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Multiplication Arrays

4.NBT.5
Answer Keys Here

Aligned To Common Core Standard:

Grade 4 Numbers - 4.NBT.5

How to Multiply Using Arrays - Mostly, hands-on manipulatives are used to build a sense of math and help children better understand mathematical concepts. But these manipulatives aren't of much help in learning multiplication facts. That is why we use multiplication array to make multiplication facts easier to learn. A multiplication array is row and column arrangement that matches with a multiplication equation. Hands-on manipulatives are great, but they are cumbersome when you start solving multiplication equations with larger numbers. Here is how the multiplication array is used: A paper dot array help in easing the multiplication of larger numbers. For example, you can easily slide the L-shaped cover over the top of other cover and get any multiplication facts from 1 to 10. These arrays make children come up with different strategies to learn the multiplication table rather than rote-learning the timetables. For example, if you want your child to learn 6 x 8, you can use 5 x 8 as a steppingstone. 5 x 8 is equal to 40. 6 x 8 is one more group of 8 the 5 x 8. You can simply add 8 to 40, 40 + 8, to find the answer 48. Children can observe the commutative property of multiplication much before they get started with the topic. For example, they can observe that 3 x 4 and 4 x 3 have the same answer as 12. These worksheets and lessons will show students a quicker method to multiply values accurately.

Printable Worksheets And Lessons


  • Step-by-Step Lesson- We cover the basics of jump into spacing out the use of the boxes.
  • Guided Lesson - Two full problems for you to work with and master.
  • Guided Lesson Explanation - The box method really resonates with a handful of students and they will continue that for some time.
  • Practice Worksheet 1 - Box it out with 4 of them. Learn how to speed up your multiplication calculations.
  • Practice Worksheet 2 - Get more reps and get a handle on the skill. All values are double digits.


Homework Sheets

The first version uses the simple box method. The second version is where the magic happens.

  • Homework 1 - Use the array to solve each double digit multiplication problem. These are odd shapes boxes.
  • Homework 2 - These are really tight columns, but they only require one digit each. This provides you a way to make a visual for yourself.



Practice Worksheets

The first and third version use the matrix method. The second version uses the box method.

  • Practice 1 - This is a simple method for multiplying a little faster.
  • Practice 2 - Break the value down into its place values (ones and tens).
  • Practice 3 - Place values on sides of the array will help you organize this one.



Math Skill Quizzes

Matrix method is done in quiz 3. The other quizzes follow the standard format.

  • Quiz 1 - Multiply the values that meet in rows and columns. See how these work for you.
  • Quiz 2 - Add all the leftover products that you have created.
  • Quiz 3 - You will recognize that the values fit where they belong.