Addition up to 99

 Adding two-digit numbers  is simpler. Here’s an example:

Let’s add 23 and 45.

1. Write the numbers one below the other, aligning the digits by place value:


                        23
                   +  45
                     _____

2. Add the digits in the units place (rightmost digits):
– The digits are 3 and 5.
– 3 + 5 = 8.
– Write down 8 in the units place.


                           23
                       +  45
                       ______
                             8

3. Add the digits in the tens place:
– The digits are 2 and 4.
– 2 + 4 = 6.
– Write down 6 in the tens place.

“`
                            23
                        + 45
                          ____
                           68

So, 23 + 45 = 68.

Here’s the breakdown:

– Units place: 3 + 5 = 8. Write down 8.
– Tens place: 2 + 4 = 6. Write down 6.

Therefore, the sum of 23 and 45 is 68.

Regrouping

 Regrouping (also known as carrying) is a method used in addition when the sum of the digits in one place value column exceeds 9. Here’s a simple way to explain this to a first-grade student, using an example:

 Example: Adding 27 and 38

1. Write the numbers one below the other, aligning the digits by place value:


                                        27
                                      +38
                                 _________

2. Add the digits in the units place (rightmost digits):
– The digits are 7 and 8.
– 7 + 8 = 15.
– Write down the 5 in the units place and carry over the 1 to the tens place.


                                                        27
                                                    +  38                                                                                                                                                                                                                                                             ___________

                                                         5 (carry 1)

3. Add the digits in the tens place along with the carryover:

– The digits are 2 and 3, with a carryover of 1.
– 2 + 3 + 1 = 6.
– Write down 6 in the tens place.

`
                                                  27
                                                 38
                                            _______
                                                 65

So, 27 + 38 = 65.

Simple Explanation :

1. Line up the numbers:
– Write them so the tens and units digits are in columns.

2. Add the units digits:
– First, add the numbers in the units place.
– If the sum is 10 or more, remember to carry over.

3. Carry over:
– If the sum of the units place is more than 9, keep the units digit and carry over the tens digit to the next column.

4. Add the tens digits:
– Add the tens digits along with any number you’ve carried over.

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