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Multiplication Algorithms – Neat Notebook

Let’s try to imagine what multiplication is if you are ten years old!!

If you’re ten years old and wondering what multiplication is, let me try to explain it in a way that is easy to understand.

Multiplication is a way of combining numbers to get a bigger number. It’s like adding the same number over and over again.

For example, if you have 3 apples and you want to know how many apples you will have if you get 4 more apples, you can use multiplication.

You would multiply 3 (the number of apples you already have) by 4 (the number of apples you are getting) to get 12 (the total number of apples you will have). So, 3 x 4 = 12.

You can also think of multiplication as counting groups of things. For example, if you have 4 boxes and each box has 6 cookies, you can use multiplication to find out how many cookies you have in total.

You would multiply 4 (the number of boxes) by 6 (the number of cookies in each box) to get 24 (the total number of cookies). So, 4 x 6 = 24.

I hope this helps!

Multiplication is a very useful tool for finding how many things there are in total when there are many groups of the same size.

It’s also a helpful way to solve problems like finding how much money you would make if you did a certain number of chores at a certain amount of money each.

So, it’s another important skill to learn and have fun with!

We’re going to use our Neat Notebooks to find at least FOUR different algorithms for multiplying two factors or numbers together!

Maybe you can be creative and find some different algorithms or even multiply three different numbers or multiply skittles instead of just multiply 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 2 + 3 = 5, 2 and 3 are addends.
  • Sum: the answer to an addition problem. For example, in 2 + 3 = 5, 5 is the sum.
  • Commutative Property: when you can add or multiply numbers in any order and get the same sum or product. For example, 2 + 3 = 3 + 2 and 2 x 3 = 3 x 2.
  • Place Value: the value of a digit in a number based on its position. For example, in the number 543, the 5 is in the hundreds place, the 4 is in the tens place, and the 3 is in the ones place.
  • Algorithm: a set of steps for solving a problem or completing a task. For example, the standard algorithm for addition involves lining up the numbers and adding each column from right to left.
  • Algebra: a branch of math that deals with symbols and the rules for manipulating them. It often involves solving equations to find unknown values.
  • AlKhwarizmi: a Persian mathematician who lived in the 9th century and wrote a book on algebra that introduced the concept of algebraic equations.
  • Diophantis: a Greek mathematician who lived in the 3rd century and is known for his work in number theory, including the study of Diophantine equations.
  • House of Wisdom: a library and academy in Baghdad during the Islamic Golden Age that housed many important works of mathematics, including those of Al-Khwarizmi and Diophantis.
  • Distributive Property: a property of numbers that allows you to multiply a sum by a number and get the same result as multiplying each addend by the number and then adding the products. For example, 2 x (3 + 4) = (2 x 3) + (2 x 4).
  • Multiplication: a math operation where two or more numbers are combined to find the product. For example, 2 x 3 = 6.
  • Area Model: a model for multiplication that involves creating a rectangle and breaking it up into smaller rectangles to find the product.
  • Multiplication Algorithm: a set of steps for multiplying two numbers, such as the standard algorithm for multiplication that involves lining up the numbers, multiplying each digit in the bottom number by each digit in the top number, and then adding the partial products.
  • Standard Algorithm: a commonly used algorithm for solving a math problem. For example, the standard algorithm for addition involves lining up the numbers and adding each column from right to left.
  • Factor: a number that is multiplied by another number to get a product. For example, in 2 x 3 = 6, 2 and 3 are factors.
  • Product: the answer to a multiplication problem. For example, in 2 x 3 = 6, 6 is the product.

Watch the video to learn how to learn about multiplication 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 multiplication operators. Finally, ask everyone to choose two factors or numbers that you’ll multiply together in four different ways.

Learning multiple ways to multiply can be beneficial for several reasons:

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  1. Understanding: Different methods of multiplication can help develop a deeper understanding of the underlying concepts of multiplication and how it works. By seeing the same problem approached in different ways, students can gain a more complete and nuanced understanding of the topic.
  2. Flexibility: Different multiplication methods are better suited to different types of problems and situations. By knowing multiple methods, students have a greater range of tools and strategies at their disposal, making them better equipped to solve a wider variety of problems.
  3. Problem Solving: Having multiple methods for multiplication can also improve students’ problem-solving skills. By trying different approaches, students can learn to think creatively and find the most efficient way to solve a problem.
  4. Memory: Different multiplication methods can help students memorize the multiplication facts more easily. By repeating the same facts in different ways, they can reinforce their memory and make it easier to recall the facts when needed.
  5. Interest: Finally, learning multiple methods can also make the learning experience more interesting and engaging. By using different techniques and tools, students can experience a sense of variety and challenge, which can increase their motivation and enjoyment of the subject.

Overall, learning multiple ways to multiply can help students develop a deeper understanding of the concepts, improve their problem-solving skills, and make the learning experience more engaging and enjoyable.

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

  1. “Times Tales: A Multiplication Memorization System” by Ruth A. Newton
  2. “The King’s Chessboard” by David Birch
  3. “The Grapes of Math” by Greg Tang
  4. “The Best of Times” by Greg Tang
  5. “The Action of Subtraction” by Minh Lê
  6. “One Grain of Rice: A Mathematical Folktale” by Demi
  7. “Roses Are Pink, Your Feet Really Stink” by Diane deGroat
  8. “Math Curse” by Jon Scieszka
  9. “The Great Ball Game: A Muskogee Story” by Joseph Bruchac
  10. “Eddie’s Wheels” by Stuart J. Murphy

These books use engaging stories, illustrations, and fun characters to teach children about multiplication in a way that is accessible and memorable. They can be a great way to help children develop an early understanding and appreciation of this important mathematical concept.