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Comparing Decimal Numbers - Class VII

Practice comparing, ordering, and working with decimal numbers including finding greatest/smallest values, converting fractions to decimals, and comparing decimal expressions with various operations.

22 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

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

  1. $\displaystyle (0.16)^{2}$
  2. $\displaystyle \sqrt{0.16}$
  3. 0.16
  4. $\displaystyle 0.1\overline{6}$
Question 2 Multiple Choice (Single Answer)

Compare $\displaystyle 16.1270 \Box  16.128 $

  1. >
  2. =
  3. <
  4. None of these
Question 3 Multiple Choice (Single Answer)

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

  1. >
  2. <
  3. =
  4. none of these
Question 4 Multiple Choice (Single Answer)

Which of the following expressions is true?  

  1. 1.3749 < 1.0399
  2. 1.7908 < 1.879
  3. 1.526 < 1.2605
  4. 1.463 < 1.3902
Question 5 Multiple Choice (Single Answer)

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

  1. $\displaystyle >$
  2. $\displaystyle <$
  3. =
  4. none
Question 6 Multiple Choice (Single Answer)

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

  1. $25.356$
  2. $ 2.536$
  3. $ 253.6$
  4. $ 256.3$
Question 7 Multiple Choice (Single Answer)

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

  1. $206.3$
  2. $ 203.6$
  3. $ 206.7$
  4. $206.76$
Question 8 Multiple Choice (Single Answer)

Which one is greater:
$256.230,256.23$

  1. $256.230$
  2. $256.23$
  3. Both are equal
  4. none.
Question 9 Multiple Choice (Single Answer)
State true or false.
$1.51$ is larger number among $1.47$ and $1.51$
  1. True
  2. False
Question 10 Multiple Choice (Single Answer)

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
Question 11 Multiple Choice (Single Answer)

Which of the following is correct?

  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. $0.514 < 0.732 < 0.658 < 0.813$
Question 12 Multiple Choice (Single Answer)

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. $\displaystyle\frac{1}{6} > 0.17$
Question 13 Multiple Choice (Single Answer)

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

  1. $0.9900$
  2. $0.0009$
  3. $0.9000$
  4. $0.9999$
Question 14 Multiple Choice (Single Answer)

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
Question 15 Multiple Choice (Single Answer)

Which is the smallest decimal number among the following.

  1. $3.4$
  2. $4.4$
  3. $2.3$
  4. $2.1$
Question 16 Multiple Choice (Single Answer)

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

  1. $2.3$
  2. $3.3$
  3. $5.6$
  4. $2.1$
Question 17 Multiple Choice (Single Answer)

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

  1. $>$
  2. $<$
  3. $=$
  4. None of the above
Question 18 Multiple Choice (Single Answer)

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

  1. $0.11$
  2. $0.1$
  3. $0.11^2$
  4. None of these
Question 19 Multiple Choice (Single Answer)

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

  1. $0.7$
  2. $0.25$
  3. $0.48$
  4. $0.299$
Question 20 Multiple Choice (Single Answer)

Find the greater number.
$256.356,256.869$

  1. $256.356$
  2. $256.869$
  3. Both are equal
  4. None
Question 21 Multiple Choice (Single Answer)

Find the values of each of the following correct to three places of decimals, it being given that $ \sqrt{2}=1.4142, \sqrt{3} = 1.732, \sqrt{5} = 2.2360, \sqrt{6} = 2.4495$ and $\sqrt{10} = 3.162.$ 


$\dfrac{1+\sqrt{2}}{3-2\sqrt{2}}$

  1. 14.0710
  2. 24.10710
  3. 16.0213
  4. None of the above
Question 22 Multiple Choice (Single Answer)

Find the value of the following correct to three places of decimals, it being given that $ \sqrt{2}=1.4142, \sqrt{3} = 1.732, \sqrt{5} = 2.2360, \sqrt{6} = 2.4495$ and $\sqrt{10} = 3.162.$ 


$\dfrac{3-\sqrt{5}}{3+2\sqrt{5}}$

  1. 0.102
  2. 2.1102
  3. 1.1002
  4. None of the above
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