Can you instantly find the greatest and the smallest numbers in each row?
(1) 382, 4972, 18, 59785, 750
Answer: 59,785 is the greatest and 18 is the smallest.
(2) 1473, 89423, 100, 5000, 310
Answer: 89,423 is the greatest and 100 is the smallest.
(3) 1834, 75284, 111, 2333, 450
Answer: 75,284 is the greatest and 111 is the smallest.
(4) 2853, 7691, 9999, 12002, 124
Answer: 9,999 is the greatest and 124 is the smallest.
Find the greatest and the smallest numbers.
(a) 4536, 4892, 4370, 4452
Answer: 4,892 is the greatest and 4,370 is the smallest.
(b) 15623, 15073, 15189, 15800
Answer: 15,800 is the greatest and 15,073 is the smallest.
(c) 25286, 25245, 25270, 25210
Answer: 25,286 is the greatest and 25,210 is the smallest.
(d) 6895, 23787, 24569, 24659
Answer: 24,659 is the greatest and 6,895 is the smallest.
(1) Use the given digits without repetition and make the greatest and smallest 4-digit numbers. (Hint: 0754 is a 3-digit number.)
(a) 2, 8, 7, 4 (b) 9, 7, 4, 1 (c) 4, 7, 5, 0 (d) 1, 7, 6, 2 (e) 5, 4, 0, 3
Answer:
(a) Greatest number is 8,742; smallest number is 2,478
(b) Greatest number is 9,741; smallest number is 1,479
(c) Greatest number is 7,540; smallest number is 4,057
(d) Greatest number is 7,621; smallest number is 1,267
(e) Greatest number is 5,430; smallest number is 3,045
(2) Now make the greatest and the smallest 4-digit numbers by using any one digit twice. (Hint: Think in each case which digit will you use twice.)
(a) 3, 8, 7 (b) 9, 0, 5 (c) 0, 4, 9 (d) 8, 5, 1
Answer:
(a) Greatest number is 8,873; smallest number is 3,378
(b) Greatest number is 9,950; smallest number is 5,009
(c) Greatest number is 9,940; smallest number is 4,009
(d) Greatest number is 8,851; smallest number is 1,158
(3) Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given.
Digit 7 is always at ones place
Answer: Greatest number is 9,997; smallest number is 1,007
Digit 4 is always at tens place
Answer: Greatest number is 9,949; smallest number is 1,040
Digit 9 is always at hundreds place
Answer: Greatest number is 9,999; smallest number is 1,900
Digit 1 is always at thousands place
Answer: Greatest number is 1,999; smallest number is 1,000
(4) Take two digits, say 2 and 3.
Which is the greatest number?
Answer: The greatest number is 3,322.
Which is the smallest number?
Answer: The smallest number is 2,233.
Make 4-digit numbers using both the digits equal number of times. How many numbers can you make in all?
Answer: Six different numbers can be made as follows (3,322) (2,233) (3,232) (2,323) (2,332) (3,223)
1. Arrange the following numbers in ascending order:
(a) 847; 9754; 8320; 571 (b) 9801; 25751; 36501; 38802
Answer:
(a) Ascending order: 571< 847< 8320< 9754
(b) Ascending order: 9801< 25751< 36501< 38802
2. Arrange the following numbers in descending order:
(a) 5000; 7500; 85400; 7861 (b) 1971; 45321; 88715; 92547
Answer:
(a) Descending order: 85400> 7861> 7500> 5000
(b) Descending order: 92547> 88715> 45321> 1971
Read and expand the numbers wherever there are blanks.
Also write five more 5-digit numbes, read and expand them.
Read and expand the numbers wherever there are blanks.
Answer the following:
1. Give five examples where the number of things counted would be more than 6-digit number.
Answer:
2. Starting from the greatest 6-digit number, write the previous five numbers in descending order.
Answer: Greatest 6-digit number: 9,99,999
Previous five numbers in descending order:
3. Starting from the smallest 8-digit number, write the next five numbers in ascending order and read them.
Answer: Smallest 8-digit number: 1,00,00,000
Next five numbers in ascending order:
1. Read the numbers. Write them using placement boxes and then write their expanded forms.
(i) 475320 (ii) 9847215 (iii) 97645310 (iv) 30458094
(a) Which is the smallest number?
Answer: 475320 because it is the only six digit number and other are more than six digits.
(b) Which is the greatest number?
Answer: 97645310 because it is highest digit number with greatest place value of crore digit.
(c) Arrange these numbers in ascending and descending orders.
Answer:
Ascending order:
475320 < 9847215 < 30458094 < 97645310 i.e. smallest to greatest
Descending order:
97645310 > 30458094 > 9847215 > 475320 i.e. greatest to smallest
2. Read these numbers
(i) 527864 (ii) 95432 (iii) 18950049 (iv) 70002509
(a) Write these numbers using placement boxes and then using commas in Indian as well as International System of Numeration.
Answer:
Number names according to Indian System of Numeration
Number names according to International System of Numeration
(b) Arrange these in ascending and descending order.
Answer:
Ascending order: 527864 < 95432 < 18950049 < 70002509
Descending order: 70002509 > 18950049 > 95432 > 527864
3. Take three more groups of large numbers and do the exercise given above.
Answer:
Number names according to Indian System of Numeration
Number names according to International System of Numeration
1. You have the following digits 4, 5, 6, 0, 7 and 8. Using them, make five numbers each with 6 digits.
Answer: 456780, 870456, 685047, 504786, 754806
(a) Put commas for easy reading.
Answer:
(b) Arrange them in ascending and descending order.
Answer:
Ascending order: 456780 < 504786 < 685047 < 754806 < 870456
Descending order: 870456 > 754806 > 685047 > 504786 > 456780
2. Take the digits 4, 5, 6, 7, 8 and 9. Make any three numbers each with 8 digits. Put commas for easy reading.
Answer:
3. From the digits 3, 0 and 4, make five numbers each with 6 digits. Use commas.
Answer:
1. How many centimeters make a kilometer?
Answer: 1 Kilometers = 1000 meters = 1, 00, 000 centimeters
2. Name five large cities in India. Find their population. Also, find the distance in kilometers between each pair of these cities.
Answer:
| City | Population |
|---|---|
| Hyderabad | 6.81 million |
| Kolkata | 4.49 million |
| Mumbai | 18.41 million |
| Ahmedabad | 5.57 million |
| Delhi | 18.98 million |
EXERCISE 1.1
1. Fill in the blanks:
(a) 1 lakh = 10 ten thousand.
(b) 1 million = 10 hundred thousand.
(c) 1 crore = 10 ten lakh.
(d) 1 crore = 10 million.
(e) 1 million = 10 lakh.
2. Place commas correctly and write the numerals:
Seventy three lakh seventy five thousand three hundred seven
Answer: 73,75,307
Nine crore five lakh forty one
Answer: 9,05,00,041
Seven crore fifty two lakh twenty one thousand three hundred two
Answer: 7,52,21,302
Fifty eight million four hundred twenty three thousand two hundred two
Answer: 58,423,202
Twenty three lakh thirty thousand ten
Answer: 23,33,010
3. Insert commas suitably and write the names according to Indian System of Numeration:
(a) 87595762 (b) 8546283 (c) 99900046 (d) 98432701
Answer:
8,75,95,762 – Eight crore seventy five lakh ninety five thousand seven hundred sixty two
85,46,283 – Eighty five lakh forty six thousand two hundred eighty three
9,99,00,046 – Nine crore ninety nine lakh forty six
9,84,32,701 – Nine crore eighty four lakh thirty two thousand seven hundred one
4. Insert commas suitably and write the names according to International System of Numeration:
(a) 78921092 (b) 7452283 (c) 99985102 (d) 48049831
Answer:
78,921,092 – Seventy eight million nine hundred twenty one thousand ninety two
7,452,283 – Seven million four hundred fifty two thousand two hundred eighty three
99,985,102 – Ninety nine million nine hundred eighty five thousand one hundred two
48,049,831 – Forty eight million forty nine thousand eight hundred thirty one
1. How many milligrams make one kilogram?
Answer: 1 Kilograms = 1000 grams = 1,00,000 centigrams = 10,00,000 milligrams
2. A box contains 2,00,000 medicine tablets each weighing 20 mg. What is the total weight of all the tablets in the box in grams and in kilograms?
Answer: Total weight of the tablets in the box,
2,00,000 × 20 mg = 4,000,000 mg
4,000,000 mg = 4,000 gm
4,000 gm = 4 kg
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