Number System

Q1: Write the numeral for each of the following :

i. Eight lakh five thousand twelve

= 8,05,012

ii. Thirteen lakh three thousand eight

= 13,03,008

iii. Three crore three lakh three thousand three

= 3,03,03,003

iv. Five crore twelve lakh eighteen

= 5,12,00,018

v. Nine crore nineteen lakh five thousand eight

= 9,19,05,008

vi. Six crore thirty five lakh nineteen thousand sixteen

= 6,35,19,016

vii. Eleven crore twenty two lakh thirty three thousand four hundred fifty

= 11,22,33,450

Q2: Write each of the following in words :

i. 8,08,080

= Eight lakh eight thousand eighty

ii. 15,07,063

= Fifteen lakh seven thousand sixty-three

iii. 87,08,109

= Eighty-seven lakh eight thousand one hundred nine

iv. 2,14,05,063

= Two crore fourteen lakh five thousand sixty-three

v. 3,03,03,103

= Three crore three lakh three thousand one hundred three

vi. 10,06,05,368

= Ten crore six lakh five thousand three hundred sixty-eight

Q3:

i. Write the place value of 4 in 8,46,572:

4 is in the ten-thousands place.
Place Value = 4 × 10,000 = 40,000

ii. Write the place value of 7 in 7,30,493:

7 is in the lakhs place.
Place Value = 7 × 1,00,000 = 7,00,000

iii. Write the place value of 6 in 23,76,400:

6 is in the thousands place.
Place Value = 6 × 1,000 = 6,000

iv. Write the place value of 9 in 19,63,605:

9 is in the ten lakhs place.
Place Value = 9 × 1,00,000 = 9,00,000

v. Write the place value of 8 in 20,07,189:

8 is in the tens place.
Place Value = 8 × 10 = 80

vi. Write the place value of 3 in 23,608:

3 is in the thousands place.
Place Value = 3 × 1,000 = 3,000

Q4: Find the difference between the place-values of two sixes in 6,56,348.

One 6 is in the lakhs place, another 6 is in the thousands place.
6 × 1,00,000 = 6,00,000
6 × 1,000 = 6,000
Difference = 6,00,000 – 6,000 = 5,94,000

Q5: Find the difference between the place-value and the face-value of 8 in the numeral 5,86,273.

8 is in the ten-thousands place.
Place Value = 8 × 10,000 = 80,000
Face Value = 8
Difference = 80,000 – 8 = 79,992

Q6: Write each of the following in expanded form:

i. 5,16,287

= (5 × 1,00,000) + (1 × 10,000) + (6 × 1,000) + (2 × 100) + (8 × 10) + (7 × 1)

ii. 13,25,694

= (1 × 10,00,000) + (3 × 1,00,000) + (2 × 10,000) + (5 × 1,000) + (6 × 100) + (9 × 10) + (4 × 1)

iii. 8,08,808

= (8 × 1,00,000) + (8 × 1,000) + (8 × 100) + (8 × 1)

iv. 64,72,319

= (6 × 10,00,000) + (4 × 1,00,000) + (7 × 10,000) + (2 × 1,000) + (3 × 100) + (1 × 10) + (9 × 1)

v. 1,36,04,107

= (1 × 1,00,00,000) + (3 × 10,00,000) + (6 × 1,00,000) + (4 × 1,000) + (1 × 100) + (7 × 1)

vi. 9,36,50,519

= (9 × 1,00,00,000) + (3 × 10,00,000) + (6 × 1,00,000) + (5 × 10,000) + (5 × 100) + (1 × 10) + (9 × 1)

Q7: Write the number corresponding to each of the following:

i. (5×1,00,000)+(1×10,000)+(4×1,000)+(7×100)+(3×10)+(8×1)

= 5,14,738

ii. (6×1,00,000)+(6×1,000)+(3×10)+(6×1)

= 6,06,036

iii. (1×10,00,000)+(2×1,00,000)+(3×10,000)+(4×100)+(6×10)+(9×1)

= 12,30,469

iv. (2×10,00,000)+(3×1,00,000)+(7×1,000)+(9×100)+(4×10)+(5×1)

= 23,79,945

v. (9×10,00,000)+(8×1,000)+(8×100)+(8×1)

= 90,08,888

Q8: Write the successor of each of the following:

i. 6,001

→ 6,002

ii. 1,099

→ 1,100

iii. 12,749

→ 12,750

iv. 2,19,708

→ 2,19,709

v. 62,399

→ 62,400

Q9: Write the predecessor of each of the following numbers:

i. 99

→ 98

ii. 1,305

→ 1,304

iii. 32,000

→ 31,999

iv. 1,65,000

→ 1,64,999

Q10: Write the whole number whose successor is:

i. 100

→ 99

ii. 6,299

> → 6,298

iii. 71,650

→ 71,649

iv. 42,000

→ 41,999

Q11: Write the whole number whose predecessor is:

i. 1,000

→ 1,001

ii. 3,189

→ 3,190

iii. 3,001

→ 3,002

iv. 8,000

→ 8,001

v. 9,999

→ 10,000

Q12: Write down three consecutive whole numbers succeeding 72,597.

72,598, 72,599, 72,600

Q13: Write down three consecutive whole numbers just preceding 5,10,001.

5,10,000, 5,09,999, 5,09,998

Q14: How many 6-digit numbers are there in all?

Largest 6-digit number = 9,99,999
Smallest 6-digit number = 1,00,000
= 9,99,999 – 1,00,000 + 1 = 9,00,000

Q15:

i. Write the largest 8-digit number.

9,99,99,999

ii. Write the smallest 8-digit number.

1,00,00,000

Q16: Write all possible 2-digit numbers formed by the digits 3, 7 and 9, when repetition of digit is not allowed.

= 37, 39, 73, 79, 93, 97

Q17:

i. Write all possible 3-digit numbers that can be formed by the digits 1, 3 and 7, using each digit only once in each number.

= 137, 173, 317, 371, 713, 731

ii. Write all possible 3-digit numbers that can be formed by the digits 9, 2 and 0, using each digit only once in each number.

= 209, 290, 902, 920

Q18:

i. Write the smallest 4-digit number that can be formed by the digits 0, 1, 3 and 6, using each digit only once.

= 1036

ii. Write the greatest number that can be formed by the digits 0, 2, 7 and 5, using each digit only once.

= 7520

Q19: Write the smallest 4-digit number of four different digits.

= 1023

Q20: Write the greatest 4-digit number of four different digits.

= 9876