1. Unitary method

2. Introduction
Finding the value of one unit and then using it to find the value of the required number of units is known as Unitary Method
The Unitary method focuses on the “UNIT” which means one.
Key : “Knowing for 1”

3. More units to 1 unit – Divide 1 units to more units – Multiply
Steps involved in Unitary method
Express the problem in Mathematical Statement
Find the value of one unit of the given item using Division
Find the value of the required number of the same items using Multiplication
More units to 1 unit – Divide
1 units to more units – Multiply

4. Example 1: The costs of 8kg of rice is Rs. 104
Example 1: The costs of 8kg of rice is Rs What is the costs of 6kg of rice?
Solution: We can solve using unitary method,
Step 1: Express in Mathematical statement
Costs of 8 kg rice = Rs. 104
Step 2: Finding the value of one unit using division
Cost of 1 kg rice =
Step 3: Finding the value of 6kg rice using multiplication.
Costs of 6kg rice = 13 x 6 = Rs 78
Hence, the costs of 6 kg rice is Rs.78

5. Example 2: If a person reads 60 pages of a book in 4 hours, how many pages will he read in 7 hours at the same speed?
Solution: We can solve using unitary method,
Step 1: Express in Mathematical statement
Number of pages read in 4 hours = 60
Step 2: Finding the value of one unit using division
Number of pages read in 1 hour =
Step 3: Finding the value of pages read in 7 hours using multiplication.
Number of pages read in 7 hours = 15 x 7 = 105
Hence, Number of pages read in 7 hours is 105

6. Example 3: A bus travel 360 km in 8 hour with constant speed.
How much distance it travels in 3 hour.
Solution: We can solve using unitary method,
Step 1: Express in Mathematical statement
Bus travel in 8 hours = 360km
Step 2: Finding the value of one unit using division
Bus travel in 1 hour =
Step 3: Finding the value of bus travel in 3 hours using multiplication.
Bus travel in 3 hours = 45 x 3 = 135
Hence, Bus travel in 3 hours is 135

7. Try These
A car travels 48kms 6 hours. How long will the car travel to cover a distance of 24kms?