Tag: maths

Questions Related to maths

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.

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$.