RS Aggarwal Class 6 Maths Solutions Chapter 7- Decimal Exercise 7D

RS Aggarwal 2021-2022 for Class 6 Maths Solutions Chapter 7- Decimal

RS Aggarwal Class 6 Math Solution Chapter 7- Decimal Exercise 7D is available here. RS Aggarwal Class 6 Math Solutions are solved by expert teachers in step by step, which help the students to understand easily. RS Aggarwal textbooks are responsible for a strong foundation in Maths. These textbook solutions help students in exams as well as their daily homework routine. The solutions included are easy to understand, and each step in the solution is described to match the students’ understanding.

Rs Aggarwal Class 6 Math Solution Chapter 7- Decimal


 Exercise 7D

Subtract: 

1. 27.86 from 53.74


Solution:

    = 53.74 – 27.86

    = 25.88 Ans.

    Working in column method:

        53.74

     27.86

       25.88



2. 64.98 from 103.87


Solution:

    = 103.87 – 64.98

    = 38.89 Ans.

    Working in column method:

     103.87

     64.98

        38.89



3. 59.63 from 92.4


Solution:

    = 92.40 – 59.63

    = 32.77 Ans.

    Working in column method:

        92.40

    59.63

        32.77



4. 56.8 from 204


Solution:

    = 204.0 – 56.8

    = 147.2 Ans.

    Working in column method:

         204.00

       56.80

         147.20



5. 127.38 from 216.2


Solution:

    = 216.20 – 127.38

    = 88.82 Ans.

    Working in column method:

        216.20

     127.38

        088.82



6. 39.875 from 70.68


Solution:

    = 70.680 – 39.875

    = 30.805 Ans.

    Working in column method:

        70.680

     39.875

      30.805



7. 348.237 from 523.12


Solution:

    = 523.120 – 348.237

    = 174.883 Ans

    Working in column method:

        523.120

     348.237

       174.883



8. 458.573 from 600


Solution:

    = 600.000 – 458.573

    = 141.427 Ans.

Working in column method:

    600.000

458.573

   141.427



9. 149.456 from 206.321


Solution:

    = 206.321 – 149.456

    = 56.865 Ans.

    Working in column method:

        206.321

     149.456

         56.865



10. 0.612 from 3.4


Solution:

    = 3.400 – 0.612

    = 2.788 Ans

    Working in column method:

        3.400

     0.612

       2.788


Simplify: 


11. 37.600 + 72.850 – 58.678 – 6.090


Solution:

    = (37.600 + 72.850) – (58.678 + 6.090)

    = 110.450 – 64.768

    = 45.682


    Working:

        37.60 58.678 + 72.85 + 6.090 110.45 64.768


        110.450 − 64.768 45.682



12. 75.3 – 104.645 + 178.96 – 47.9


Solution:

    (Converting into like decimals)

    = 75.300 – 104.645 + 178.960 – 47.900

    = 75.300 + 178.960 – 104.645 – 47.900

    = (75.300 + 178.960) – (104.645 + 47.900)

    = 254.260 – 152.545

    = 101.715 Ans.


    Working:

      178.96 104.645 + 75.30 + 47.900 254.26 152.545


        254.260 − 152.545 101.715



13. 213.4 – 56.84 – 11.87 – 16.087


Solution:

    (Converting into like decimals)

    = 213.400 – 56.840 – 11.870 – 16.087

    = 213.400 – (56.840 + 11.870 + 16.087)

    = 213.400 – 84.797

    = 128.603 Ans.


    Working:

       56.840                            213.400 11.870                          84.797

+ 16.087                           128.603  

     84.797



14. 76.3 –  7.666 –  6.77


Solution:

    (Converting into like decimals)

    = 76.300 – 7.666 – 6.770 

    = 76.300 – 14.436

    = 61.864 Ans.


    Working:
         7.666                   76.300                
     +  6.770               14.436                      
       14.436                   61.864  


15. What is to be added to 74.5 to get 91?


Solution:

    In order to get the required number, we have to subtract 74.5 from 91.     Required number = 91 – 74.5                                 = 91.0 – 74.5                                 = 16.5 Ans.


    Working:

        91.0 − 74.5 16.5     Thus, 16.5 is the required number.



16. What is to be subtracted from 7.3 to get 0.862?

 

Solution:

    In order to get the required numbers, we have to subtract 0.862 from 7.3.     Required number = 7.3 – 0.862                                  = 7.300 – 0.862                                  = 6.438 Ans.


    Working:

        7.300 − 0.862 6.438     Thus, 6.438 is the required number.



17. By how much should 23.754 be increased to get 50?


Solution:

    In order to get the required number, we have to subtract 23.754 from 50     Required number = 50 – 23.754                                  = 50.000 – 23.754                                  = 26.246 Ans.


    Working:

     50.000 − 23.754 26.246



18. By how much should 84.5 be decreased to get 27.84?


Solution:

    In order to get the required number, we should subtract 27.84 from 84.5     Required number = 84.5 – 27.84                                  = 84.50 – 27.84                                  = 56.66 Ans.


    Working:

     84.50 − 27.84 56.66



19. If the school bags of Neelam and Garima weigh 6 kg 80 g and 5 kg 265 g                 respectively, whose bag is heavier and by how much? 


Solution:

    Weight of Neelam’s bag     = 6 kg 80 g     Weight of Garima's bag      = 5 kg 265 g     Difference in their weights = 6 kg 80 g – 5 kg 265 g                                                = 6.080 kg – 5.265 kg                                                = 0.815 kg                                                 = 815 g     Neelam’s bag is heavier by 815 g Ans.



20. Kunal purchased a notebook for Rs. 19.75, a pencil for Rs. 3.85 and a pen for

     Rs. 8.35 from a book shop. He gave a 50-rupee note to the shopkeeper. What             amount did he get back? 


Solution:

    Cost of the notebook = Rs 19.75     Cost of the pencil = Rs 3.85     Cost of the pen = + Rs 8.35     Total cost payable = Rs 31.95     Total money paid      = Rs. 50.00     Total money spent     = − Rs. 31.95     Balance     = Rs. 18.05     Thus, Kunal got back Rs 18.05 from the shopkeeper.



21. Sunita purchased 5 kg 75 g of fruits and 3 kg 465 g of vegetables, and put them

    in a bag. If this bag with these contents weighs 9 kg, find the weight of the empty         bag.


Solution:
    Weight of the fruits                              = 5 kg 075 g     Weight of the vegetables                      = + 3 kg 465 g     Total weight of the contents of the bag = 8 kg 540 g     Total weight of the bag with its contents =     9 kg 000 g     Total weight of the contents of the bag =    8 kg 540 g     Weight of the empty bag                         = 0 kg 460 g
    Thus, the weight of the empty bag is 460 grams.





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