Break apart 54 to solve 54 divided by 6
The Correct answer and Explanation is:
To solve 54÷654 \div 654÷6 by breaking apart the number, we can use a method called “partial quotients” or “chunking.” This technique involves dividing the number into more manageable parts that can easily be divided by 6. Here’s a detailed breakdown of the process:
Step 1: Understanding the Division Problem
The problem is asking how many times 6 can fit into 54. This can be understood as distributing 54 items into groups of 6.
Step 2: Breaking Apart 54
We can break apart 54 into two simpler parts:
- The first part can be 48, which is easily divisible by 6.
- The second part will then be 54−48=654 – 48 = 654−48=6.
Step 3: Dividing Each Part
Now we will divide each part by 6:
- For the first part: 48÷6=848 \div 6 = 848÷6=8
- For the second part: 6÷6=16 \div 6 = 16÷6=1
Step 4: Adding the Results Together
Now we can add the results of our divisions:8+1=98 + 1 = 98+1=9
Thus, 54÷6=954 \div 6 = 954÷6=9.
Conclusion
To summarize, breaking apart numbers is an effective strategy for solving division problems. By splitting 54 into 48 and 6, we simplified the calculations. Since 48 is a multiple of 6, dividing it yielded a clear quotient of 8. Dividing the remaining part, 6, also resulted in a whole number, 1. By adding these two results together, we arrived at the answer of 9.
In addition to simplifying calculations, this method enhances understanding of division by illustrating how many groups can be formed, making it a useful tool for students in grasping the concept of division more intuitively. Thus, the final answer is 999.