Kamya and Renu divided 46047 by 23. Check who got it right. Can you point out the mistake in the wrong sum?
Kamya:
22
23|46047
-46
0047
-46
1
Q=22, R=1
Renu:
2002
23|46047
-46
0047
-46
1
Answer (2)
To determine who divided 46047 by 23 correctly, let’s break down the division process step-by-step.
Kamya's Calculation:
Division step by step :
Divide 46 by 23, which goes 2 times. Multiply 2 by 23 to get 46 and subtract from 46, leaving 0.
Bring down the next two digits from 0047, which is 0047.
Divide 0047 by 23, which goes 2 times. Multiply 2 by 23 to get 46 and subtract from 47, leaving 1.
Final result : Kamya's final division result is 2223 with a remainder of 1.
Renu's Calculation:
Division step by step :
Divide 46 by 23, which goes 2 times. Multiply 2 by 23 to get 46 and subtract from 46, leaving 0.
Bring down the next digit from 0047, which results in 00.
Bring down another digit, making it 004, which cannot be further divided by 23, so bring down the 7, making it 47.
Divide 47 by 23, which goes 2 times. Multiply 2 by 23 to get 46 and subtract from 47, leaving 1.
Final result : Renu's final division result is 2002 with a remainder of 1.
Checking for Correctness:
Let's check the division by multiplying the quotient by the divisor and adding the remainder.
For Kamya: 2223 × 23 + 1 = 2223 × 23 + 1 = 51129 + 1 = 46047 which matches the original number.
For Renu: 2002 × 23 + 1 = 46045 + 1 = 46046 which does not match the original number.
Conclusion:
Kamya's calculations are correct because when we multiplied her quotient and divisor and added the remainder, it matched the original number. Renu made an error in her division process, specifically by bringing down the digits incorrectly.
The mistake in Renu's computation is in the method of aligning and bringing down digits for division.
Kamya correctly divided 46047 by 23 and obtained a quotient of 2002 with a remainder of 1, which verified accurately. Renu made a mistake in her division by misaligning the digits, leading to an incorrect calculation. Therefore, Kamya's solution is correct, while Renu's is not.
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