Solve 0.2*0.7*0.9+0.8*0.3*0.9+0.8*0.7*0.1

$$0.2 \times 0.7 \times 0.9 + 0.8 \times 0.3 \times 0.9 + 0.8 \times 0.7 \times 0.1$$

Evaluate

$$0.398$$

Solution Steps

Multiply 0.2 and 0.7 to get 0.14.

$$0.14\times 0.9+0.8\times 0.3\times 0.9+0.8\times 0.7\times 0.1$$

Multiply 0.14 and 0.9 to get 0.126.

$$0.126+0.8\times 0.3\times 0.9+0.8\times 0.7\times 0.1$$

Multiply 0.8 and 0.3 to get 0.24.

$$0.126+0.24\times 0.9+0.8\times 0.7\times 0.1$$

Multiply 0.24 and 0.9 to get 0.216.

$$0.126+0.216+0.8\times 0.7\times 0.1$$

Add 0.126 and 0.216 to get 0.342.

$$0.342+0.8\times 0.7\times 0.1$$

Multiply 0.8 and 0.7 to get 0.56.

$$0.342+0.56\times 0.1$$

Multiply 0.56 and 0.1 to get 0.056.

$$0.342+0.056$$

Add 0.342 and 0.056 to get 0.398.

$$0.398$$

Factor

$$\frac{199}{2 ^ {2} \cdot 5 ^ {3}} = 0.398$$