Addition

Concept sheet | Mathematics
Definition

Addition is the operation of adding one quantity (or several quantities) to another. The numbers that make up the addition are called terms.

The sum is the result of the operation.

Important!

Regrouping

When a ten is obtained after adding 2 digits, place the ones digit of the result below the line, and regroup the ten above the digit in the tens position of the addition. Add the regrouped ten at the same time as the next number.
 

 1
   19
+ 15
   34

|9 + 5| equals |14|. Place the |4| below the line and regroup the |1| above the digit in the tens position of the addition. Then, we add 1 + 1 +1 (which equals |3|). So the answer is 34.

Words that Signal that an Addition is Required in a Word Problem

The following words are used to indicate an addition in a word problem.

Words

Example

Calculation

Sum

What is the sum of |4| and |8?|

|4 + 8|

Add 

We add |2| to |10.|

|10+2|

Increase 

The number of students in the school increased by |100.|

|+100|

Rise

 During the last 5 years, the sea level has risen |2| m.    

|+2|

Profit

A company made a profit of $|10\ 000|.

|+10\ 000|

Climb

A person climbed |15| floors in the building.

|+15|

Ascend

The plane ascended |100| m.

|+100|