Lutasin ang (0.25)(0.25-1)(0.125+1)(0.25-2)(0.25+2)(1.44)/120

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

I-evaluate

$$0.009966796875$$

Mga Hakbang ng Solution

I-subtract ang 1 mula sa 0.25 para makuha ang -0.75.

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

I-multiply ang 0.25 at -0.75 para makuha ang -0.1875.

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

Idagdag ang 0.125 at 1 para makuha ang 1.125.

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

I-multiply ang -0.1875 at 1.125 para makuha ang -0.2109375.

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

I-subtract ang 2 mula sa 0.25 para makuha ang -1.75.

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

I-multiply ang -0.2109375 at -1.75 para makuha ang 0.369140625.

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

Idagdag ang 0.25 at 2 para makuha ang 2.25.

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

I-multiply ang 0.369140625 at 2.25 para makuha ang 0.83056640625.

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

I-multiply ang 0.83056640625 at 1.44 para makuha ang 1.196015625.

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

I-expand ang \frac{1.196015625}{120} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 1000000000.

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

Bawasan ang fraction \frac{1196015625}{120000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 234375.

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

I-factor

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