Solve 12(-0.2+1)(-0.2+2)(-0.2+3)(0.4)/24

$$\frac { 12 ( - 0.2 + 1 ) ( - 0.2 + 2 ) ( - 0.2 + 3 ) ( 0.4 ) } { 24 }$$

Evaluate

$$0.8064$$

Solution Steps

Add -0.2 and 1 to get 0.8.

$$\frac{12\times 0.8\left(-0.2+2\right)\left(-0.2+3\right)\times 0.4}{24}$$

Multiply 12 and 0.8 to get 9.6.

$$\frac{9.6\left(-0.2+2\right)\left(-0.2+3\right)\times 0.4}{24}$$

Add -0.2 and 2 to get 1.8.

$$\frac{9.6\times 1.8\left(-0.2+3\right)\times 0.4}{24}$$

Multiply 9.6 and 1.8 to get 17.28.

$$\frac{17.28\left(-0.2+3\right)\times 0.4}{24}$$

Add -0.2 and 3 to get 2.8.

$$\frac{17.28\times 2.8\times 0.4}{24}$$

Multiply 17.28 and 2.8 to get 48.384.

$$\frac{48.384\times 0.4}{24}$$

Multiply 48.384 and 0.4 to get 19.3536.

$$\frac{19.3536}{24}$$

Expand \frac{19.3536}{24} by multiplying both numerator and the denominator by 10000.

$$\frac{193536}{240000}$$

Reduce the fraction \frac{193536}{240000} to lowest terms by extracting and canceling out 384.

$$\frac{504}{625}$$

Factor

$$\frac{7 \cdot 2 ^ {3} \cdot 3 ^ {2}}{5 ^ {4}} = 0.8064$$