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Addition is an operation in which one number is added to another number. For example, 1 + 2 = 3 (one plus two equals three).

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.

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

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 Path-o-Math Puzzles: 2 by 3Make 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 3Make 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 DecimalsEach worksheet has decimal numbers to add. Adding Decimals Path-o-Math Puzzles: 2 by 3Make 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 With the Same DenominatorAdd the fractions (they have the denominators). Adding Fractions With Different DenominatorsAdd the fractions (they have different denominators). Adding Fractions Path-o-Math Puzzles: 2 by 3Make 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

 Animal Arithmetic (with pictures)A Printable Activity BookA 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 BookA 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 CoinsA Printable Activity BookA 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 AdditionA Printable Activity BookA 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 AdditionA Printable Activity BookA 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 FarmPrintable BookA 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 BookA 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.

 Dinosaur Math-Code PuzzlesDo simple addition or subtraction problems and letter substitutions to answer dinosaur questions. (Grade 1 and 2).More math-code activities. Shark Math-Code PuzzlesThe student does simple math problems and then does letter substitutions to answer a shark question. (Grade 1) Whale Math-Code PuzzlesThe student does simple math problems and then does letter substitutions to answer a whale-related question. (Grade 1) St. Patrick's Day Addition Activity BookA 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 GameThis 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 GameThis 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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