Solve (0.25)(0.25-1)(0.25+1)(0.25-2)(025+2)(144)/120

$$\frac { ( 0.25 ) ( 0.25 - 1 ) ( 0.25 + 1 ) ( 0.25 - 2 ) ( 025 + 2 ) ( 144 ) } { 120 }$$

Evaluate

$$0.984375$$

Solution Steps

Subtract 1 from 0.25 to get -0.75.

$$\frac{0.25\left(-0.75\right)\left(0.25+1\right)\left(0.25-2\right)\left(0\times 25+2\right)\times 144}{120}$$

Multiply 0.25 and -0.75 to get -0.1875.

$$\frac{-0.1875\left(0.25+1\right)\left(0.25-2\right)\left(0\times 25+2\right)\times 144}{120}$$

Add 0.25 and 1 to get 1.25.

$$\frac{-0.1875\times 1.25\left(0.25-2\right)\left(0\times 25+2\right)\times 144}{120}$$

Multiply -0.1875 and 1.25 to get -0.234375.

$$\frac{-0.234375\left(0.25-2\right)\left(0\times 25+2\right)\times 144}{120}$$

Subtract 2 from 0.25 to get -1.75.

$$\frac{-0.234375\left(-1.75\right)\left(0\times 25+2\right)\times 144}{120}$$

Multiply -0.234375 and -1.75 to get 0.41015625.

$$\frac{0.41015625\left(0\times 25+2\right)\times 144}{120}$$

Multiply 0 and 25 to get 0.

$$\frac{0.41015625\left(0+2\right)\times 144}{120}$$

Add 0 and 2 to get 2.

$$\frac{0.41015625\times 2\times 144}{120}$$

Multiply 0.41015625 and 2 to get 0.8203125.

$$\frac{0.8203125\times 144}{120}$$

Multiply 0.8203125 and 144 to get 118.125.

$$\frac{118.125}{120}$$

Expand \frac{118.125}{120} by multiplying both numerator and the denominator by 1000.

$$\frac{118125}{120000}$$

Reduce the fraction \frac{118125}{120000} to lowest terms by extracting and canceling out 1875.

$$\frac{63}{64}$$

Factor

$$\frac{7 \cdot 3 ^ {2}}{2 ^ {6}} = 0.984375$$