If a Number has n Zeros at the End, Its Square will have 2n Zeros

Q.

Question 3

$x$ is a non-zero rational number. Product of the square of $x$ with the cube of $x$ is equal to the
(a) second power of $x$
(b) third power of $x$
(c) fifth power of $x$
(d) sixth power of $x$

Q. If a number has '5' zeros at the end, its square will have ___ zeros.

1. 15
2. 10
3. 8
4. 5

Q.

Observe the following pattern and find the missing numbers.

${11}^2=121$

${101}^2=10201$

${1001}^2=1002001$

${100001}^2=1\_\_\_\_2\_\_\_\_1$

${10000001}^2=\_\_\_\_\_\_\_\_\_$

Q. $\text{The length of the side of a square with an area of}$
$1,600m^{2}is$ ____.

1. 80 m
2. 44 m
3. 30 m
4. 40 m

Q. $(66666{)}^2=$

1. 2 2 2 2 3 7 7 7 7 6
2. 4 4 4 4 3 5 5 5 5 6
3. 4 4 4 4 6 5 5 5 5 6
4. 5 5 4 4 5 5 4 4 5 5

Q. $(11111111{)}^2$ equals

1. 123456787654321
2. 123454321
3. 1234567654321
4. 12321

Q. Find the square root of 169 by the method of successive subtractions [3 MARKS]

Q.

The length of the side of a square with an area of 1600 m² is __ metres.

Q. Classify the following set as 'singleton' or 'empty': $D=\{d|d\in N,d^2\le 0\}$

1. Singleton
2. Empty
3. Data insufficient
   
4. None of these
   

Q.

$(11111111{)}^2$ equals:

1. 123456787654321

2. 123454321

3. 1234567654321

4. 12321

Q. $(11111111{)}^2$ equals

1. 123456787654321
2. 123454321
3. 1234567654321
4. 12321

Q. $(66666{)}^2=$

1. 2 2 2 2 3 7 7 7 7 6
2. 4 4 4 4 3 5 5 5 5 6
3. 4 4 4 4 6 5 5 5 5 6
4. 5 5 4 4 5 5 4 4 5 5

Q. $\text{The length of the side of a square with an area of}$
$1,600m^{2}is$ ____.

1. 80 m
2. 44 m
3. 30 m
4. 40 m

Q.

If the square of a number ends with 17 zeros, then its square will end with how many zeros?

1. 17

2. 34

3. indeterminate

4. 51

Q.

How many zeroes will ${19000}^2$ have at the end?

1. 3

2. 4

3. 5

4. 6

Q.

If a number ends with $n$ zeroes, what is the number of trailing zeroes in the square of the number?

1. $n$

2. $n+2$

3. $2n$

4. $n^2$

Q.

$\text{Find the value of}(66666{)}^2.$

1. 222237776

2. 4444355556

3. 4444655556

4. 445544554455

Q. The length of the side of a square with an area of $1600m^2$ is ____.

1. 80m
2. 44m
3. 40m
4. 30m