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Addition Algorithm – Neat Notebook

Imagine you have some candies, and your friend gives you some more. How many candies do you have now in total? That’s what we call addition!

Addition is like putting together or combining two groups of things, like candies, toys, or even numbers. When you add, you find out how many things there are in total. For example, if you have 5 candies and your friend gives you 3 more, you have 5 + 3 = 8 candies in total.

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Addition is a very useful tool for counting and solving many everyday problems, like finding out how much money you have saved, or how far you have traveled. So, it’s an important skill to learn and have fun with!

We’re going to use our Neat Notebooks to find at least FOUR different algorithms for adding two numbers together! Maybe you can be creative and find some different algorithms or even add three different numbers or add skittles instead of just add on paper? Just be sure to explore and have fun.


  • Addend: a number that is added to another number in an addition problem. For example, in 3 + 4 = 7, 3 and 4 are addends.
  • Sum: the answer to an addition problem. For example, in 3 + 4 = 7, 7 is the sum.
  • Commutative Property: when you can add numbers in any order and get the same sum. For example, 2 + 3 = 3 + 2.
  • Place Value: the value of a digit in a number, depending on where it is located. For example, in the number 123, the 1 is in the hundreds place, the 2 is in the tens place, and the 3 is in the ones place.
  • Sum Strips: a visual aid used to help students understand the concept of addition. They consist of strips with different colors representing different numbers.
  • Equation: a statement that two things are equal. For example, 5 + 3 = 8 is an equation.
  • Expression: a combination of numbers, variables, and operations. For example, 4 + 2x is an expression.
  • Algorithm: a step-by-step process for solving a problem. For example, the standard algorithm for addition involves lining up the numbers and adding each column from right to left.
  • Digits: the symbols used to represent numbers. The digits from 0 to 9 are used to create all other numbers.
  • Skip Counting: counting by a certain number other than 1. For example, counting by 2s (2, 4, 6, 8, etc.) or counting by 10s (10, 20, 30, 40, etc.).
  • Number Line: a visual representation of numbers, where each number is placed at a point on a line.
  • Addition: a math operation where two or more numbers are combined to find the sum. For example, 3 + 4 = 7.

Watch the video to learn how to learn about addition algorithms!

Next time you can lead one yourself!

All you have to do is draw the vertical and horizontal lines across your paper, draw the addition operators.

Finally, ask everyone to choose two addends or numbers that you’ll add together in four different ways.

In the decimal system, each digit in a number has a specific place value based on its position in the number. The place values are as follows, from right to left:

  1. Ones (1’s place)
  2. Tens (10’s place)
  3. Hundreds (100’s place)
  4. Thousands (1,000’s place)
  5. Ten Thousand (10,000’s place)
  6. Hundred Thousand (100,000’s place)
  7. Millions (1,000,000’s place)
  8. Ten Million (10,000,000’s place)
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And so on, each place value is ten times larger than the place value to its right. These place values can be used to represent very large or very small numbers in a compact form, such as using scientific notation.

Here are some great juvenile books that can help introduce children to the concept of addition:

  1. “The Doorbell Rang” by Pat Hutchins
  2. “The Giving Tree” by Shel Silverstein
  3. “One is a Snail, Ten is a Crab” by June Crebbin
  4. “Anno’s Magic Seeds” by Mitsumasa Anno
  5. “Ten Little Fingers and Ten Little Toes” by Mem Fox
  6. “The Berenstain Bears Learn About Numbers” by Stan and Jan Berenstain
  7. “A Remainder of One” by Elinor J. Pinczes
  8. “Chicka Chicka 1, 2, 3” by Bill Martin Jr.
  9. “The Best Gum in the World” by Stuart J. Murphy
  10. “How Many?” by Craig Hatkoff and Jeff Goldstein

These books are not only fun to read, but also use engaging stories and illustrations to teach children about addition in a way that is accessible and memorable.