Add numbers using two digit .
Add numbers using two digit
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.

 

  • Students will understand that the tens place in a 1-digit number is implicitly zero, so only the ones place is added to the corresponding column.
  • Students will be able to recognize the structure of 2-digit and 1-digit numbers and understand how to add them together.
  • Students Add numbers fluently where regrouping (carrying over) is not needed.
  • Students will be able to recognize that carrying over from one’s place affects the tens place, reinforcing the importance of place value in arithmetic

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grade 3 (19)

Addition of two numbers:

Adding a 2-digit number and a 1-digit number involves adding a number in the tens place and one's place (the 2-digit number) with a number that only has one's place (the 1-digit number). The process starts by adding the ones digits first. If the result is more than 9, you regroup (carry over) the extra value to the tens place.

Step-by-Step Process:

  1. Align the numbers by place value (ones under ones, tens under tens).
  2. Add the one-place digits. If the sum is greater than 9, write down the one digit and carry over the tens digit to the next column.
  3. Add the tens place. If there is a carry-over from the one's place, add it to the tens digit of the 2-digit number.

Example 1:

Without regrouping, add numbers 34 and 5.

Solution:

  • Write the numbers aligned by place value: 34+5
  • Add the ones in place.
  • 4 + 5 = 9. Write 9 in one place.
  • Move to the tens place:
  • There's no number to add to 3, so bring down the 3.
  • Final solution: 34 + 5 = 39.

Example 2:

With Regrouping, Add 57 and 8.

Solution:

  • Write the numbers aligned by place value: 57+8
  • Add the ones in place:
    • 7 + 8 = 15. Write 5 in the one's place and carry over 1 to the tens place.
  • Move to the tens place:
    • 5 + 1 (carry-over) = 6.
  • Final solution: 57 + 8 = 65.

Example 3:

Lily has 46 apples, and her friend gives her 7 more apples. How many apples does Lily have in total?

Solution:

  • Write the numbers to add: 46 + 7
  • Add the ones in place:
    • 6 + 7 = 13. Write 3 in the one's place and carry over 1 to the tens place.
  • Move to the tens place:
    • 4 + 1 (carry-over) = 5.
  • Final solution: 46+7=53.

 


Why it matters:

Mastering 2-digit addition builds essential problem-solving skills and forms the foundation for more advanced math concepts.


By practicing with 2-digit addition, you'll be able to solve real-world problems quickly.

Let's practice and evaluate your work together by adding 2-digit numbers.

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