Solve 42 divided by 3 using a number bond
The Correct Answer and Explanation is:
To solve (42 \div 3) using a number bond, we can break down the number 42 into smaller, more manageable parts that can be easily divided by 3. A number bond is a visual representation that shows the relationship between a whole number and its parts.
Step 1: Understanding the Components
In this case, we want to express 42 as a sum of two parts that are both divisible by 3. We can break 42 down into 30 and 12. This can be visualized as follows:
[
42 = 30 + 12
]
Step 2: Dividing Each Part by 3
Next, we divide each of these parts by 3:
- Dividing 30 by 3:
[
30 \div 3 = 10
] - Dividing 12 by 3:
[
12 \div 3 = 4
]
Step 3: Combining the Results
Now, we can combine the results of the two divisions:
[
10 + 4 = 14
]
Conclusion
Thus, (42 \div 3 = 14).
Explanation
The use of a number bond allows us to visualize the process of division by breaking down a larger number into smaller components that are easier to manage. This method not only simplifies the computation but also enhances understanding, particularly for those learning division concepts.
By expressing 42 as (30 + 12), we can leverage our knowledge of multiplication and division facts. It shows that we can take a complex problem and simplify it, making calculations more accessible. This strategy is particularly helpful in education, as it encourages students to find different pathways to the solution, fostering critical thinking and flexibility in mathematical reasoning. Number bonds can be applied to a variety of mathematical operations, allowing for a deeper comprehension of numbers and their relationships.