Question

how many are
hundred in 3705
​

Answer 1

Given:

The number 3705.

To find:

How many hundreds are there in 3705 ​= ?

Solution:

First hundred in 3705 is 100.

Next hundred is 200

Next hundred is 300

:

:

And the nearest hundred to 3705 in 3705 (i.e. lesser than 3705) is 3700.

$\therefore$ the hundreds are 100, 200, 300, .... , 3700

We can see that it is an Arithmetic progression.

With first term, a = 100

Common difference, d = 100

nth term, $a_n =$ 3700

Formula for nth term of an AP is given as:

$a_n=a+(n-1)d\\\Rightarrow 3700 = 100+(n-1)100\\\Rightarrow 37=1+n-1\\\Rightarrow \bold{n =37}$

Hence, the number of hundreds are 37.

OR

simply we can divided the number with 100 and the quotient will give us the number of hundreds in the number.

Quotient when 3705 is divided by 100 is: 37.

So, the answer is 37.