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There are 200 natural numbers between 100² and 101². State whether the statement is true (T) or false (F).

The given statement is True Explanation To find the number of whole numbers between any two numbers following steps are followed:... View Article

There are five perfect cubes between 1 and 100. State whether the statement is true (T) or false (F).

The given statement is False Explanation There are only 3 perfect cubes between 1 and 100. 2 × 2 × 2 = 8 3 × 3 ×... View Article

The cube root of 8000 is 200. State whether the statement is true (T) or false (F).

The given statement is False Explanation Let us find the cube root of 8000 by prime factorisation method 8000 = 2 × 2 × 2... View Article

The square of every natural number is always greater than the number itself. State whether the statement is true (T) or false (F).

The given statement is False Explanation 1 is a natural number and the square of 1 is not greater itself rather its equal to the number... View Article

The square root of 0.9 is 0.3. State whether the statement is true (T) or false (F).

The given statement is False Explanation The square root of 0.9 = √0.9 = 0.9487 0.9 = 0.32 = 0.3 × 0.3 = 0.09... View Article

The cube of 0.4 is 0.064. State whether the statement is true (T) or false (F).

The given statement is True Explanation The cube of 0.4 = 0.43 We will express 0.4 in the form of a fraction = (4/10)3 = 64/1000... View Article

The square of 2.8 is 78.4. State whether the statement is true (T) or false (F).

The given statement is False Explanation The square of 2.8 is = 2.82 We will express 2.8 in the form of fraction = (28/10)2 = 784/100... View Article

Each prime factor appears 3 times in its cube. State whether the statement is true (T) or false (F).

The given statement is True Explanation A perfect cube can always be expressed as the product of triplets of prime factors. Every... View Article

The square root of 1521 is 31. State whether the statement is true (T) or false (F).

The given statement is False Explanation Let us determine the square root of 1521 by the prime factorisation method By prime... View Article

There is no square number between 50 and 60. State whether the statement is true (T) or false (F).

The given statement is True Explanation The number 49 is a perfect square and 64 is a perfect square. 72= 49 82=64 Hence there is no... View Article

The product of two perfect squares is a perfect square. State whether the statement is true (T) or false (F).

The given statement is True Explanation Let us consider two perfect squares 62= 36 92=81 36 x 81= 2916 2916 is the square of 54... View Article

The sum of two perfect squares is a perfect square. State whether the statement is true (T) or false (F).

The given statement is False Explanation The sum of two perfect squares is a perfect square. Let us consider two perfect squares 72= 49... View Article

The square of 86 will have 6 at the units place. State whether the statement is true (T) or false (F).

The given statement is True Explanation From the properties of square numbers, we know that If a number ends with 4 or 6, then its square... View Article

Cube of a number ending in 7 will end in the digit _______________.

Cube of a number ending in 7 will end in the digit 3 Explanation For example: 17 x 17x 17 = 4913 The cube of 17 ends with 3.... View Article

The least number by which 72 be divided to make it a perfect cube is _____________.

The least number by which 72 be divided to make it a perfect cube is 9. Explanation 72 / 9 = 8 2 x 2 x 2= 8 The least number by which 72 be... View Article

The least number by which 72 be multiplied to make it a perfect cube is _____________.

The least number by which 72 be multiplied to make it a perfect cube is 3. Explanation 72x 3 =216 216= 6 x 6 x 6 The least number by which 72... View Article

The least number by which 125 be multiplied to make it a perfect square is _____________.

The least number by which 125 be multiplied to make it a perfect square is 5. Explanation 125 = 5 × 5 × 5 If we multiply 125 by 5... View Article

The cube root of a number x is denoted by _________.

The cube root of a number x is denoted by 3√x or x1/3 Explanation The cube root symbol is denoted by ‘3√’.... View Article

The cube of an odd number is always an _________ number.

The cube of an odd number is always an odd number. Explanation For instance 33= 3 x 3 x 3 = 27 which is odd 53= 5 x 5 x 5 = 125 which is... View Article

(1.2)³ = _________.

(1.2)3 = 1.728 Explanation (1.2)3 = 12/10 = (12/10) × (12/10) × (12/10) = 1728/1000 = 1.728... View Article