Add one ,two and three Digit Numbers.

Standard: 3.NBT.A.2

Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

Learning Outcomes

Students will fluently add a 2-digit number to a 3-digit number (e.g., 45 + 378 = 423) by aligning digits correctly and carrying over when necessary.
Students will add two 2-digit numbers (e.g., 56 + 73 = 129) and accurately handle the carrying-over process for both the ones and tens places.
Students will successfully add two 3-digit numbers (e.g., 487 + 312 = 799), practicing regrouping in both the ones and tens places.
Students will be able to confidently apply addition to real-life scenarios and math problems involving sums of varying lengths.

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Definition Adding Numbers:

2-Digit Addition:

In 2-digit addition, both numbers consist of two digits (a number in the tens place and a number in the ones place). When adding 2-digit numbers, the addition process may involve regrouping (carrying over) if the sum in the ones or tens place is greater than 9.
Example: 45 + 32 = 77.

3-Digit Addition:

3-digit addition involves adding numbers that have a hundred, tens, and one's place. Similar to 2-digit addition, this process may require regrouping if the sum in any place value exceeds 9.
Example: 378 + 456 = 834.

Example 1:

Adding a 1-digit Number and a 2-digit Number: 7 + 25

Solution:

Align the numbers based on place value: 25+7.

Start with the one's place:
- 5 + 7 = 12. Write 2 in the one's place and carry over 1 to the tens place.
Add the tens place:
- 2 (from 25) + 1 (carry-over) = 3.
Final solution: 7 + 25 = 32.

Example 2:

Adding a 2-digit Number and a 3-digit Number: 45 + 378

Solution:

Align the numbers by place value: 378+45.
Start with the one place:
- 8 + 5 = 13. Write 3 in the one's place and carry over 1 to the tens place.
Move to the tens place:
- 7 + 4 = 11, and add the carry-over 1: 11 + 1 = 12. Write 2 in the tens place and carry over 1 to the hundreds place.
Add the hundreds place:
- 3 (from 378) + 1 (carry-over) = 4.
Final Solution: 45 + 378 = 423.

Example 3:

Adding Two 2-digit Numbers: 56 + 73.

Solution:

Align the numbers by place value: 56+73.
Add the ones in place:
- 6 + 3 = 9.
Add the tens place:
- 5 + 7 = 12. Write 2 in the tens place and carry over 1 to the hundreds.
Final solution: 56 + 73 = 129.