4 Ways to Solve 2-digit Addition

Did you know there are several ways in which you can solve 2-digit addition? Here are four of the most common ways students learn to solve 2-digit (and for that matter 3-digit) addition problems.

We’ll use 89 + 34  as our 2-digit addition example.

Break Apart

Here the student breaks apart the addition problems using place value.

break apart
 

89 breaks into 8 tens and 9 ones, 34 into 3 tens and 4 ones.

break apart
 

Then adding up the ones and the tens, it’s easier to solve the 2-digit addition.

break apart
 

Number Line

Using a number line, students can easily visualize the sum by using place values.

number line
 

Starting at the bigger number 89, we start with moving forward by 3 tens and then 4 ones.

number line
 

Vertical Addition

When you add vertically, you place the one number above the other, aligning the ones and the tens in columns.

vertical addition
 

By adding the numbers vertically, you add the ones first. 4 + 9 = 13, or 1 ten and 3 ones. Be careful to place the numbers in the correct columns.

vertical addition
 

Then add the tens. 8 + 3 = 11 tens, or 110 ones.

vertical addition
 

Now you have two new numbers to add 13 + 110 = 123. Add the ones first: 0 + 3 = 3, then the tens: 1 + 1 = 2, and, finally the hundreds: 0 + 1 = 1.

 

vertical addition
 

Algorithm

Placing the numbers vertically, using standard algorithm, you add the ones first, the tens second, in columns.

algorithm
 

When you add the ones, you get 13 ones, or 1 ten and 3 ones. You carry the 1 ten into the tens column.

algorithm
 

Then you add the tens. 1 + 8 + 3 = 12 tens, or 1 hundred and 2 tens. The 1 hundred carries across to the hundred column.

algorithm
 

There you have it. Four ways to solve 2-digit addition problems.
 

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