Solve (0.1*1.0)+(2*0.1)+(3*0.1)+(4*0.2)+(5*0.3)+(6*0.2)

$$(0.1 \times 1.0)+(2 \times 0.1)+(3 \times 0.1)+(4 \times 0.2)+(5 \times 0.3)+(6 \times 0.2)$$

Evaluate

$$4.1$$

Solution Steps

Multiply 0.1 and 1 to get 0.1.

$$0.1+2\times 0.1+3\times 0.1+4\times 0.2+5\times 0.3+6\times 0.2$$

Multiply 2 and 0.1 to get 0.2.

$$0.1+0.2+3\times 0.1+4\times 0.2+5\times 0.3+6\times 0.2$$

Add 0.1 and 0.2 to get 0.3.

$$0.3+3\times 0.1+4\times 0.2+5\times 0.3+6\times 0.2$$

Multiply 3 and 0.1 to get 0.3.

$$0.3+0.3+4\times 0.2+5\times 0.3+6\times 0.2$$

Add 0.3 and 0.3 to get 0.6.

$$0.6+4\times 0.2+5\times 0.3+6\times 0.2$$

Multiply 4 and 0.2 to get 0.8.

$$0.6+0.8+5\times 0.3+6\times 0.2$$

Add 0.6 and 0.8 to get 1.4.

$$1.4+5\times 0.3+6\times 0.2$$

Multiply 5 and 0.3 to get 1.5.

$$1.4+1.5+6\times 0.2$$

Add 1.4 and 1.5 to get 2.9.

$$2.9+6\times 0.2$$

Multiply 6 and 0.2 to get 1.2.

$$2.9+1.2$$

Add 2.9 and 1.2 to get 4.1.

$$4.1$$

Factor

$$\frac{41}{2 \cdot 5} = 4\frac{1}{10} = 4.1$$