Solve 75*[2*(1-0.3-0.5)+3*(0.6-0.5+0.10)]

$$75 \cdot [ 2 \cdot ( 1 - 0.3 - 0.5 ) + 3 \cdot ( 0.6 - 0.5 + 0.10 ) ]$$

Evaluate

$$75$$

Solution Steps

Subtract 0.3 from 1 to get 0.7.

$$75\left(2\left(0.7-0.5\right)+3\left(0.6-0.5+0.1\right)\right)$$

Subtract 0.5 from 0.7 to get 0.2.

$$75\left(2\times 0.2+3\left(0.6-0.5+0.1\right)\right)$$

Multiply 2 and 0.2 to get 0.4.

$$75\left(0.4+3\left(0.6-0.5+0.1\right)\right)$$

Subtract 0.5 from 0.6 to get 0.1.

$$75\left(0.4+3\left(0.1+0.1\right)\right)$$

Add 0.1 and 0.1 to get 0.2.

$$75\left(0.4+3\times 0.2\right)$$

Multiply 3 and 0.2 to get 0.6.

$$75\left(0.4+0.6\right)$$

Add 0.4 and 0.6 to get 1.

$$75\times 1$$

Multiply 75 and 1 to get 75.

$$75$$

Factor

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