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By now, you have an understanding of the foundations of multiplication. In this lesson, we will try to understand how to interpret multiplication equations, how to interpret division equations, and how to solve problems involving multiplication and/or division.
See the fact file below for more information on the problems involving multiplication and division or alternatively, you can download our 33-page Problems Involving Multiplication and Division worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
INTERPRETING MULTIPLICATION EQUATIONS
- Multiplication, in a basic sense, is just repeated addition.
- For example, let’s use 2 x 2 (two multiplied by two). Here, we have the value of 2 that we will add two times. Thus, 2 plus 2 gives us 4.
- Take the equation below as a sample multiplication equation.
- 5 x 3
- We can interpret the equation in two ways.
- The first way is to interpret it as the total number of objects in 5 groups with 3 objects each.
- The boxes represent the groups, while the circles are the objects.
- Therefore, if we count them all, we will get 15.
- 5 x 3 = 15
- The second way we can interpret it is as 3 groups of 5 objects each.
- Counting the objects, we will still get 15.
- 5 x 3 = 15
- Thus, we can think of the factors in a multiplication equation as a number of groups and a number of objects.
INTERPRETING DIVISION EQUATIONS
- Now, in this section we will try to understand division.
- Division is the process of splitting (or dividing) a set of objects into smaller equal subsets.
- 15 ÷ 3 = ?
- The dividend is the larger number, the number that we will divide into smaller groups.
- The divisor is the smaller number. This number tells us “how many groups” we are going to make.
- The quotient is the answer of a division equation.
- The division symbol can also be expressed as “/”.
- Now, let’s move on to the representation. Using the equation provided, the divisor is 3. This means we need to divide the dividend (15) into 3 groups.
- In this section, we will try to understand how to solve problems using multiplication and division.
- In the first scnario, we will solve problems involving equal groups.
- Andrea is planning to donate her old clothes to a foundation. She organized her clothes and put 4 pieces into each of her 3 small boxes.
- How many pieces of clothes is Andrea planning to donate?
- Now, read the word problem presented above. Do you have an understanding of what to do?
- What should we use? Multiplication or division?
- The answer is multiplication. This will be represented by the factors 4 and 3.
- We have another word problem presented below.
- Grace has 10 marbles. She is placing an equal number of marbles into 5 bags. How many marbles will be in each bag?
- Now, what are we going to use? Multiplication or division?
- The answer is division.
Problems Involving Multiplication and Division Worksheets
This is a fantastic bundle which includes everything you need to know about the problems involving multiplication and division across 33 in-depth pages. These are ready-to-use Problems Involving Multiplication and Division worksheets that are perfect for teaching students how to interpret multiplication equations, how to interpret division equations, and how to solve problems involving multiplication and/or division.
Complete List Of Included Worksheets
- Lesson Plan
- Problems Involving Multiplication and Division
- Complete The Equations
- Divide The Marbles
- Drawing Time
- Feed The Monkeys
- Two Ways
- Show Everything
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Link will appear as Problems Involving Multiplication and Division Facts & Worksheets: https://kidskonnect.com - KidsKonnect, May 27, 2020
Use With Any Curriculum
These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.