# Thousandths Place in Decimals

When we write a decimal number with three places, we are representing the thousandths place. Each part in the given figure represents one-thousandth of the whole.

Look at the given figure, which is divide into 100 equal parts, Each part is further divided into 10 equal parts, i.e., a square is divided into 1000 parts and out of it, 1 part is shaded.  We say $$\frac{1}{1000}$$ part is shaded.

It is written as $$\frac{1}{1000}$$. In the decimal form it is written as 0.001. It is read as 'zero point zero zero one' or 'one thousandth'.

If we take 9 parts out of 1000 equal parts of an object, then 9 parts make 9/1000 of the whole and it is written as 0.009

Let us represent $$\frac{125}{1000}$$.

In the given figure 125 parts of 1000 equal parts are colored. We write this as 0.125 in decimal form, where 1 represents 1 tenths, 2 represents 2 hundredths and 5 represents 5 thousandths. So, in the place-value chart 1 is written in the tenths column, 2 is written in the hundredth column and 5 is written in the thousandth column.

Similarly, we write We can also write, $$\frac{47}{1000}$$, $$\frac{187}{1000}$$, $$\frac{897}{1000}$$ as 0.047, 0.187 and 0.897 respectively.

We can also write, $$\frac{4653}{1000}$$ = 4.653, $$\frac{57025}{1000}$$ = 57.025 and so on.

From the above discussion, we observe that a fraction in the form $$\frac{\textrm{number}}}{1000}$$ is written as a decimal obtained by putting decimal point to the left of three right-most digits. If the number is short of digits, we insert zeros to the left of the number.
Decimal Places

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