use __ to understand mulit- digit addtion

3 answers

To understand multi-digit addition, you can use the following steps:

  1. Align the Numbers: Write the numbers you want to add vertically, aligning them by their place values (ones, tens, hundreds, etc.).

    Example:

      256
    + 347
    
  2. Add from Right to Left: Start adding the numbers from the rightmost column (the ones place) and move to the left.

  3. Carrying Over: If the sum of a column is 10 or greater, carry over the extra value to the next column to the left.

  4. Sum Each Column: Write down the sum for each column, including any carried value.

Example Problem

Let's solve the addition of 256 and 347 using these steps.

  256
+ 347
------
  1. Ones Place: 6 + 7 = 13. Write down 3 and carry over 1.

    (carry 1)
      256
    + 347
    ------
        3
    
  2. Tens Place: 5 + 4 = 9, then add the carry-over 1: 9 + 1 = 10. Write down 0 and carry over 1.

    (carry 1)
      256
    + 347
    ------
       03
    
  3. Hundreds Place: 2 + 3 = 5, then add the carry-over 1: 5 + 1 = 6.

    (carry 0)
      256
    + 347
    ------
     603
    
  4. Final Sum: The total is 603.

Using this method allows you to systematically add multi-digit numbers without skipping steps or making errors.

whats this method called

The method I described for adding multi-digit numbers is commonly referred to as column addition or traditional addition. It involves aligning numbers by their place values and adding them from right to left, carrying over any values as necessary. This method is widely used in arithmetic and is often taught in elementary mathematics to help students understand the concept of addition with larger numbers.