#### Need Help?

Get in touch with us  # Make Arrays to Find Totals

## Key Concepts

• Find the totals by using an array

## Introduction

Write whether the given image is an array or not. Find the number of rows and columns present in the image.

Yes, the given image is an array because the number of rows and columns are equal.

There are 2 rows and 5 columns. Each row contains 5 trees, and each column contains 2 trees.

We can model repeated addition with an array.

3 + 3 + 3 + 3 = 12

Here, we are adding 3 stars four times.

Example:

Model repeated addition with an array.

Here, we can add 4 smileys repeatedly.

4 + 4 + 4 + 4 = 16

### Arrays

We can define an array as a set that shows equal groups in rows and columns.

Here, we can see that there are three rows and four columns.

Example:

Write whether the image given below is an array or not.

Here 4 rows and 3 columns are present in the image.

Add the number of tortoises in each row.

Here there are 4 rows, and each row contains 3 tortoises.

So, the equation for the row is,

3 + 3 + 3 + 3 = 12

Add the number of tortoises in each column.

Here there are 4 columns, and each column contains 3 tortoises.

So, the equation for the column is,

4 + 4 + 4 = 12

Example

Count the number of rows and columns present in the given image and write the equation for both.

Solution:

Add the number of objects in each row.

Here there are 3 rows, and each row contains 3 shells.

So, the equation for the row is,

3 + 3 + 3 = 9

Add the number of objects in each column.

Here there are 3 columns, and each column contains 3 shells.

So, the equation for the column is,

3 + 3 + 3 = 9

Example:

Write the number of rows and columns the given image has.

Solution:

There are 4 columns and 3 rows.

Each column has 3 objects, and each row has 4 objects.

Example:

Write two equations that explain the array.

Solution

By rows, the required equation is 4 + 4 = 8

By columns, the required equation is 2 + 2 + 2 + 2 = 8.

So, the required answer is 5 + 5.

## Exercise

• Write two equations that represent the array.
• Write the equation by rows for the array.
• Write the equation by rows for the array.
• Write the equation by rows for the array.
• Write the equation by columns for the array.
• Write the equation by rows for the array.
• Write two equations that explain the array.
• Write the equation by columns for the array.
• Write two equations that explain the array.
• Write the equation by columns for the array.

### What we have learned

• How to find the total by using an array?

#### Related topics #### Addition and Multiplication Using Counters & Bar-Diagrams

Introduction: We can find the solution to the word problem by solving it. Here, in this topic, we can use 3 methods to find the solution. 1. Add using counters 2. Use factors to get the product 3. Write equations to find the unknown. Addition Equation: 8+8+8 =? Multiplication equation: 3×8=? Example 1: Andrew has […] #### Dilation: Definitions, Characteristics, and Similarities

Understanding Dilation A dilation is a transformation that produces an image that is of the same shape and different sizes. Dilation that creates a larger image is called enlargement. Describing Dilation Dilation of Scale Factor 2 The following figure undergoes a dilation with a scale factor of 2 giving an image A’ (2, 4), B’ […] #### How to Write and Interpret Numerical Expressions?

Write numerical expressions What is the Meaning of Numerical Expression? A numerical expression is a combination of numbers and integers using basic operations such as addition, subtraction, multiplication, or division. The word PEMDAS stands for: P → Parentheses E → Exponents M → Multiplication D → Division  A → Addition S → Subtraction         Some examples […]   