Multiplication of 2.3 × 1.4

Step 1: Ignore the decimal points

   23
×  14
------
   92   (23 × 4)
+ 230   (23 × 10)
------
  322

Step 2: Count decimal places

2.3 has 1 decimal place
1.4 has 1 decimal place
Total decimal places = 2

Final Answer:

2.3 × 1.4 = 3.22

Multiplication of 5.6 × 3.2

Step 1: Ignore the decimal points

   56
×  32
------
  112   (56 × 2)
+1680   (56 × 30)
------
 1792

Step 2: Count decimal places

5.6 has 1 decimal place
3.2 has 1 decimal place
Total decimal places = 2

Final Answer:

5.6 × 3.2 = 17.92

Word Problem on Decimal Multiplication

Question:
Latha purchased a churidhar material of 3.75 m at the rate of ₹ 62.50 per metre. Find the amount to be paid.

Step 1: Write the Formula

Total Amount = Length × Rate per metre

= 3.75 × 62.50

Step 2: Remove the Decimal Points and Multiply

   375
× 6250
--------
  0000
 18750
225000
1875000
--------
2343750

Step 3: Count Decimal Places

3.75 has 2 decimal places
62.50 has 2 decimal places
Total decimal places = 4

So, 3.75 × 62.50 = 234.3750

Step 4: Write in Money Form (2 Decimal Places)

Final Answer: ₹ 234.38

Area of a Rectangle

Question:
The length and breadth of a rectangle are 23.5 cm and 1.5 cm respectively. Find the area of the rectangle.

Step 1: Write the Formula

Area of Rectangle = Length × Breadth

= 23.5 × 1.5

Step 2: Multiply (Ignore Decimal First)

   235
×   15
-------
  1175
+2350
-------
  3525

Step 3: Put the Decimal Point

23.5 has 1 decimal place
1.5 has 1 decimal place
Total decimal places = 2

So, 23.5 × 1.5 = 35.25

Step 4: Final Answer

Area = 35.25 cm²

Diagram:

        23.5 cm
   -------------------
   |                 |
   |                 |  1.5 cm
   |                 |
   -------------------