fill in the blanks.

Question 11 Mark

For a natural number $m>1,\left(2 m, m^2-1, m^2+1\right)$ is called $.........$

Answer

For a natural number $m >1$, $\left(2 m, m^2-1, m^2+1\right)$ is called Pythagorean triplet.

Question 21 Mark

Square of any $………$ number can be expressed as the sum of two consecutive natural numbers.

Answer

Square of any odd number can be expressed as the sum of two consecutive natural numbers.

Question 31 Mark

Number of zeros in the end of the square of $400$ is $………$

Answer

Number of zeros in the end of the square of $400$ is $0000 ($four zeros$).$

Question 41 Mark

Number of non$-$square numbers between $11^2$ and $12^2$ is

Answer

Number of non$-$square numbers between $11^2$ and $12^2$ is $\left(12^2-11^2\right)-1=12+11-1=22$.

Question 51 Mark

Sum of first $10$ odd natural numbers is $………$

Answer

Sum of first $10$ odd natural numbers is $(10)^2=100$.

Question 61 Mark

If a number has digits $………$ in the unit’s place, then its square ends in $1$.

Answer

If a number has digits $1$ or $9$ in the unit’s place, then its square ends in $1$.

Question 71 Mark

On combining two consecutive triangular number, we get a $………$

Answer

On combining two consecutive triangular number, we get a square number.

Question 81 Mark

A number ending in $………$ is never a perfect square.

Answer

A number ending in $2,3,7$ and $8$ is never a perfect square.

MATHS fill in the blanks.