and 200 to get 183.

$$50-\left(-36+183+\sqrt{36}\right)$$

Add -36 and 183 to get 147.

$$50-\left(147+\sqrt{36}\right)$$

Calculate the square root of 36 and get 6.

$$50-\left(147+6\right)$$

Add 147 and 6 to get 153.

$$50-153$$

Subtract 153 from 50 to get -103.

$$-103$$

Factor

$$-103$$