BrainEasier

$\dfrac{1}{\cancel{2}} \times \dfrac{\cancel{2}}{\cancel{3}} \times \dfrac{\cancel{3}}{\cancel{4}} \times \dfrac{\cancel{4}}{\cancel{5}} \times \dfrac{\cancel{5}}{\cancel{6}} \times \dfrac{\cancel{6}}{\cancel{7}} \times \dfrac{\cancel{7}}{\cancel{8}} \times \dfrac{\cancel{8}}{\cancel{9}} \times \dfrac{\cancel{9}}{10} \times 1000$

$\dfrac{1}{10} \times 1000 = \boxed{100}$

Denominatora and numerators cancek out leaving behind $\dfrac{1000}{10} = \color{#69047E}{\boxed{100}}$ .

(9!/10!) 1000= (1/10) 1000= 100

Converting the question into a multiplication problem:

$\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\times\frac{6}{7}\times\frac{7}{8}\times\frac{8}{9}\times\frac{9}{10}\times1000$

Notice that the numbers $2$ through $9$ are repeated in the numerators and denominators. This means that they can be crossed out, so that leaves:

$\frac{1}{10}\times1000$ ,

which equals $\boxed{100}$ .

It is asked to find
1/2 X 2/3 X 3/4 X 4/5 X 5/6 X 6/7 X 7/8 X 8/9 X 9/10 X 1000
Then all numbers will be canceled and the result would be.
1000/10=100

$\frac{1}{2}\frac{2}{3}\frac{3}{4}\frac{4}{5}\frac{5}{6}\frac{6}{7}\frac{7}{8}\frac{8}{9}\frac{9}{10}\times 1000 =\boxed{100}$