**Modeling decimal multiplication worksheets :**

Worksheets on modeling decimal multiplication are much useful to the students who would like to practice problems on multiplication.

1. Multiply 0.3 and 0.5

2. Multiply 3.2 and 2.1

3. Multiply 2.3 and 1.78

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

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

6. Multiply 3.723 by 100

7. Multiply 3.723 by 1000

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

9. 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.

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

**Problem 1 : **

Multiply 0.3 and 0.5.

**Solution :**

To multiply 0.3 and 0.5, let us consider decimal grids given below.

0.3 × 0.5 represents 0.3 of 0.5.

Shade 5 rows of the decimal grid in green color to represent 0.5

Shade 3 columns of the decimal grid in red color to represent 0.3

Now shade the common region of 0.5 and 0.3 in blue color.

In the common region of 0.5 and 0.3 in blue color, there are 15 squares.

This represents 15 hundredths or 0.15.

Therefore, 0.3 x 0.5 = 0.15

**Problem 2 : **

Multiply 3.2 and 2.1

**Solution :**

Let us use area model to multiply 3.2 and 2.1.

In this model, the large squares represent wholes, the small rectangles along the right and lower edges represent tenths, and the small squares at the lower right represent hundredths.

This model is 3 and 2 tenths units long, and 2 and 1 tenth units wide.

The area of the model is

**6 wholes + 7 tenths + 2 hundredths** sq. units

Therefore, 3.2 x 2.1 = 6.72

**Problem 3 : **

Multiply 2.3 and 1.78

**Solution :**

Imagine the given decimals as whole numbers.

Then, we have 23 and 178.

Now, multiply 23 and 178.

23 x 178 = 4094

In the first decimal 2.3, there is one digit after the decimal point and in 1.78, there are two digits after the decimal point.

So, we have

1 + 2 = 3

In the above result 4094, there must be 3 digits after the decimal.

Hence, 2.3 x 1.78 = 4.094

**Problem 4 :**

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 5 :**

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 6 :**

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 7 :**

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 8 :**

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 9 :**

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 10 :**

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 "Modeling decimal multiplication worksheets".

Apart from the stuff given above, if you want to know more about "Modeling decimal multiplication worksheets", please click here

Apart from "Modeling decimal multiplication worksheets", if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**