Addition Lesson-4

Partitioning for  Addition: 

Adding numbers is often easier if you split them into numbers that are easier to work with and then add them up in stages. This is called partitioning. There are a few different ways to do it.

1. Let’s add 46 and 37.

2. To help with the tricky numbers, we can put the numbers on a grid and label the columns to show their place values.

3. We start by adding the tens together and writing the answer to the right of the equals sign: 40 + 30 = 70

4. And next, we add the ones together: 6 + 7 = 13

5. Now it’s easy to recombine our two answers to get the total: 

70 + 13 = 83

6. By partitioning the numbers, we’ve found that 46 + 37 = 83

let's discuss another example: 346+537=?

1. Let add 346 and 537

2. To help with the tricky numbers, we can put the numbers on a grid and label the columns to show their place values.

3. We start by adding the hundreds together and writing the answer to the right of the equals sign: 

            300+500=800

4. next we add tens and write the answer to the right of the equals sign:

           40+30 = 70

5. next we add ones and write the answer to the right of the equals sign:

           6+7  = 13

6. Now it’s easy to recombine our two answers to get the total: 

           800+70+13=883

7. By partitioning the numbers, we’ve found that 346 + 537 = 883