Draw a model to represent the following problem 42 divided by 7
The Correct Answer and Explanation is:
✅ Problem:
Divide 42 by 7.
✏️ Model Representation:
We can represent the division 42 ÷ 7 using equal groups or an array model.
🍎 Equal Groups Model:
Imagine we have 42 apples and we want to divide them into 7 equal baskets.
yamlCopyEditBasket 1: 🍎🍎🍎🍎🍎🍎
Basket 2: 🍎🍎🍎🍎🍎🍎
Basket 3: 🍎🍎🍎🍎🍎🍎
Basket 4: 🍎🍎🍎🍎🍎🍎
Basket 5: 🍎🍎🍎🍎🍎🍎
Basket 6: 🍎🍎🍎🍎🍎🍎
Basket 7: 🍎🍎🍎🍎🍎🍎
Each basket has 6 apples. So,
42 ÷ 7 = 6
✅ Correct Answer:
6
📚 Explanation
Division is a mathematical operation that involves splitting a number into equal parts or groups. In the problem 42 ÷ 7, we are asked to divide the number 42 into 7 equal parts.
To solve this, we can think of it in terms of equal sharing or grouping. If we have 42 items and want to split them equally among 7 groups, we need to figure out how many items each group will receive.
We can use a model like drawing 7 groups and placing one item in each group repeatedly until all 42 items are used up. As we do this, we find that after placing 6 items in each of the 7 groups, we have used all 42 items. This confirms that:
7 groups × 6 items = 42 items
This shows that the answer is 6 — each group gets 6 items. Another way to check this is to reverse the operation: multiply 6 (the result) by 7 (the divisor) to see if it equals the original number, 42. Since 6 × 7 = 42, the division was done correctly.
This division problem also helps reinforce the idea that division is the inverse of multiplication. It builds number sense and shows how quantities can be shared fairly. Using visual models like equal groups, arrays, or number lines can help learners understand division more deeply by making the abstract concept concrete.
