MULTIPLYING DECIMALS BY POWERS OF 10 WORKSHEET

Problem 1 :

Multiply 3.723 by 10.

Solution :

We multiply by 3.723 by 100. So, we have to move the decimal point two digits to the right. 

3.723 x 100  =  372.3

Multiplying 3.723 by 100, we get 372.3

Problem 3 :

Multiply 3.723 by 1000.

Problem 4 :

The price of a fruit is $3.52 per lb. Find the cost of 10 lbs. of fruits.

Problem 5 :

A person walks regularly in the morning. If the speed of his walking is 43.26 ft. per minute, Find the distance covered by him in  100 minutes.

Problem 6 :

One-thousandth of a certain number is 0.003. What is the number?.

Answers

Problem 1 :

Multiply 3.723 by 10.

Answer :

We multiply by 3.723 by 10. So, we have to move the decimal point one digit to the right. 

3.723 x 10  =  37.23

Multiplying 3.723 by 10, we get 37.23

Problem 2 :

Multiply 3.723 by 100.

Answer :

We multiply by 3.723 by 100. So, we have to move the decimal point two digits to the right. 

3.723 x 100  =  372.3

Multiplying 3.723 by 100, we get 372.3

Problem 3 :

Multiply 3.723 by 1000.

Answer :

We multiply by 3.723 by 1000. So, we have to move the decimal point two digits to the right. 

3.723 x 1000  =  3723

Multiplying 3.723 by 1000, we get 3723

Problem 4 :

The price of a fruit is $3.52 per lb. Find the cost of 10 lbs of fruits. 

Answer :

Given : Cost of 1 lb of fruit  =  $3.52

Then, the cost of 10 lbs of fruits is

=  10 x 3.52

We multiply by 3.52 by 10. So, we have to move the decimal point one digit to the right.

So, we get

=  35.2

So, the cost of 10 lbs of fruits is $35.2

Problem 5 :

A person walks regularly in the morning. If the speed of his walking is 43.26 ft per minute, Find the distance covered by him in  100 minutes. 

Answer :

Given : Speed is 43.26 ft per minute.

So, distance covered in one minute is 43.26 ft.

We all know the formula for distance. 

That is, 

Distance  =  Speed x Time

To know the distance covered in 100 minutes, we have to plug time  =  100 and the speed is 43.26

Distance  =  43.26 x 100 

We multiply by 43.26 by 100. So, we have to move the decimal point two digits to the right.

So, we get

Distance  =  4326 ft 

So, the distance covered by him in  100 minutes is 4326 ft.

Problem 6 :

One-thousandth of a certain number is 0.003. What is the number?

Answer :

Given : One-thousandth of a certain number is 0.003

Let "a" be the number.

Then, from the given information, we get

(1/1000) x a  =  0.003

Multiplying by 1000 on both sides, we get

a  =  0.003 x 1000

We multiply by 0.003 by 1000. So, we have to move the decimal point three digits to the right.

So, we get

a  =  3 

So, the the number is 3. 

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