# DIVISION BY 10 100 AND 1000

## About "Division by 10 100 and 1000"

Division by 10 100 and 1000 :

It is observed that

37.2/10  =  3.72

37.2/100  =  0.372

37.2/1000  =  0.0372

From the above divisions, we can get the following shortcuts to get answer when we divide a number by 10, 100 and 1000.

(i)  When we divide 10, the decimal point is moved one digit to the left.

(ii)  When we divide 100, the decimal point is moved two digits to the left.

(iii)  When we divide 1000, the decimal point is moved three digits to the left.

## Division by 10 100 and 1000 - Practice problems

Problem 1 :

There are 16 pounds of cheese and it has to be equally shared into 10 people. How many pounds of cheese will each person receive ?

Solution :

Since we are going to share 16 pounds of cheese equally to 10 people, we have to divide 16 by 10 to know the share of each person.

So, let us divide 16 by 10.

Since there is no decimal point in 16, we have to assume that there is decimal point at the end.

We divide by 16 by 10. So, we have to move the decimal point one digit to the left.

16 ÷ 10  =  16/10  =  1.6

Hence, each person will receive 1.6 pounds of cheese.

Problem 2 :

If a person covers 156 miles in 100 minutes, find his speed in miles per minute.

Solution :

Given : 156 miles of distance covered in 100 minutes.

We all know the formula for speed.

That is,

Speed  =  Distance / Time

Speed  =  156 / 100

Since there is no decimal point in 156, we have to assume that there is decimal point at the end.

We divide by 156 by 100. So, we have to move the decimal point one digit to the left.

156 ÷ 100  =  156/100  =  1.56

Hence, his speed is 1.56 miles per minute.

Problem 3 :

A factory announced bonus of \$256889 to 1000 workers. If the bonus amount is shared equally among the 1000 workers, find the share of each worker.

Solution :

Since we are going to share \$256889 equally to 1000 people, we have to divide \$256889 by 1000 to know the share of each person.

So, let us divide 256889 by 10.

Since there is no decimal point in 256889, we have to assume that there is decimal point at the end.

We divide by 256889 by 1000. So, we have to move the decimal point one digit to the left.

256889 ÷ 1000  =  256889/1000  =  256.889

Hence, the share of each worker is \$256.889.

After having gone through the stuff given above, we hope that the students would have understood "Division by 10 100 and 1000".

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