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Find the greatest three-digit number which is a perfect square. (a) 961 (b) 860 (c) 780 (d) 859
By BYJU'S Exam Prep
Updated on: September 25th, 2023
The greatest three-digit number which is a perfect square is 961. Since 999 is the largest three-digit number. Now use the long division method to calculate the square root of 999.
Hence, the greatest three-digit number which is a perfect square = 999 – 38 = 961. Long division in mathematics is a strategy for breaking down complicated division problems into a series of simpler steps. It is the approach that division-based issues are typically solved using.
Table of content
Components of Long Division
We must be aware of the key components of long division when doing long division. The following is a list of the fundamental components of long division:
- Dividend
- Divisor
- Quotient
- Remainder
Steps in Long Division
A vinculum separates the dividend from the quotient, while a right parenthesis or vertical bar separates the divisor from the dividend (an overbar). Let’s now go through the long division steps listed below to comprehend the procedure.
Step 1: Take the dividend’s first digit starting from the left in step one. Verify if this digit exceeds or is equal to the divisor.
Step 2: The result should be written as the quotient on top after being divided by the divisor.
Step 3: Subtract the outcome from the digit, and then put the difference below.
Step 4: Decrease the dividend’s subsequent digit (if present).
Step 5: Carry out Step 4 again.
Summary:
Find the greatest three-digit number which is a perfect square.(a) 961(b) 860(c) 780(d) 859
The greatest three-digit number which is a perfect square is 961. The long division method is used to break a complex division problem into simpler steps.