Tag: four operations

Questions Related to four operations

State whether the following statement is True or False.
The whole number $13$ lies between $11$ and $12$.

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. True

  2. False

Show answer
Correct Option: B
Explanation:

False, $13$ does not lie in between $11$ and $12$.

Rather, $13>12$, $13$ lies to the right of 12 on number line.

Multiplying a negative integer for odd times gives  a _____ result 

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. negative

  2. $0$

  3. positive

  4. none

Show answer
Correct Option: A
Explanation:

$(-1)\times(-1)\times(-1).......odd\;times\;=\;Negative\;sign$.

The difference between the greatest and least numbers of  $ \displaystyle \frac{5}{9}  $, $ \displaystyle \frac{1}{9}  $, $ \displaystyle \frac{11}{9}  $ is-

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. $ \displaystyle \frac{9}{2} $

  2. $ \displaystyle \frac{10}{9} $

  3. $ \displaystyle \frac{3}{8} $

  4. $ \displaystyle \frac{9}{10} $

Show answer
Correct Option: B
Explanation:

The ascending order of given numbers is  $ \displaystyle  \frac{1}{9} $,$ \displaystyle  \frac{5}{9} $,$ \displaystyle  \frac{11}{9} $


Here denominator is equal, so greater the numerator greater will be the value.

 $ \displaystyle \therefore  $ Required difference 
$ \displaystyle  \frac{11}{9} $-$ \displaystyle  \frac{1}{9} $=$ \displaystyle  \frac{10}{9} $ 

Let $x$ be a real variable, and let $3 < x < 4.$ Which of the following values, $x$ might have?

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. $-3.1$

  2. $\sqrt{11}$

  3. $\sqrt{\dfrac{10}{11}}$

  4. $4.1$

Show answer
Correct Option: B
Explanation:

$x$ can have any values between $3$ and $4$ so it can be rational or irrational. 
option $c$=$0.9$  and options $A$ and $D$ are outside the given range.
Hence, correct answer is option $B=\sqrt11=3.3$.

The rational number $\displaystyle \frac{-18}{5}$ lies between 

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. $- 2$ and $- 3$

  2. $- 3$ and $- 4$

  3. $- 4$ and $- 5$

  4. $- 5$ and $- 6$

Show answer
Correct Option: B
Explanation:

$\dfrac{-18}{5} = -3.6 $
Therefore, it lies between $-3$ and $-4.$

How many times does the digit $3$ appear while writing the integers from $1$ to $1000$?

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. $298$

  2. $299$

  3. $300$

  4. $301$

Show answer
Correct Option: C

The number of whole numbers between the smallest whole number and the greatest 2-digit number is:

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. $101$

  2. $100$

  3. $99$

  4. $98$

Show answer
Correct Option: D
Explanation:

The smallest whole number is $0$ and the two-digit greatest whole number is $99$.

So the numbers between $0$ and $99$ are $1,2,....,98$ i.e. there are $98$ whole numbers between $0$ and $99$.

If n is a whole number such that $n + n = n$, then $n =$ ?

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. 1

  2. 2

  3. 3

  4. None of these

Show answer
Correct Option: D
Explanation:

$n + n = n$

$2n = n$
Clearly $n = 0$, satisfies 
So $n = 0$ is the final answer.

How many whole numbers are between 437 and 487? 

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. $50$

  2. $49$

  3. $51$

  4. None of these

Show answer
Correct Option: B
Explanation:

No. of whole numbers in between

$=(487 - 437) - 1$
$= 50 - 1$
$= 49$

On a vertical number line positive numbers are placed ____ $0$

maths four operations whole number operations on the number line whole numbers on number line introduction to multiples and factors

  1. right side

  2. left side

  3. above

  4. below

Show answer
Correct Option: C
Explanation:

Positive number are located above $0$ and negative numbers are located below $0$ on a vertical number line