Solve -(-30(7+8)+45div5-(45-10)+100)

$$- ( - 30 ( 7 + 8 ) + 45 \div 5 - ( 45 - 10 ) + 100 )$$

Evaluate

$$376$$

Solution Steps

Add 7 and 8 to get 15.

$$-\left(-30\times 15+\frac{45}{5}-\left(45-10\right)+100\right)$$

Multiply -30 and 15 to get -450.

$$-\left(-450+\frac{45}{5}-\left(45-10\right)+100\right)$$

Divide 45 by 5 to get 9.

$$-\left(-450+9-\left(45-10\right)+100\right)$$

Add -450 and 9 to get -441.

$$-\left(-441-\left(45-10\right)+100\right)$$

Subtract 10 from 45 to get 35.

$$-\left(-441-35+100\right)$$

Subtract 35 from -441 to get -476.

$$-\left(-476+100\right)$$

Add -476 and 100 to get -376.

$$-\left(-376\right)$$

The opposite of -376 is 376.

$$376$$

Factor

$$2^{3}\times 47$$