Addition

Now Over 1,400 Problems!

The following addition worksheets are all new. For tutorials, and tips on counting, place values, learning addition, and tips on how to become a math champion see: Addition Tips and Tricks.

NOTE: For suggestions on using and scoring these worksheets go to the Teacher page.

For activities to help your learner get ready to add, please visit the Counting page. This includes worksheets for counting, writing numbers, beginning addition and beginning subtraction.

These worksheets have problems like ( 1 + 1 =) || ( 2 + 1 =) || ( 3 + 0 =) and end with ( 9 + 0 =) || ( 8 + 1 =) and other additions with sums less than 10.
Addition worksheets #1 #2 #3 #4
Answers to worksheets #1 #2 #3 #4

The following worksheets require the learner to add two single-digit whole numbers for sums of 10 or more…they progress in difficulty from problems such as ( 5 + 5 =) || ( 6 + 4 =) || ( 9 + 8 =) || ( 8 + 7 =) (no carrying required) see:
Addition worksheets #5 #6 #7
Answers worksheets #5 #6 #7

Here are some new addition word problems that use the same addition as the problems above.
Addition word problem worksheets #8 #9 #10
Answers to worksheets #8 #9 #10

These next worksheets help learners get ready to carry. The feature adding three single-digit numbers for two-digit sums.
Addition worksheets #11 #12
Answers to worksheets #11 and #12

The following worksheets require the learner to carry.

These worksheets progress sequentially from problems such as 11+9, 15+6, 23+9…94+8 see: Add a Two-Digit Whole Number to a Single-Digit Whole Number and Carry for Sum
Addition worksheets #13 #14 Test.
Answers to worksheets #13 and #14 and Test

These addition worksheets cover problems such as 22+17 and 45+38 see: Add Two-Digit Whole Numbers to Two-Digit Whole Numbers
Addition Worksheet #15 #16 #17 ***These are new worksheets on 2/20/01***

These worksheet require the learner to add one-digit whole numbers to three-digit whole numbers. The problems are similar to 132 + 9, 226 + 6 and 178 + 3
Addition Worksheets #18 #19

Introduction

The word addition is derived from a Latin word “additio”, which was used by an Italian mathematician, Leonardo Pisano Fibonacci and the sign of addition that is the “+” symbol first appeared in print in the year 1489 by Johann Widman. In modern mathematics, addition means a mathematical process that deals with putting things together. Whenever, you need to represent addition of certain things in a written form, use the “+” symbol. Addition is primarily a binary operation that deals with two objects simultaneously to give a result in another element of the same set.

“Terms” in addition

“Terms” in addition are the numbers or the objects that are added. They are also called the “addends” or the “summands”. The first number or the object that you add is called the “augend.” However, the term is no more in use during the present times due to the symmetry of addition.

Units

As far as units of addition are concerned, the first and foremost thing you should know is physical quantities of common units should be added. For instance, if you want to add 2 meters to 4 centimeters then it is better to convert either of the two quantities into a common unit. However, adding 8 meters to 4 square meters won’t yield any result as they are incomparable with each other.

Features of addition

• Addition is commutative, that means it will give the same result irrespective of the order. For instance, if you add 2 + 4, the result will be 6, however, if you change the order and add 4 + 2, the result will remain as 6. Therefore, addition provides the same result even if the orders are changed. This is also called “commutative law of addition”. However, just as addition is a binary operation, it is not necessary for all other binary operation to follow the same law. In fact, subtraction and multiplication does not follow the commutative law.
• Addition is associative as well – you can add more than two numbers. For instance, you add 2 + 3 + 4. The only thing you need to do is to add any of the two numbers and then add the result of it to the remaining one. You will get the appropriate result.
• Zero has a special relation to addition as when zero is added to a number, the quantity never changes because zero is always the identity element for addition. Therefore, it is also called additive identity.

Addition is truly one of the simplest numerical tasks in mathematics. Addition like 1+1 are so simple that even kids can perform it with ease. To help them further, there are various visual representations of addition as well. The primary stage of addition includes single digit addition in the decimal system. As children grow up, they learn how to handle tougher additions. Moreover, addition is used to solve numerous problems in physical science as well.