Tag: comparing and ordering of decimals

Questions Related to comparing and ordering of decimals

Of the numbers 0.16, $\displaystyle \sqrt{0.16}$, $\displaystyle (0.16)^{2}$ and $\displaystyle 0.1\overline{6}$ the least number is

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

  1. $\displaystyle (0.16)^{2}$

  2. $\displaystyle \sqrt{0.16}$

  3. 0.16

  4. $\displaystyle 0.1\overline{6}$

Show answer
Correct Option: A
Explanation:

0.16 = 0.16
$\displaystyle \sqrt{0.16}=0.4 $  $\displaystyle \Rightarrow 0.0256=\left ( 0.16 \right )^{2}$
$\displaystyle \left ( 0.16 \right )^{2}=0.0256 $  $\displaystyle \Rightarrow 0.0256=\left ( 0.16 \right )^{2}$
$\displaystyle 0.\overline{16}=0.1666....$  $\displaystyle \Rightarrow 0.0256=\left ( 0.16 \right )^{2}$
is the least

Compare $\displaystyle 16.1270 \Box  16.128 $

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

  1. >

  2. =

  3. <

  4. None of these

Show answer
Correct Option: C
Explanation:

$16.128$ ia greater than $16.1270$

Hence Option C

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 these

Show answer
Correct Option: B
Explanation:

$12.1280 < 12.129$
since when thousandth places are compared 8 < 9

Which of the following expressions is true?  

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

  1. 1.3749 < 1.0399

  2. 1.7908 < 1.879

  3. 1.526 < 1.2605

  4. 1.463 < 1.3902

Show answer
Correct Option: B
Explanation:

Option A =1.3749<1.03991.3749<1.0399, it should be 1.3749>1.03991.3749>1.0399

Option B=1.7908<1.8791.7908<1.879, it is true
Option C=1.526<1.26051.526<1.2605 , it should be 1.526>1.26051.526>1.2605
Option D=1.463<1.39021.463<1.3902, it should be1.463>1.39021.463>1.3902
Hence option B is the correct answer

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

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

  1. $\displaystyle >$

  2. $\displaystyle <$

  3. =

  4. none

Show answer
Correct Option: B
Explanation:

$\displaystyle 12.1280< 12.129$

Find the greatest number
$25.356, 2.536, 253.6, 256.3$

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

  1. $25.356$

  2. $ 2.536$

  3. $ 253.6$

  4. $ 256.3$

Show answer
Correct Option: D
Explanation:
Arranging the given numbers in ascending order we get, 
$2.536, \ 25.356, \ 253.6,\ 256.3$

Hence, $256.3$ is the greatest number

Find the smallest number:
$206.3, 203.6, 206.7, 206.76$

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

  1. $206.3$

  2. $ 203.6$

  3. $ 206.7$

  4. $206.76$

Show answer
Correct Option: B
Explanation:

$206.3,203.6,206.7,206.76$


As $203.6$ has $3$ at one's place and rest have $6$, all other integral part being same, $203.6$ is smallest number.

Which one is greater:
$256.230,256.23$

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

  1. $256.230$

  2. $256.23$

  3. Both are equal

  4. none.

Show answer
Correct Option: C
Explanation:

$256.230,256.23$


Both the numbers are equal as in fractional part of number, $0$ has no value unless it is followed by a number to its right.

State true or false.
$1.51$ is larger number among $1.47$ and $1.51$
maths decimal numbers comparing and ordering of decimals more or less comparing decimals

  1. True

  2. False

Show answer
Correct Option: A
Explanation:
1.511.51 is larger number among 1.47  and  1.51.
As 47 is smaller than 51.
So, given statement is true. 

The widths of two boards are $8.125$ inches and $8\dfrac {1}{8}$ inches. Which number sentence correctly compares the widths of these two boards?

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

  1. $8.125 < 8 \dfrac {1}{8}$

  2. $8.125 = 8 \dfrac {1}{8}$

  3. $8.125 > 8 \dfrac {1}{8}$

  4. None of these

Show answer
Correct Option: B
Explanation:

$8\dfrac {1}{8}$ inches = $8.125$ inches.
So, the widths of boards are equal.