Use Array to Find Totals:
Introduction:
To find the totals by using an array, first, we have to know about repeated addition. Let’s know what repeated addition is and how we can add numbers repeatedly.
Repeated Addition:
We can model repeated addition with an array. Let’s add the same number again and again and find the answer.
Adding the same number (addend) over and over.
3 + 3 + 3 + 3 = 12
![3 + 3 + 3 + 3 = 12](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/3-3-3-3-12.png)
Here we are adding 3 stars repeatedly four times.
Example:
Model repeated addition with an array.
![4 + 4 + 4 + 4 = 16](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/4-4-4-4-16.png)
Here we can add 4 smileys repeatedly.
4 + 4 + 4 + 4 = 16
Arrays:
Arrays have equal rows and equal columns.
![Equal columns](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/equal-rows-and-equal-columns-730x1024.png)
Here the image contains 5 equal rows and 3 equal columns.
Arrays have equal rows.
![Equal Rows](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Equal-rows-778x1024.png)
There are 5 equal rows. Each row has 3 dots.
Arrays have equal columns.
![Equal Columns](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Equal-Columns-776x1024.png)
There are 3 equal columns. Each column has 5 dots.
We can define an array as a set that shows equal groups in rows and columns.
![Column 4](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Column-4-1024x559.png)
Here we can see that there are three rows and four columns.
Example: 1
Count the number of rows and columns present in the given image.
![Number of Rows](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Number-of-Rows-1024x817.png)
Count the number of rows.
Then we have to count the number of columns.
From the figure, we can say that there are 4 rows and 4 columns in the image.
Example: 2
Write the number of rows and columns the given image has.
![Each row has 3 stars](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Each-row-has-3-stars-1024x634.png)
Solution:
There are 3 columns and two rows. Each column has two stars, and each row has 3 stars.
Example: 3
Write two equations that explain the array.
![Arrays](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Arrays-1024x595.png)
Solution:
There are 4 objects in each row if we count row-wise.
There are 2 objects in each column if we count column-wise.
By rows, the required equation is 4 + 4 = 8
By columns, the required equation is 2 + 2 + 2 + 2 = 8.
Example:
Which addition statement describes the array?
![Array](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Array-1024x539.png)
![5 + 5](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/5-5.png)
Solution:
There are 2 rows and 5 columns.
So, the equation for the array is,
5 + 5
2 + 2 + 2 + 2 + 2
So, the required answer is 5 + 5.
Exercise
- Write two equations that explain the array.
![Two Equations](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Two-Equations-1024x250.png)
2. Write the equation by rows for the array.
![Rows of Array](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Row-of-the-Array.png)
3. Write two equations that explain the array.
![Two Equations-Arrays](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Two-Equations-Array.png)
4. Write the equation by rows for the array.
![Row of Array](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Row-of-Array.png)
5. Write the equation by columns for the array.
![Columns of the Array](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Columns-of-the-Array.png)
6. Write the equation by rows for the array.
![Rows for the array](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Row-of-the-Array-1-1024x260.png)
7. Write two equations that explain the array.
![The Array](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/The-array-1024x582.png)
8. Write the equation by columns for the array.
![columns for the array](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Columns-for-the-array.png)
9. Write two equations that explain the array.
![Two Equations](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Two-Equations-1.png)
10. Write the equation by columns for the array.
![Columns for the Array](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Columns-for-the-array-1-1024x444.png)
Concept Map:
![Rows and Columns](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Rows-and-Columns-1024x534.png)
![Columns and Rows](https://www.turito.com/learn-internal/wp-content/uploads/2023/07/Columns-and-Rows-1024x418.png)
What We Have Learned
- How to identify a group of an array?
![Array to find total](/_next/image?url=https%3A%2F%2Fwww.turito.com%2Flearn-internal%2Fwp-content%2Fuploads%2F2023%2F07%2FArray-to-Find-Total.png&w=1920&q=50)
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