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**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

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- RS Aggarwal Solutions: Number System Exercise - 1B
- RS Aggarwal Solutions: Number System Exercise - 1C
- RS Aggarwal Solutions: Number System Exercise - 1D
- RS Aggarwal Solutions: Number System Exercise - 1E
- RS Aggarwal Solutions: Number System Exercise - 1F
- RS Aggarwal Solutions: Number System Exercise - 1G