Draw a model to represent the following problem 42 divided by 7
The Correct Answer and Explanation is:
Visual Model
Let’s use equal groups as a model to represent the division problem:
42 ÷ 7
We want to divide 42 items equally into 7 groups.
Step-by-Step Visual Representation:
sqlCopyEditGroup 1: ● ● ● ● ● ●
Group 2: ● ● ● ● ● ●
Group 3: ● ● ● ● ● ●
Group 4: ● ● ● ● ● ●
Group 5: ● ● ● ● ● ●
Group 6: ● ● ● ● ● ●
Group 7: ● ● ● ● ● ●
Each group has 6 dots, representing 6 items.
Final Answer:
42 ÷ 7 = 6
Explanation:
Division is the process of breaking a quantity into equal parts or groups. In the problem 42 ÷ 7, we are asked to divide the number 42 into 7 equal parts. To understand this visually, imagine you have 42 apples, and you want to distribute them equally among 7 children. Each child must get the same number of apples.
To find out how many apples each child gets, we divide 42 by 7. This is the same as asking, “How many times does 7 go into 42?” or “What number multiplied by 7 gives 42?” Since 7 × 6 = 42, we know the answer must be 6.
We can also represent this with an equal groups model. If you draw 7 separate groups and begin placing one item in each group until all 42 items are placed, you will find that each group ends up with 6 items. This visual clearly shows that 42 items can be split evenly into 7 parts, with 6 items in each part.
Understanding division through models helps build a strong conceptual foundation. Rather than memorizing the division fact, students see how the number is shared or grouped. This is particularly helpful for visual learners or for those just beginning to explore the idea of division.
In conclusion, 42 divided by 7 equals 6. Each of the 7 groups contains 6 items, and the model proves that the division is accurate and fair.
