42÷3 using model area
The Correct Answer and Explanation is :
The correct answer is: 42 ÷ 3 = 14
To solve the division 42 ÷ 3 using the model or area method, we break the number 42 into smaller parts to simplify the division. This is similar to how division is related to multiplication. Here’s how it works step by step:
Step 1: Break the Number
42 can be broken into simpler components that are easy to divide. In this case:
- 42 = 30 + 12
We choose 30 and 12 because they are easy to divide by 3.
Step 2: Divide Each Part
Now, divide each part by 3:
- 30 ÷ 3 = 10
- 12 ÷ 3 = 4
Step 3: Add the Results
After dividing the parts, we add the results together:
- 10 + 4 = 14
Final Answer: 14
So, 42 ÷ 3 = 14.
Explanation of the Model (Area) Method
The area model is a visual representation that breaks numbers into more manageable pieces, allowing us to perform operations like division or multiplication more easily. This method is commonly used in elementary mathematics because it helps learners understand the concept of division by showing how a number can be separated into parts that are simpler to work with.
In this example, the number 42 was broken down into 30 and 12, both of which are divisible by 3 without needing complex calculations. Once each part was divided, the results were combined to give the final quotient. This method highlights the relationship between division and multiplication and fosters a deeper understanding of how larger numbers can be split into smaller units. It’s particularly useful when dealing with larger or more complex numbers that are not immediately divisible.