Tag: comparing and ordering of decimals

Questions Related to comparing and ordering of 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

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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.