Find the greatest three-digit number which is a perfect square. (a) 961 (b) 860 (c) 780 (d) 859

By Ritesh|Updated : November 9th, 2022

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.

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.

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:

  1. Dividend
  2. Divisor
  3. Quotient
  4. 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.

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