RS Aggarwal Solutions: Number System (Exercise 1A)

# RS Aggarwal Solutions: Number System (Exercise 1A) | Mathematics (Maths) Class 6 PDF Download

Q.1. Write the numeral for each of the following numbers :
(i) Nine thousand eighteen.
(ii) Fifty four thousand seventy-three.
(iii) Three lakh two thousand five hundred six.
(iv) Twenty lakh ten thousand eight.
(v) Six crore five lakh fifty-seven.
(vi) Two crore two lakh two thousand two hundred two.
(vii) Twelve crore twelve lakh twelve thousand twelve.
(viii) Fifteen crore fifty lakh twenty thousand sixty-eight.
Ans. (i) Nine thousand eighteen = 9,018.
(ii) Fifty four thousand seventy three = 54,073
(iii) Three lakh two thousand five hundred six = 3,02,506.
(iv) Twenty lakh ten thousand eight = 20,10,008.
(v) Six crore five lakh fifty-seven = 6,05,00,057.
(vi) Two crore two lakh two thousand two hundred two = 2,02,02,202.
(vii) Twelve crore twelve lakh twelve thousand twelve = 12,12,12,012.
(viii) Fifteen crore fifty lakh twenty thousand sixty-eight = 15,50,20,068.

Q.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
Ans. (i) 63,005 = Sixty three thousand five.
(ii) 7,07,075 = Seven lakh, seven thousand seventy five.
(iii) 34,20,019 = Thirty-four lakh twenty thousand nineteen.
(iv) 3,05,09,012 = Three crore, five lakh, nine thousand twelve.
(v) 5,10,03,604 = Five crore ten lakh three thousand six hundred four.
(vi) 6,18,05,008 = Six crore eighteen lakh five thousand eight.
(vii) 19,09,09,900 = Nineteen crore nine lakh, nine thousand nine hundred.
(viii) 6,15,30,807 = Six crore fifteen lakh, thirty thousand eight hundred seven.
(ix) 6,60,60,060 = Six crore sixty lakh sixty thousand sixty.

Q.3. Write each of the following numbers in the expanded form :
(i) 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
Ans.
(i) 15,768 = (1 × 10000) + (5 × 1000) + (7 × 100) + (6 × 10) + (8 × 1)
(ii) 3,08,927 = (3 × 100000) + (8 × 1000) + (9 × 100) + (2 × 10) + (7 × 1)
(iii) 24,05,609 = (2 × 1000000) + (4 × 100000) + (5 × 1000) + (6 × 100) + (9 × 1)
(iv) 5,36,18,493 = (5 × 10000000) + (3 × 1000000) + (6 × 100000) + (1 × 10000) + (8 × 1000) + (4 × 100) + (9 × 10) + (3 × 1)
(v) 6,06,06,006 = (6 × 10000000) + (6 × 100000) + (6 × 1000) + (6 × 1)
(vi) 9,10,10,510 = (9 × 10000000) + (1 × 1000000) + (1 × 10000) + (5 × 100) + (1 × 10)

Q. 4. Write the corresponding numeral for each of the following :
(i) 6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 10 + 4 × 1
(ii) 5 × 100000 + 8 × 10000 + 1 × 1000 + 6 × 100 + 2 × 10 + 3 × 1
(iii) 2 × 10000000 + 5 × 100000 + 7 × 1000 + 9 × 100 + 5 × 1

(iv) 3 × 1000000 + 4 × 100000 + 6 × 1000 + 5 × 100 + 7 × 1.
Ans. (i) 6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 10 + 4 × 1 = 60000 + 2000 + 500 + 80 + 4

= 62,584.
(ii) 5 × 100000 + 8 × 10000 + 1 × 1000 + 6 × 100 + 2 × 10 + 3 × 1 = 500000 + 80000 + 1000 + 600 + 20 + 3 = 5,81,623
(iii) 2 × 10000000 + 5 × 100000 + 7 × 1000 + 9 × 100 + 5 × 1 = 20000000 + 500000 + 7000 + 900 + 5 = 2,05,07,905
(iv) 3 × 1000000 + 4 × 100000 + 6 × 1000 + 5 × 100 + 7 × 1 = 3000000 + 400000 + 6000 + 500 + 7 = 34,06,507

Q. 5. Find the difference between the place values of the two nines in 79520986.
Ans. In 79520986
Value of first 9 = 9000000 and value of second 9 = 900
∴ Difference = 9000000 – 900  = 89,99,100

Q.6. Find the difference between the place value and the face value of 7 in 27650934.
Ans.
In 27650934 place value of 7 = 7000000 and face value of 7 = 7
∴ Difference = 7000000 – 7 = 6999993

Q. 7. How many 6-digit numbers are there in all ?
Ans. There are 900000 6-digits numbers in all
i.e. 999999 – 99999 = 900000

Q. 8. How many 7-digit numbers are there in all ?
Ans. There are 9999999 – 999999
= 9000000 7-digits numbers in all.

Q.9. How many thousands make a lakh ?
Ans. In 1,00,000, there are 100 thousands.

Q.10. How many thousands make a crore ?
Ans. In 10000,000, there are 10000 thousands.

Q.11. Find the difference between the number 738 and that obtained on reversing its digits.
Ans. Given Number = 738
Reversing its digits = 837
Difference between 738 and 837 = 837 – 738 = 99

Q.12. What comes just after 9547999 ?
Ans. Numbers after 9547999 = 9547999 + 1 = 9548000

Q.13. What comes just before 9900000 ?
Ans. Number first before 9900000 = 9900000 – 1 = 9899999

Q.14. What comes just before 10000000 ?
Ans. Number first before 10000000 = 10000000 – 1 = 9999999

Q.15. Write all 3-digits numbers using 2, 3, 4, taking each digit only once.
Ans. 3-digits numbers using 2, 3, 4 taking each digit only once will be

234, 243, 324, 342, 423, 432

Q.16. Write the smallest number of different digits formed by using the digits 3, 1, 0, 5 and 7.
Ans. The smallest number by using different digits 3, 1, 0, 5 and 7 will be = 10357

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

= 964320.

Q.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
Ans.

(i) Seven hundred thirty five thousand eight hundred twenty-one.
(ii) Six million fifty seven thousand eight hundred ninety-four.
(iii) Fifty-six million nine hundred forty-three thousand eight hundred twenty-one.
(iv) Thirty-seven million five hundred two thousand ninety-three.
(v) Eighty-nine million three hundred fifty thousand sixty-four.
(vi) Ninety million seven hundred three thousand and six.

Q.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.
Ans.

Objective Questions

Tick (√ ) the correct answer in each of the following :

Q.20. The place value of 6 in the numeral 98612453 is
(a) 6
(b) 612453
(c) 600000
(d) 986
Ans.
(c) Because 6 is at lakh place.

Q.21. The face value of 4 in the numeral 97243650 is
(a) 4
(b) 43650
(c) 40000
(d) none of these
Ans.
(a) Because face value is always same.

Q.22. The difference between the place value and the face value of 5 in the numeral 87653421 is
(a) 53416
(b) 49995
(c) 4995
(d) none of these
(b) Because place value and face value of 5 in 87653421 are 50000 and 5.
∴ difference = 50000 – 5 = 49995.

Q. 23. The smallest counting number is
(a) 0
(b) 1
(c) 10
(d) none of these
Ans.
(b) Smallest counting number or natural number is 1.

Q. 24. How many 4-digit numbers are there ?
(a) 8999
(b) 9000
(c) 8000
(d) none of these
Ans.
(b) Number of 4-digits numbers = 9999 – 999 (i.e. these are 1000 to 9999) = 9000

Q. 25. How many 7-digit numbers are there ?
(a) 8999999
(b) 9000000
(c) 1000000
(d) none of these
Ans.
(b) Number of 7-digit numbers (from 1000000 to 9999999) = 9999999 – 999999 = 9000000

Q. 26. How many 8-digit numbers are there ?
(a) 99999999
(b) 89999999
(c) 90000000
(d) none of these
Ans.
(c) Numbers of 8-digit numbers (from 10000000 to 99999999)
= 99999999 – 9999999 = 90000000

Q. 27. What comes just before 1000000 ?
(a) 99999
(b) 999999
(c) 9999999
(d) none of these
Ans.
(b) Because 1000000 – 1 = 999999

The document RS Aggarwal Solutions: Number System (Exercise 1A) | Mathematics (Maths) Class 6 is a part of the Class 6 Course Mathematics (Maths) Class 6.
All you need of Class 6 at this link: Class 6

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

## FAQs on RS Aggarwal Solutions: Number System (Exercise 1A) - Mathematics (Maths) Class 6

 1. What are the different types of numbers in the number system?
Ans. The number system consists of various types of numbers such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
 2. What are natural numbers?
Ans. Natural numbers are a set of positive numbers starting from 1 and extending to infinity, excluding zero.
 3. What are whole numbers?
Ans. Whole numbers are a set of numbers that include all the natural numbers along with zero.
 4. What are integers?
Ans. Integers are a set of numbers that include both positive and negative whole numbers along with zero.
 5. What are rational numbers?
Ans. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not equal to zero.

## Mathematics (Maths) Class 6

94 videos|347 docs|54 tests

### Up next

 Explore Courses for Class 6 exam

### Top Courses for Class 6

Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;