To solve the problem [tex]\(20 \div 4\)[/tex], we can break it down into a step-by-step process and represent it with an array to visualize the division.
### Step 1: Understand the Division
The division problem [tex]\(20 \div 4\)[/tex] asks us to divide 20 into equal parts with each part containing 4 units. This means we want to know how many groups of 4 can be made out of 20.
### Step 2: Calculate the Quotient
To find out how many groups of 4 fit into 20, we need to determine the quotient. The quotient of [tex]\(20 \div 4\)[/tex] is 5. This tells us that 20 divided by 4 results in 5 equal groups.
### Step 3: Create the Array
Now, let's create an array to represent this division.
#### Array Representation
We need to create an array with 5 rows (since the quotient is 5) and each row will have 4 elements (since the divisor is 4).
Here is the array representation:
```
[0, 1, 2, 3]
[0, 1, 2, 3]
[0, 1, 2, 3]
[0, 1, 2, 3]
[0, 1, 2, 3]
```
### Step 4: Verify the Array
Let's verify the array:
- We have 5 rows, each representing one of the groups formed by the division.
- Each row has 4 columns, representing the 4 units in each group.
If we count all the elements, we get:
[tex]\[ 5 \text{ rows} \times 4 \text{ elements per row} = 20 \text{ elements} \][/tex]
### Conclusion
So, by drawing the above array, we can see that the division of 20 by 4 creates 5 equal groups of 4. The quotient of [tex]\(20 \div 4\)[/tex] is 5, and the array representation confirms this by showing 5 rows of 4 elements each.
