Addition in Horizontal Method:

The horizontal method for addition involves arranging numbers side by side with a plus sign (+) in between. Instead of aligning the digits in columns, the addition is performed mentally or by breaking it down into place values step-by-step.

Example 1:

Add 34 and 28.
Solution:

• Write the numbers in a horizontal format: 34 + 28

• Break it into place values:
  • Add the ones in place: 4+8=12 (write 2, carry over 1 to the tens place) 
  • Add the tens place: 3+2=5,5+1=6
• Final solution: 34+28=62

Example 2:

Add 125 and 347.
Solution:

• Write the numbers in a horizontal format: 125+347
• Break it into place values:
  • Add the once places: 5+7=12 (write 2, carry over 1 to the tens place)
  • Add the tens place: 2+4=6,6+1=7
  • Add the hundreds place: 1+3=4
• Final Solution: 125+347=472

Example 3:

Add 413, 25, and 62.
Solution:

• Write the numbers in a horizontal format: 413+25+62
• Break it into place values:
  • Add the once places: 3+5+2=10 (write 0; carry over 1 to the tens place)
  • Add the tens place: 1+2+6=9,9+1=11=10 (write 0; carry over 1 to the hundred places) 
  • Add the hundreds place: 4+0+0=4,4+1=5
• Final Solution: 413+25+62=500

Why it matters:

Adding whole numbers is a fundamental math skill that helps solve everyday problems, from calculating expenses to measuring quantities. Mastering addition improves problem-solving, logical thinking, and mental math abilities.

By practicing addition with 2-digit numbers, you'll solve real-world problems quickly!

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