Mathematics
Grade 3
15 min
Relate multiplication and division for arrays
Relate multiplication and division for arrays
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify the number of rows, columns, and the total number of objects in an array.
Write a multiplication equation that represents a given array.
Write two related division equations that represent a given array.
Explain the relationship between the numbers in a multiplication and division fact family.
Use an array to find the unknown number in a multiplication or division equation.
Draw an array to model a given multiplication or division problem.
Have you ever seen cookies arranged perfectly on a baking sheet or chairs set up for a school play? 🍪 That's an array!
In this lesson, we will explore how these neat rows and columns, called arrays, can help us see a super-secret connection between multiplication and division. Understanding this connecti...
2
Key Concepts & Vocabulary
TermDefinitionExample
ArrayAn arrangement of objects, pictures, or numbers in equal rows and columns.A grid of 6 stars with 2 rows and 3 columns is an array. ⭐⭐⭐
⭐⭐⭐
RowA horizontal line of objects in an array that goes from side-to-side.In the array ⭐⭐⭐
⭐⭐⭐, the top line of 3 stars is one row.
ColumnA vertical line of objects in an array that goes up and down.In the array ⭐⭐⭐
⭐⭐⭐, the first line of 2 stars going up and down is one column.
MultiplicationA way to find the total number of objects when you have equal groups. It's like fast adding!For an array with 2 rows of 3 stars, you can multiply 2 x 3 to get a total of 6 stars.
DivisionThe process of splitting a total into equal groups to find out how many are in each group or how many groups you can make.If you ha...
3
Core Formulas
Multiplication Rule for Arrays
Rows × Columns = Total
To find the total number of items in any array, multiply the number of rows by the number of columns.
Division Rule 1 for Arrays
Total ÷ Rows = Columns
If you know the total and the number of rows, you can divide to find the number of items in each column.
Division Rule 2 for Arrays
Total ÷ Columns = Rows
If you know the total and the number of columns, you can divide to find the number of rows.
4 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
An array shows 4 x 8 = 32. If you rearrange the same 32 items into a new array with only 2 rows, what new division fact have you shown?
A.32 ÷ 8 = 4
B.32 ÷ 2 = 16
C.32 ÷ 1 = 32
D.16 ÷ 2 = 8
Challenging
An array has a total of 30 squares. The number of rows is 1 more than the number of columns. Which division sentence is related to this array?
A.30 ÷ 6 = 5
B.30 ÷ 10 = 3
C.30 ÷ 5 = 6
D.30 ÷ 3 = 10
Challenging
Which fact family could NOT be shown by an array with 24 total items?
A.4, 6, 24
B.3, 8, 24
C.2, 12, 24
D.5, 4, 20
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free