Tag: comparing decimals

Questions Related to comparing decimals

Which of the following is correct?

maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. $0.658 > 0.732 < 0.514 < 0.813$

  2. $0.514 < 0.658 < 0.732 < 0.813$

  3. $0.813 < 0.732 < 0.658 < 0.514$

  4. $0.514 < 0.732 < 0.658 < 0.813$

Show answer
Correct Option: B
Explanation:

The correct order of is $0.514<0.658<0.732<0.813$
Hence option B is correct.

Which of the following expressions is CORRECT?

maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. $0.6 < 0.06$

  2. $0.66=\displaystyle\frac{5}{9}$

  3. $455 > \displaystyle\frac{11}{25}$

  4. $\displaystyle\frac{1}{6} > 0.17$

Show answer
Correct Option: C
Explanation:

(A) $0.6 > 0.06$

As we can see, LHS and RHS are same i.e. $0.6$. So, $=$ sign must be there in between. So, this statement is false.
(B) $0.66=\displaystyle\frac{66}{100}=\frac{33}{50}\neq \frac{5}{9}$
This statement is also false.
(C) $\displaystyle 455 >\frac{11}{25}=0.44$
This ststement is true.
(D) $\displaystyle\frac{1}{6}=0.166 < 0.17$
This statemnt is also false.
So, correct answer is option C.

The greatest possible decimal fraction upto four decimal places is ___________.

maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. $0.9900$

  2. $0.0009$

  3. $0.9000$

  4. $0.9999$

Show answer
Correct Option: D
Explanation:

Decimal fraction is a fraction which has no integral part.

$\therefore$ Greatest possible decimal fraction $= 0.9999$ Since it has $9$ at all the four decimal places.

Select the correct option which make the given expression true.
$12.5+5\displaystyle\frac{3}{8}+8\frac{1}{8}+9\frac{4}{5}+\square 2.9+15-6.88+11.08$.

maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. $<$

  2. $>$

  3. $=$

  4. Can't be determined

Show answer
Correct Option: B
Explanation:

We have, $\displaystyle 12.5+5\frac{3}{8}+8\frac{1}{8}+9\frac{4}{5}$

$=12.5+\dfrac{43}{8}+\dfrac{65}{8}+\dfrac{49}{5}$
$=12.5+5.375+8.125+9.8=35.8$ 
Now lets check for $2.9+15-6.88+11.08=22.1$
Since, $35.8 > 22.1$
Therefore, $ 12.5+\displaystyle 5\frac{3}{8}+8\frac{1}{8}+9\frac{4}{5} > 2.9+15-6.88+11.08$.

Which is the smallest decimal number among the following.

maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. $3.4$

  2. $4.4$

  3. $2.3$

  4. $2.1$

Show answer
Correct Option: D
Explanation:

The arrangement in increasing order of given numbers $2.1<2.3<3.4<4.43$

$2.1$ is the smallest among given numbers.

The least number among $\frac { 4 }{ 9 } ,\sqrt { \frac { 9 }{ 49 }  } ,0.45\quad and\quad { (0.8) }^{ 2 }$ is

maths fractions and decimals comparing and ordering of decimals more or less comparing decimals

  1. $\frac 49$

  2. $\sqrt { \frac { 9 }{ 49 } }$

  3. 0.45

  4. $(0.8)^2$

Show answer
Correct Option: A

Convert into decimal :
$\dfrac{23}{10} = $

maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. $2.3$

  2. $3.3$

  3. $5.6$

  4. $2.1$

Show answer
Correct Option: A
Explanation:
$\dfrac{23}{10}=2+\dfrac{3}{10}$
$=2+0.3$
$=2.3$

Compare: $12.1280 \, \square \, 12.129$  (using >, <, =)

maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. $>$

  2. $<$

  3. $=$

  4. None of the above

Show answer
Correct Option: B
Explanation:

The above numbers can be compared using the place value of the numbers after the decimal point.
Thus $12.1280 < 12.129$

Which of the following numbers $0.1, 0.11,$ $\displaystyle \left ( 0.11 \right )^{2},\sqrt{0.0001}$ is the greatest ?

maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. $0.11$

  2. $0.1$

  3. $0.11^2$

  4. None of these

Show answer
Correct Option: A
Explanation:
Consider the given numbers and find their values as follows:

$0.10\\ 0.11\\ \left( 0.11 \right) ^{ 2 }=0.11\times 0.11=0.0121\\ \sqrt { 0.0001 } =\sqrt { \dfrac { 1 }{ 10000 }  } =\sqrt { \dfrac { 1^{ 2 } }{ 100^{ 2 } }  } =\dfrac { 1 }{ 100 } =0.010$

Now from the above values we conclude that:

$0.11<0.10<0.0121<0.010$

Hence, $0.11$ is the greatest number.

Which number is greater than $\displaystyle \frac{1}{2}$?

maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. $0.7$

  2. $0.25$

  3. $0.48$

  4. $0.299$

Show answer
Correct Option: A
Explanation:

$\displaystyle \frac{1}{2}=0.5$
$\displaystyle 0.7> 0.5$

$\displaystyle 0.5> 0.25$
$\displaystyle 0.5> 0.48$
$\displaystyle 0.5> 0.299$
$\therefore$ option A is correct.