MULTIPLYING DECIMALS WORKSHEET

Problem 1 :

The side of a square is 3.2 cm. Find its perimeter.

Problem 2 :

The length of a rectangle is 6.3 cm and its breadth is 3.2 cm. What is the area of the rectangle?

Problem 3 :

Multiply 3.723 by 10.

Problem 4 :

Multiply 22.728 by 100.

Problem 5 :

Multiply 8.754 by 1000.

Problem 6 :

Multiply 3.723 by 10000.

Problem 7 :

Multiply 0.956 by 100.

Problem 8 :

Multiply 0.000023 by 1000.

Detailed Answer Key

Problem 1 :

The side of a square is 3.2 cm. Find its perimeter.

Solution :

All the sides of a square are equal.

Length of each side = 3.2 cm.

Perimeter of a square = 4 × side

Thus, perimeter = 4 × 3.2 = 12.8 cm.

Problem 2 :

The length of a rectangle is 6.3 cm and its breadth is 3.2 cm. What is the area of the rectangle?

Solution :

Length of the rectangle = 6.3 cm

Breadth of the rectangle = 3.2 cm.

Area of the rectangle = ( length) × (breath)

= 6.3 × 3.2

= 20.16 cm²

Problem 3 :

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. 

Then, 

3.723 x 10  =  37.23

Multiplying 3.723 by 10, we get 37.23

Problem 4 :

Multiply 22.728 by 100.

Solution :

We multiply by 22.728 by 100. So, we have to move the decimal point two digits to the right. 

Then,

22.728 x 100  =  2272.8

Multiplying 22.728 by 100, we get 2272.8

Problem 5 :

Multiply 8.754 by 1000.

Solution :

We multiply by 8.754 by 1000. So, we have to move the decimal point three digits to the right. 

Then,

8.754 x 1000  =  8754

Multiplying 8.754 by 1000, we get 8754.

Problem 6 :

Multiply 3.723 by 10000.

Solution :

We multiply by 3.723 by 10000. So, we have to move the decimal point four digits to the right.

But, in 3.723, we have only three digits after the decimal point. To have one more digit after the decimal point, we have to add one zero.  

Then, 

3.723 x 10000  =  37230

Multiplying 3.723 by 1000, we get 37230.

Problem 7 :

Multiply 0.956 by 100.

Solution :

We multiply by 0.956 by 100. So, we have to move the decimal point two digits to the right.

Then, 

0.956 x 100  =  95.6

Multiplying 0.956 by 100, we get 95.6.

Problem 8 :

Multiply 0.000023 by 1000.

Solution :

We multiply by 0.000023 by 1000. So, we have to move the decimal point three digits to the right.

Then, 

0.000023 x 1000  =  0.023

Multiplying 0.000023 by 1000, we get 0.023.

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