RS Aggarwal Class 6 Maths Chapter 1 - Number System EXERCISE 1A

RS Aggarwal 2021-2022 for Class 6 Maths Chapter 1 - Number System 

Rs Aggarwal Class 6 Math Solution Chapter 1 Number System Exercise 1A 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 3 Whole Number 

EXERCISE 1A

 1. Write the numeral for each of the following numbers:

        (i)  Nine thousand eighteen.                                                             Ans: 9,019

        (ii)  Fifty-four thousand seventy-three                   Ans: 54,073

       (iii)  Three lakh two thousand five hundred six         Ans: 3,02,506

       (iv)  Twenty lakh ten thousand eight                 Ans: 20,10,008

       (v)  Six crore five lakh fifty-seven                     Ans: 6,05,00,057 

      (vi)  Two crore two lakh two thousand two hundred two,         Ans: 2,02,02,202 

     (vii)  Twelve crore twelve lakh twelve thousand twelve          Ans: 12,12,12,020

     (viii) Fifteen crore fifty lakh twenty thousand sixty-eight         Ans: 15,50,20,068

2. Write each of the following numbers in words:

        (i)  63,005 (ii)  7,07,075 (iii)  34,20,019

         (iv)  3.05.09.012 (v)  5,10,03,604          (vi)  6,18,05,008

        (vii)  19,09,09,900          (viii)  6,15,30,807 (ix)  6,60,60,060

Solution: 

         (i) Sixty three thousand five.

(ii) Seven lakh seven thousand seventy five.

(iii) Thirty four lakh twenty thousand nineteen.

(iv) Three crore five lakh nine thousand twelve.

(v)  Five crore ten lakh three thousand six hundred four.

(vi) Six crore eighteen lakh five thousand eight.

(vii) Nineteen crore nine lakh nine thousand nine hundred.

(viii) Six crore fifteen lakh thirty thousand eight hundred seven.

(ix) Six crore sixty lakh sixty thousand sixty.

3. Write each of the following numbers in expanded form:

    (1) 15,768     (ii)  3,08,927 (iii)  24,05,609

    (iv) 5.36,18,493            (v) 6,06,06,006 (vi)  9,10,10,510

Solution: 

     (i)  (1 x 10000) + (5 x 1000) + (7 x 100) + (6 x 10) + (8 x 1)

    (ii)  (3 x 100000) + (8 x 1000) + (9 x 100) + (2 x 10) + (7 x 1)

   (iii)  (2 x 1000000) + (4 x 100000) + (5 x 1000) + (6 x 100) + (9 x 1)

   (iv)  (5 x 10000000) + (3 x 1000000) + (6 x 100000) + (1 x 10000) + (8 x 1000) 

                    + (4 x 100) + (9 x 10) + (3 x1)

    (v)  (6 x 10000000) + (6 x 100000) + (6 x 1000) + (6 x 1)

   (vi)  (9 x 10000000) + (1 x 1000000) + (1 x 10000) + (5 x 100) + (1 x 10)

4.  Write the corresponding numeral for each of the following:

            (i)  6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 10 + 4 x 1 

Solution:  = 60000 + 2000 + 500 + 80 + 4 = 62,584.

             (ii)  5 × 100000 + 8 × 10000 + 1 × 1000 + 6 × 100 + 2 × 10 + 3 × 1 

Solution:  = 500000 + 80000 + 1000 + 600 + 20 + 3 = 5,81,623

             (iii)  2 × 10000000 + 5 × 100000 + 7 × 1000 + 9 × 100 + 5 × 1 

Solution:  = 20000000 + 500000 + 7000 + 900 + 5 = 2,05,07,905

             (iv)  3 × 1000000 + 4 × 100000 + 6 × 1000 + 5 × 100 + 7 × 1 

Solution:  = 3000000 + 400000 + 6000 + 500 + 7 = 34,06,507 

5. Find the difference between the place values of the two nines in 79520986.

Solution:   The place value of 9 at ten lakhs place = 90 lakhs = 9000000

                    The place value of 9 at hundreds place = 9 hundreds = 900

$<span> \; </span><span> \; </span><span> \; </span><span> \; </span><span> \; </span>\therefore$ Required difference = (9000000 ‒ 900) = 8999100

6. Find the difference between the place value and the face value of 7 in 27650934.

Solution:  The place value of 7 in 27650934 = 70 lakhs = 70,00,000

               The face value of 7 in 27650934 = 7

               Required difference = (7000000 ‒ 7) = 69,99,993

7. How many 6-digit numbers are there in all ?

Solution:  The largest 6-digit number = 999999

                The smallest 6-digit number = 100000
                                   Total number of 6-digit numbers = (999999 ‒ 100000) + 1
                                                                     = 899999 + 1
                                                                     = 900000
                                                 

8. How many 7-digit numbers are there in all ?

Solution:  The largest 7-digit number = 9999999

                The smallest 7-digit number = 1000000
                Total number of 7-digit numbers = (9999999 - 1000000) + 1
                                                                 = 8999999 + 1
                                                                = 9000000
                                                                

9. How many thousands make a lakh ?

Solution:  One lakh (1,00,000) is equal to one hundred thousand (100 $\times$ 1000).

               Thus, one hundred thousands make a lakh.

10. How many thousands make a crore?

Solution:  One crore (1,00,00,000) is equal to one hundred lakh (10,000 ×$\times$ 1,000).

               Thus, 10,000 thousands make a crore.

11. Find the difference between the number 738 and that obtained on reversing its digits.

Solution:  The given number is 738.

               On reversing the digits of this number, we get 837.

               Required difference = 837 ‒ 738 = 99

12. What comes just after 9547999?

Solution:  The number just after 9547999 is 9547999 + 1 = 9548000. 

13. What comes just before 9900000?

Solution:  The number just before 9900000 is 9900000 ‒ 1 = 9899999.

14. What comes just before 10000000?

Solution:  The number just before 10000000 is 10000000 ‒ 1 = 9999999.

15. Write all 3-digit numbers using 2, 3, 4, taking each digit only once.

Solution:  The 3-digit numbers formed by 2, 3 and 4 by taking each digit only once are 234, 243,

                324, 342, 423 and 432.

16. Write the smallest number of different digits formed by using the digits 3, 1, 0, 5 and 7.

Solution:   The smallest number formed by using each of the given digits (i.e, 3,1,0,5 and 7) only                                        once is 10357.

17. Write the largest number of different digits formed by using the digits 2, 4, 0, 3, 6 and 9.

Solution:   The largest number formed by using each of the given digits only once is 964320.

18. Rewrite each of the following numerals with proper commas, using the international place    value chart. Also, write the number name of each in the international system.

(i) 735821                        (ii) 6057894                       (iii) 56943821

(iv) 37502093                    (v) 89350064                    (vi) 90703006  

Solution: 

	Hundred Million	Ten. Million	Million	Hundred Thousand	T.Th	Thousand	Hundred	Tens	Ones
735821				7	3	5	8	2	1
6057894			6	0	5	7	8	9	4
56943821		5	6	9	4	3	8	2	1
37502093		3	7	5	0	2	0	9	3
89350064		8	9	3	5	0	0	6	4
90703006		9	0	7	0	3	0	0	6

 The number names of the given numbers in the international system:

    (i) 735,821 = Seven hundred thirty-five thousand eight hundred twenty-one.

    (ii) 6,057,894 = Six million fifty-seven thousand eight hundred ninety-four.

    (iii) 56,943,821 = Fifty-six million nine hundred forty-three thousand eight hundred twenty-one.

    (iv) 37,502,093 = Thirty-seven million five hundred two thousand ninety-three

    (v) 89,350,064 = Eighty-nine millions three hundred fifty thousand sixty-four.

    (vi) 90,703,006 = Ninety million seven hundred three thousand and six.

 

19. Write each of the following in figures in the international place-value chart:

     (i) Thirty million one hundred five thousand sixty-three

    (ii) Fifty-two million two hundred five thousand six

    (iii) Five million five thousand five

Solution: 

	Hundred Million	Ten. Million	Million	Hundred Thousand	T.Th	Thousand	Hundred	Tens	Ones
30105063		3	0	1	0	5	0	6	3
52205006		5	2	2	0	5	0	0	6
5005005			5	0	0	5	0	0	5