Questions Related to maths

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

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?

  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

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

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

Which of the following expressions is CORRECT?

  1. $0.6 < 0.06$
  2. $0.66=\displaystyle\frac{5}{9}$
  3. $455 > \displaystyle\frac{11}{25}$
  4. $\displaystyle\frac{1}{6} > 0.17$
Reveal answer Fill a bubble to check yourself
C Correct answer
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.

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

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

  1. $<$
  2. $>$
  3. $=$
  4. Can't be determined

Reveal answer Fill a bubble to check yourself
B Correct answer
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$.