**Multiplying decimals by powers of 10 worksheet :**

Worksheet on multiplying decimals by powers of 10 is much useful to the students who would like to practice problems on decimals.

1. Multiply 3.723 by 10

2. Multiply 3.723 by 100

3. Multiply 3.723 by 1000

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

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.

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

**Problem 1 :**

Multiply 3.723 by 10

**Solution :**

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

**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

**Solution :**

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.

**Solution :**

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

Hence, 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.

**Solution :**

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

Hence, 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?

**Solution :**

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

Hence, the the number is 3.

After having gone through the stuff given above, we hope that the students would have understood "Multiplying decimals by powers of 10 worksheet".

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