Q.1. Write the numeral for each of the following numbers :
(i) Nine thousand eighteen.
(ii) Fifty four thousand seventythree.
(iii) Three lakh two thousand five hundred six.
(iv) Twenty lakh ten thousand eight.
(v) Six crore five lakh fiftyseven.
(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 sixtyeight.
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 fiftyseven = 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 sixtyeight = 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 = Thirtyfour 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 6digit numbers are there in all ?
Ans. There are 900000 6digits numbers in all
i.e. 999999 – 99999 = 900000
Q. 8. How many 7digit numbers are there in all ?
Ans. There are 9999999 – 999999
= 9000000 7digits 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 3digits numbers using 2, 3, 4, taking each digit only once.
Ans. 3digits 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 twentyone.
(ii) Six million fifty seven thousand eight hundred ninetyfour.
(iii) Fiftysix million nine hundred fortythree thousand eight hundred twentyone.
(iv) Thirtyseven million five hundred two thousand ninetythree.
(v) Eightynine million three hundred fifty thousand sixtyfour.
(vi) Ninety million seven hundred three thousand and six.
Q.19. Write each of the following in figures in the international placevalue chart :
(i) Thirty million one hundred five thousand sixtythree.
(ii) Fiftytwo 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 4digit numbers are there ?
(a) 8999
(b) 9000
(c) 8000
(d) none of these
Ans.
(b) Number of 4digits numbers = 9999 – 999 (i.e. these are 1000 to 9999) = 9000
Q. 25. How many 7digit numbers are there ?
(a) 8999999
(b) 9000000
(c) 1000000
(d) none of these
Ans.
(b) Number of 7digit numbers (from 1000000 to 9999999) = 9999999 – 999999 = 9000000
Q. 26. How many 8digit numbers are there ?
(a) 99999999
(b) 89999999
(c) 90000000
(d) none of these
Ans.
(c) Numbers of 8digit 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
94 videos347 docs54 tests

1. What are the different types of numbers in the number system? 
2. What are natural numbers? 
3. What are whole numbers? 
4. What are integers? 
5. What are rational numbers? 

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