Question

determine weathersquare of the following numbers will be even or odd (i) 529 (ii) 30976 (iii) 893025 (iv) 6990736 explain the answer​

Answer 1

ANSWER:

• Square of 529 is odd.

• Square of 30976 is even.

• Square of 893025 is odd.

• Square of 6990736 is even.

GIVEN NUMBERS:

• 529.

• 30976.

• 893025.

• 6990736.

TO CHECK:

• Whether square of the given numbers will be even or odd.

EXPLANATION:

• First, to check the square is even or odd we need to find the square of the number.
• But here numbers are too large for calculation. So we use a simple method.
• Just square the last digit and find whether it is odd or even.

(i) 529:

• Last digit = 9

• Square the last digit.

• 9² = 81

• Check the last digit of the square.

• It is one which is an odd number. So square of 529 is also an odd number.

(ii) 30976:

• Last digit = 6

• Square the last digit.

• 6² = 36

• Check the last digit of the square.

• It is six which is an even number. So square of 30976 is also an even number.

(iii) 893025:

• Last digit = 5

• Square the last digit.

• 5² = 25

• Check the last digit of the square.

• It is five which is an odd number. So square of 893025 is also an odd number.

(iv) 6990736:

• Last digit = 6

• Square the last digit.

• 6² = 36

• Check the last digit of the square.

• It is six which is an even number. So square of 6990736 is also an even number.

Answer 2

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★ Question :

• Determine weather square of the following numbers will be even or odd (i) 529 (ii) 30976 (iii) 893025 (iv) 6990736. Explain the answer!

★ Required Answers :

• Square of (i) 529 is odd
• Square of (ii) 30976 is even
• Square of (iii) 893025 is odd
• Square of (iv) 6990736 is even

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★ Step by step explanation :

• (i) 529

➲ㅤㅤSquare of it's last digit = (9)²

➲ㅤㅤSquare of it's last digit = 81

• Last digit of it's square is 1 , which is an odd number.

∴ It's square is also an odd number!

• (ii) 30976

➲ㅤㅤSquare of it's last digit = (6)²

➲ㅤㅤSquare of it's last digit = 36

• Last digit of it's square is 6 , which is an even number.

∴ It's square is also an even number!

• (iii) 893025

➲ㅤㅤSquare of it's last digit = (5)²

➲ㅤㅤSquare of it's last digit = 25

• Last digit of it's square is 5 , which is an odd number.

∴ It's square is also an odd number!

• (iv) 6990736

➲ㅤㅤSquare of it's last digit = (6)²

➲ㅤㅤSquare of it's last digit = 36

• Last digit of it's square is 6 , which is an even number.

∴ It's square is also an even number!

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