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After teaching the concept of multiplica...

After teaching the concept of multiplication to her class, a teacher asked her children to multiply 48 by 4.
One of her students solved it orally as "To multiply 48 by 4, we first add 48 to 48, which makes 96 and then add another 96 to reach 192. So, the answer is 192".
What can you say about his/her strategy of multiplication?

A

The child used a wrong method to multiply. He/She has to use the place value algorithm to multiply the numbers.

B

He/She has not understood the concept of multiplication.

C

The given problem is a multiplication problem and not addition problem.

D

He/She understood multiplication as repeated addition.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the student's strategy for multiplying 48 by 4, we can break down the steps involved in their reasoning: ### Step-by-Step Solution: 1. **Understanding the Problem**: The student is asked to multiply 48 by 4. This means we need to find the total of 48 added together 4 times. 2. **First Addition**: The student adds 48 to itself: \[ 48 + 48 = 96 \] This step is correct as it represents the first instance of adding 48. 3. **Second Addition**: The student then adds the result (96) to itself again: \[ 96 + 96 = 192 \] This step is also correct as it represents adding 48 two more times (48 + 48 + 48 + 48). 4. **Final Result**: The student concludes that the answer is 192. ### Conclusion: The student's method of solving the multiplication problem is based on the concept of repeated addition. They correctly identified that multiplying a number by 4 is equivalent to adding that number four times. However, the student could have achieved the same result more efficiently by directly multiplying 48 by 4 using the multiplication algorithm. ### Summary of Strategy: - The student used repeated addition to solve the multiplication problem. - This method is valid but not the most efficient way to perform multiplication, especially with larger numbers.
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