Looks hard but it is easy

The Mathematic Model is like this:

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

It is so simple just multiply all the fraction it will be:

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

Its easy if we multiply 1/2 * 2/3 it is 1/3 similarly 1/3 * 3/4 it is 1/4.......so on we can do this by keeping the numerator as one and changing the denominator so 1/10*1000=100 is in't that easy!!!!!!!!

Its too easy...first 9/10 of 1000 is 900 then 8/9 of 900=800;7/8of800=700..................2/3 of 300=200nd finally 1/2 of200 =100

Replacing $\boxed{of}$ with $\boxed{×}$

$\frac{1}{2} \times \frac{2}{3} \times \frac{3}{4} \times \cdots \cdots \frac{8}{9} \times \frac{9}{10} \times 1000$

We see that the fractions cancel out:

We are left with:

$\frac{1}{10} \times 1000$

Which equals $\boxed{100}$

It gets simple using the notation of factorial, thus, we've got:

(9!/10x9!)x1000

So, the result is 100

Starting from the last... 9/10 of 1000 becomes 900 A pattern is formed and at the end we have 1/2 of 200, i.e, 100

All the numerators and denominators of the given propee fractions cancel out out except $10$ . So, the answer is $\dfrac{1000}{10} = \color{#69047E}{\boxed{100}}$ .

Multiplying the fractions together gives

$\frac {1}{2} \cdot \frac {2}{3} \cdot \ldots \frac {9}{10} = \frac {9!}{10!}$

This expands out to give

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

From this everything except the 1 and 10 cancel out leaving

$\frac {1}{10}$

$\frac {1}{10} \cdot 1000 = 100$

The answer is $100$

\frac{1}{10}\times 1000=100

the problem is as easy as multiplying all the given...

9 i/10 i *1000 = 1/10 *1000 = 100