Decimals(6th Grade > Mathematics ) Questions and Answers

Question 1.


Which of the following fraction will give non-terminating decimal on conversion?


  1.     83
  2.     38
  3.     12
  4.     714
Explanation:-
Answer: Option A. -> 83
:
A

Among the options, only 83 is the fraction which will give non-terminating decimal. This is because all other options have denominator having on 2 and 5 as prime factors after standardising.



Question 2.


In a marathon of 5.75 km,  first break was taken after running 2.8 km and second break  after another 1.3 km . Find the distance left to finish the marathon.


  1.     1.65 km
  2.     1.75 km
  3.     1.85 km
  4.     1.95 km
Explanation:-
Answer: Option A. -> 1.65 km
:
A

Total distance covered before second halt =  (2.8 + 1.3) km = 4.1 km


Therefore, distance left = (5.75 - 4.10) km = 1.65 km



Question 3.


If ₹ 70 is distributed equally among 40 poor children, how much will each child get?


  1.     ₹17.5
  2.     ₹1.75
  3.     ₹2.80
  4.     ₹ 3.20
Explanation:-
Answer: Option B. -> 1.75
:
B

Amount each child will get =Total moneyNumber of children=7040=74=7×254×25=175100=1.75
So, each child will get ₹ 1.75.



Question 4.


Which one of the following lies between 0.3 and 0.7?


  1.     0.2
  2.     0.4
  3.     0.8 
  4.     0.9 
Explanation:-
Answer: Option B. -> 0.4
:
B

Consider 0.9, it is greater than 0.7 as well as 0.3, hence it cannot lie between 0.3 and 0.7. Similarly, 0.2 and 0.8 cannot lie between 0.3 and 0.7.


But, 0.4 is greater than 0.3 and less than 0.7. Hence, it lies between 0.3 and 0.7.
OR
0.2 has 2 tenths, 0.3 has 3 tenths, 0.4 has 4 tenths, 0.7 has 7 tenths, 0.8 has 8 tenths and 0.9 has 9 tenths.
2 tenths<3 tenths<4 tenths<7 tenths<8 tenths<9 tenths
0.2<0.3<0.4<0.7<0.8<0.9
Thus, 0.4 lies between 0.3 and 0.9.



Question 5.


Find the digit in the hundredths place in the number 562.3254.


  1.     3
  2.     5
  3.     6
  4.     2
Explanation:-
Answer: Option D. -> 2
:
D

The place value chart for the decimal number 562.3254 is as below:


Hundreds             5 
Tens                     6    
Ones                    2  
Tenths                  3   
Hundredths          2    
Thousandths        5   
Ten-thousandths  4
So, the digit in the hndredths place in the number 562.3254 is 2.



Question 6.


Convert 1.25 into a fraction in its simplest form.


  1.     12
  2.     34
  3.     54
  4.     74
Explanation:-
Answer: Option C. -> 54
:
C

1.25=125100  
        =5×254×25 
        =54
1.25=54



Question 7.


Ram bought 5.5 kg of rice at Rs. 13.5 per kg. What was the total cost of rice?


  1.     Rs 74.25
  2.     Rs. 42.96
  3.     Rs. 73.96
  4.     Rs. 43.69
Explanation:-
Answer: Option A. -> Rs 74.25
:
A

Total cost = Amount of rice × rate per kg
               = 5.5 × 13.5
The product is given by:
Ram Bought 5.5 Kg Of Rice At Rs. 13.5 Per Kg. What Was The T...
So, the total amount paid is Rs. 74.25.



Question 8.


59.365 + 362.58 + 64.187 = ______.


  1.     468.123
  2.     486.322
  3.     486.122 
  4.     486.132 
Explanation:-
Answer: Option D. -> 486.132 
:
D

Addition should be done as follows:            


                          59.365


                     + 362.580


                     +   64.187


                        486.132
So, the answer is 486.132.



Question 9.


Represent 435 as a decimal.


  1.     3.6
  2.     4.6
  3.     5.6
  4.     6.6
Explanation:-
Answer: Option B. -> 4.6
:
B


435=235=2×232×5=4610 = 4.6



Question 10.


The number which is greater among 0.0037 and 0.0307 is __.


Explanation:-
Answer: Option B. -> 4.6
:

Compare the decimals.Till tenth place, digits are same. But digit at hundredth place in 0.0307 is more than the digit at hundredth place in 0.0037. So, 0.0307 is greater than 0.0037.