Solve (0.25)(0.25-1)(0.125+1)(0.25-2)(0.25+2)(1.44)/120

$$\frac { ( 0.25 ) ( 0.25 - 1 ) ( 0.125 + 1 ) ( 0.25 - 2 ) ( 0.25 + 2 ) ( 1.44 ) } { 120 }$$

Evaluate

$$0.009966796875$$

Solution Steps

Subtract 1 from 0.25 to get -0.75.

$$\frac{0.25\left(-0.75\right)\left(0.125+1\right)\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Multiply 0.25 and -0.75 to get -0.1875.

$$\frac{-0.1875\left(0.125+1\right)\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Add 0.125 and 1 to get 1.125.

$$\frac{-0.1875\times 1.125\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Multiply -0.1875 and 1.125 to get -0.2109375.

$$\frac{-0.2109375\left(0.25-2\right)\left(0.25+2\right)\times 1.44}{120}$$

Subtract 2 from 0.25 to get -1.75.

$$\frac{-0.2109375\left(-1.75\right)\left(0.25+2\right)\times 1.44}{120}$$

Multiply -0.2109375 and -1.75 to get 0.369140625.

$$\frac{0.369140625\left(0.25+2\right)\times 1.44}{120}$$

Add 0.25 and 2 to get 2.25.

$$\frac{0.369140625\times 2.25\times 1.44}{120}$$

Multiply 0.369140625 and 2.25 to get 0.83056640625.

$$\frac{0.83056640625\times 1.44}{120}$$

Multiply 0.83056640625 and 1.44 to get 1.196015625.

$$\frac{1.196015625}{120}$$

Expand \frac{1.196015625}{120} by multiplying both numerator and the denominator by 1000000000.

$$\frac{1196015625}{120000000000}$$

Reduce the fraction \frac{1196015625}{120000000000} to lowest terms by extracting and canceling out 234375.

$$\frac{5103}{512000}$$

Factor

$$\frac{7 \cdot 3 ^ {6}}{2 ^ {12} \cdot 5 ^ {3}} = 0.009966796875$$