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Q1. Write each of the following in numeral form:
i) Eight thousand twelve
ii) Seventy thousand fiftythree
iii) Five lakh seven thousand four hundred six
iv) Six lakh tow thousand nine
v) Thirty lakh eleven thousand one
vi) Eight crore four lakh twentyfive.
vii) Three crore three thousand three hundred three
viii) Seventeen crores sixty lakh thirty thousand fiftyseven.
i) 8,012
ii) 70,053
iii) 5,07,406
iv) 6,02,009
v) 30,11,001
vi) 8,04,00,025
vii) 3,03,03,303
viii) 17,60,30,057
Q2. Write the following numbers in words in the Indian system of numeration.
i) 42,007
ii) 4,05,045
iii) 35,42,012
iv) 7,06,04,014
v) 25,05,05,500
vi) 5,50,50,050
vii) 5,03,04,012
i) Forty two thousand seven.
ii) Four lakh five thousand forty five.
iii) Thirty five lakh forty two thousand twelve.
iv) Seven crore six lakh four thousand fourteen.
v) Twenty five crore five lakh five thousand five hundred.
vi) Five crore fifty lakh fifty thousand fifty.
vii) Five crore three lakh four thousand twelve.
Q3. Insert commas in the correct positions to separate periods and write the following numbers in words:
i) 4375
ii) 24798
iii) 857367
iv) 9050784
v) 10105607
vi) 10000007
vii) 910107104
i) 4,357
ii) 24,798
iii) 8,57,367
iv) 90,50,784
v) 1,01,05,607
vi) 1,00,00,007
vii) 91,01,07,104
Q4. Write each of the following in expanded form:
i) 3057
ii) 12345
iii) 10205
iv) 235060
i) 3057 = 3 × 1000 + 0 × 100 + 5 × 10 + 7 × 1
ii) 12345 = 1 × 10000 + 2 × 1000 + 3 × 100 + 4 × 10 + 5 × 1
iii) 10205 = 1 × 10000 + 0 × 1000 + 2 × 100 + 0 × 10 + 5 × 1
iv) 235060 = 2 × 100000 + 3 × 10000 + 5 × 1000 + 0 × 100 + 6 × 10 + 0 × 1
Q5. Write the corresponding numeral for each of the following :
i) 7 x 10000 + 2 x 1000 + 5 x 100 + 9 x 10 + 6 x 1
ii) 4 x 100000 + 5 x 1000 + 1 x 100 + 7 x 1
iii) 8 x 1000000 + 3 x 1000 + 6 x 1
iv) 5 x 10000000 + 7 x 1000000 + 8 x 1000 + 9 x 10 + 4
i) 70000 + 2000 + 500 + 90 + 6 = 72,596
ii) 400000 + 5000 + 100 + 7 = 4,05,107
iii) 8000000 + 3000 + 6 = 80,03,006
iv) 50000000 + 7000000 + 8000 + 90 + 4 = 5,70,08,094
Q6. Find the place value of the digit 4 in each of the following :
i) 74983160
ii) 8745836
i) Place value of 4 = 4 x 10,00,000 = 40,00,000
ii) Place value of 4 = 4 x 10,000 = 40,000
Q7. Determine the product of the place values of two fives in 450758.
Place value of first 5 = 5 x 10 = 50
Place value of second 5 = 5 x 10,000 = 50,000
Required product = 50 x 50,000 = 25, 00,000
Q8. Determine the difference of the place values of 7’s in 257839705.
Place value of first 7 = 7 x 10 = 700
Place value of second 7 = 7 x 10,000 = 70, 00,000
Required difference = 70, 00,000 – 700 = 69, 99,300
Q9. Determine the difference between the place value and the face value of 5 in 78654321.
The number = 7,86,54,321
The place value of 5 = 5 ten thousands = 50,000
The face value of 5 = 5
Therefore, the difference = 50,000 – 5 = 49,995
Q10. Which digits have the same face value and place value in 92078634?
The place value of a digit depends on the place where it occurs, while the face value is the value of the digit itself.
In a number, the digits that have same face value and place value are the ones digit and all the zeroes of the number.
Therefore, in 9,20,78,634, 4(the ones digit) and 0(the lakhs digit) have the same face value and place value
Q11. How many different 3 digit numbers can be formed by using the digits 0,2,5 without repeating any digit in the number?
The threedigit numbers formed using the digits 0, 2 and 5 (without repeating any digit in the number) are 250, 205, 502 and 520.
Therefore, four such numbers can be formed.
Q12. Write all possible 3 digit numbers using 6,0,4 when
i) Repetition of digits is not allowed
ii)Repetition of digits is allowed
i) 604, 640, 460, 406
ii) 666, 664, 646, 660, 606, 600, 644, 640, 604, 444, 466, 440, 446,464, 400, 404, 406, 460
Q13. Fill in the blanks :
i)1 Lakh =  ten thousand
ii) 1 Lakh =  thousand
iii) 1 Lakh =  hundred
iv) 1 Lakh =  ten
v) 1 crore =  ten Lakh
vi) 1 crore =  Lakh
vii)1 crore =  ten thousand
viii) 1 crore =  thousand
ix) 1 crore =  hundred
x) 1 crore =  ten
i) 1 Lakh = 10 ten thousand
ii) 1 Lakh = 100 thousand
iii) 1 Lakh = 1000 hundred
iv) 1 Lakh = 10000 ten
v) 1 crore = 10 ten Lakh
vi) 1 crore = 100 Lakh
vii) 1 crore = 1000 ten thousand
viii) 1 crore = 10000 thousand
ix) 1 crore = 100000 hundred
x) 1 crore = 1000000 ten
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