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ADDITIVE IDENTITY:
The additive identity is the number zero because zero plus any number is equal to the original number. For example, 2 + 0 = 0 + 2 = 2.

COMMUTATIVE PROPERTY:
Addition is commutative, that is, a + b is equal to b + a. You can change the order of the terms and not change the outcome of the operation. For example, 3 + 4 = 4 + 3 = 7.

TIPS:
When adding a series of numbers, there are some strategies that help simplify the addition process. One thing to remember is to group numbers to make tens. For example, when adding 2 + 7 + 8, you can add the 2 and the eight first to get ten, and then add the seven to get 17. Some teachers call these groups of numbers that add to ten, "friendly tens," since they make adding easier for the student.

Another tip is to look for doubles, like 4 + 4 or 6 + 6, and add them first in a long addition problem. This is done because most children learn their doubles before they learn random pairs of addends. For example, when adding 6 + 7 + 6, you can first add the two sixes to get 12, and then add the seven to get 19.

ADDITIVE INVERSE:
The inverse property of addition states that for every number a, a + (-a) = 0 (zero). For example, 6 + (-6) = 0.

Adding:
In addition, you start on the right (the ones column). Then add each column in turn until you are done (add the ones column, the tens column, the hundreds column, etc.).

Carrying:
In a column, if the number you get after adding the column is greater than ten, you have to carry that ten's digit to the next column on the left. When you add that next column, you add in that carried digit.

Addition Worksheets:

Generate Printable Addition Worksheets: One Digit + One Digit You can generate printable addition worksheets (one page of questions and one page of answers) with 8, 10 or 12 problems. Every time you click, you get a new worksheet, with a new set of questions and answers.	Generate Printable Addition Worksheets: One Digit + One Digit + One Digit You can generate printable addition worksheets (one page of questions and one page of answers) with 8, 10 or 12 problems. Every time you click, you get a new worksheet, with a new set of questions and answers. For subscribers only.	Generate Printable Addition Worksheets: One Digit + One Digit, Vertical Format You can generate printable addition worksheets (one page of questions and one page of answers) with 16 or 20 problems. Every time you click, you get a new worksheet, with a new set of questions and answers. For subscribers only.
Generate Printable Addition Worksheets: Two Digit + Two Digit, Vertical Format You can generate printable addition worksheets (one page of questions and one page of answers) with 20 problems; choose addends up to 20 or up to 99. Every time you click, you get a new worksheet, with a new set of questions and answers. For subscribers only.	Generate Printable Addition Worksheets: Three Digit + Three Digit, Vertical Format You can generate printable addition worksheets (one page of questions and one page of answers) with 16 problems; choose addends up to 200 or up to 999. Every time you click, you get a new worksheet, with a new set of questions and answers. For subscribers only.

Adding Groups of Cubes Add two groups of cubes. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Adding Groups of Items Add two groups of objects, including stars, triangles, octagons, etc. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Add Groups of Items Printable Worksheet Add the groups of common items and write the answers.	Dinosaur Math Coloring Activities Do simple addition problems to color a dinosaur scene. For beginning readers in grades 1 and 2.
2, 4, 6, 8, 10, ... Skip Counting Printables Skip counting is good addition practice and a great introduction to multiplication. Count by 2s, 3s, s, and so on in these worksheets.	Printable Set of Addition Dominoes Print a set of subtraction dominoes; each tile has addition problems on it (for example, 0 + 5). The numbers from zero to six are used in the addition problems and the answers are the numbers from zero to six. In this game the student matches the answers of addition problems.	Printable Set of Addition Dominoes #2 Print a set of addition dominoes; each tile has addition problems on it (for example, 4 + 7). The numbers from one to nine are used in the addition problems and the answers are the numbers from seven to thirteen. In this game the student matches the answers of addition problems.	3 + 4 = Adding Strings of 2 Numbers Add horizontal strings of two numbers. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
2 + 4 + 6 = Adding Strings of 3 Numbers Add horizontal strings of three numbers. Tip: add groups that sum to ten first. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	2 + 4 + 6 + 3 = Adding Strings of 4 Numbers Add horizontal strings of four numbers. Tip: add groups that sum to ten first. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	8 + 5 + 8 + 1 + 1 = Adding Strings of Many Numbers Add horizontal strings of four numbers. Tip: add groups that sum to ten first. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Addition Follow-the-Arrows Puzzles Do addition problems along the paths according to the arrows until you get to the end. You should get to the same final answer three different ways. Puzzle #1, or the answers Puzzle #2, or the answers Puzzle #3, or the answers Puzzle #4, or the answers Puzzle #5, or the answers
Addition Chart Write many equations in which a+b=c, like 3+1=4.	Add, then Decode the Secret Messages In these theme-based addition puzzles, the student solves addition problems, then use an alphabet code to decode a secret message.	Word Problems: Adding 2 Numbers Draw a picture to help you solve each problem. Worksheet #1. Worksheet #2. Worksheet #3. Worksheet #4.	Word Problems: Adding 3 Numbers Draw a picture to help you solve each problem. Worksheet #1a. Worksheet #2a. Worksheet #3a. Worksheet #4a.
Many Ways of Expressing Numbers Math Graphic Organizers 10 graphic organizers to use to express numbers in different ways, from "2 Ways to Make 2" to "10 Ways to Make 10."	1 Digit Plus 1 Digit Add two one-digit numbers in a grid. Grid in order from 0 to 10. --- Go to the answers. Grid in Random Order (0 through 10). --- Go to the answers.	1 Digit Plus 1 Digit Add two one-digit numbers - vertical orientation. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	2 Digits Plus 1 Digit Add a two-digit number plus a one-digit number - vertical orientation. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
2 Digits Plus 2 Digits Add a two-digit number plus a two-digit number - vertical orientation. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	3 Digits Plus 2 Digits Add a three-digit number plus a two-digit number - vertical orientation. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	3 Digits Plus 3 Digits Add a three-digit number plus a three-digit number - vertical orientation. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Addition: Find the Missing Digit 1 Digit Plus 1 Digit Find the missing digit in addition problems (adding one digit plus one digit numbers). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
Addition: Find the Missing Digit 2 Digits Plus 1 Digit Find the missing digit in addition problems (adding two digit plus one digit numbers). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Addition: Find the Missing Digit 2 Digits Plus 2 Digits Find the missing digit in addition problems (adding two digit plus two digit numbers). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Addition: Find the Missing Digit 3 Digits Plus 1 Digit Find the missing digit in addition problems (adding three digit plus one digit numbers). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.	Addition: Find the Missing Digit 3 Digits Plus 2 Digits Find the missing digit in addition problems (adding three digit plus two digit numbers). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.
Addition: Find the Missing Digit 3 Digits Plus 3 Digits Find the missing digit in addition problems (adding three digit plus two digit numbers). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.

Addition Puzzles:

Addition Path-o-Math Puzzles: 2 by 3 Make a path through each number matrix so that the sum of the numbers is equal to the given answer. Use only horizontal and vertical trails. You may not have to use all the numbers, and don't use a number more than once. Puzzle #1, or the answers Puzzle #2, or the answers Puzzle #3, or the answers Puzzle #4, or the answers Puzzle #5, or the answers

Addition Path-o-Math Puzzles: 3 by 3 Make a path through each number matrix so that the sum of the numbers is equal to the given answer. Use only horizontal and vertical trails. You may not have to use all the numbers, and don't use a number more than once. Puzzle #1, or the answers Puzzle #2, or the answers Puzzle #3, or the answers Puzzle #4, or the answers Puzzle #5, or the answers

Adding Decimals:

Adding Decimals Each worksheet has decimal numbers to add. Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.

Adding Decimals Path-o-Math Puzzles: 2 by 3 Make a path through each number matrix so that the sum of the decimals is equal to the given answer. Use only horizontal and vertical trails. You may not have to use all the numbers, and don't use a number more than once. Puzzle #1, or the answers Puzzle #2, or the answers Puzzle #3, or the answers Puzzle #4, or the answers Puzzle #5, or the answers

Adding Fractions:

Adding Fractions With the Same Denominator Add the fractions (they have the denominators). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.

Adding Fractions With Different Denominators Add the fractions (they have different denominators). Worksheet #1 --- Go to the answers. Worksheet #2 --- Go to the answers. Worksheet #3 --- Go to the answers.

Adding Fractions Path-o-Math Puzzles: 2 by 3 Make a path through each number matrix so that the sum of the fractions is equal to the given answer. Use only horizontal and vertical trails. You may not have to use all the numbers, and don't use a number more than once. Puzzle #1, or the answers Puzzle #2, or the answers Puzzle #3, or the answers Puzzle #4, or the answers Puzzle #5, or the answers

Printable Addition Books:

Animal Arithmetic (with pictures) A Printable Activity Book A short, printable book about addition for early readers. The book has pages for the student to cut out, questions to read, pictures to help solve the questions (like, "How many legs do 2 ladybugs have?"), and objects to count. The pages include: tiger tails, eagle eyes, toad tongues, bird beaks, wasp wings, fox feet, snail shells, elephant ears, shark snouts, ladybug legs, antelope antlers, ant antennae, and moose mouths.

Animal Arithmetic (no pictures) A Printable Activity Book A short, printable book about addition for early readers. The book has pages for the student to cut out, questions to read, pictures to draw in order to solve the questions (like, "How many paws do 3 cats have?"), and objects to count. The pages include: bird wings, elephant trunks, dog eyes, spider legs, monkey tails, rabbit ears, octopus arms, bull horns, people toes, cat paws, and frog mouths.

Counting Coins A Printable Activity Book A short, printable book about coins for early readers. Color and count the pennies, nickels, dimes, and quarters, then tally up what they are worth.

Firefighting Addition A Printable Activity Book A short, printable book about addition. This activity book asks the student to solve simple addition problems stated in terms of firefighting words, including firetrucks, firefighters, axes, helmets, dogs, hoses, hydrants, boots, and fires put out.

Piñata Addition A Printable Activity Book A short, printable book about addition. This activity book asks the student to solve simple addition problems stated in terms of candies, including lollipops, candy bars, gumdrops, candy corn, jelly beans, caramels, mints, chocolate bars, and licorice sticks.

Pumpkin Patch Perimeters: All Around the Farm Printable Book A short, printable book about perimeters, using pumpkin patch terms, including the perimeters of a pumpkin patch, chicken coop, pigpen, corn field, goat pen, horse corral, barnyard, and vegetable garden.

St. Patrick's Day Addition Activity Book A St. Patrick's Day addition activity book in which the readers solves a series of addition problems and then does a letter substitution in order to answer St. Patrick's Day questions.

Adding US Coins:

Adding Pennies Add up the pennies in these printouts: Adding Pennies: Printout #1 Adding Pennies: Printout #2 Adding Pennies: Printout #3 Adding Pennies: Printout #4 Adding Pennies: Printout #5 Adding Pennies: Printout #6	Adding Nickels Add up the nickels in these printout: Adding Nickels: Printout #1 Adding Nickels: Printout #2 Adding Nickels: Printout #3 Adding Nickels: Printout #4 Adding Nickels: Printout #5 Adding Nickels: Printout #6	Adding Dimes Add up the dimes in these printout2: Adding Dimes #1 Printout Adding Dimes #2 Printout Adding Dimes #3 Printout Adding Dimes #4 Printout Adding Dimes #5 Printout Adding Dimes #6 Printout
Adding Quarters Add up the quarters in these printouts: Adding Quarters #1 Adding Quarters #2 Adding Quarters #3 Adding Quarters #4 Adding Quarters #5 Adding Quarters #6	Make a Dollar with Coins Find 10 ways of making a dollar with coins.

Math-Code Addition Puzzles:

Dinosaur Math-Code Puzzles Do simple addition or subtraction problems and letter substitutions to answer dinosaur questions. (Grade 1 and 2). More math-code activities.

Shark Math-Code Puzzles The student does simple math problems and then does letter substitutions to answer a shark question. (Grade 1)

Whale Math-Code Puzzles The student does simple math problems and then does letter substitutions to answer a whale-related question. (Grade 1)

St. Patrick's Day Addition Activity Book A St. Patrick's Day addition activity book in which the readers solves a series of addition problems and then does a letter substitution in order to answer St. Patrick's Day questions.

File Folder Games on Adding Numbers:

Add the Numbers #1: File Folder Game This is a simple game that can be made from a manila file folder. In this game, the student adds two one-digit numbers, and then checks the answer by opening a paper window under the math problem. This is an activity that stores easily!

Add the Numbers #2: File Folder Game This is a simple game that can be made from a manila file folder. In this game, the student adds two one-digit numbers, and then checks the answer by opening a paper window under the math problem. This is an activity that stores easily!

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