CHAPTER 1: KNOWING OUR NUMBERS
Exercise 1.1
SET I
Find the greatest and the smallest numbers in each row.
1. 92, 392, 4456, 89742
2. 1902, 1920, 9201, 9021, 9210
3. 382, 4972, 18, 59785, 750
4. 1473, 89423, 100, 5000, 310
5. 1834, 75284, 111, 2333, 450
6. 2853, 7691, 9999, 12002, 124
7. Use the given digits without repetition and make the greatest and smallest 4-digit numbers:
(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
8. Make the greatest and the smallest 4-digit numbers by using any one digit twice.
(a) 3, 8, 7
(b) 9, 0, 5
(c) 0, 4, 9
(d) 8, 5, 1
9. Make the greatest and the smallest 4-digit numbers using any four different digits with conditions as given.
(a) Digit 7 is always at ones place
(b) Digit 4 is always at tens place
(c) Digit 9 is always at hundreds place
(d) Digit 1 is always at thousands place
10. Take two digits, say 2 and 3. Make 4-digit numbers using both the digits equal number of times.
(a) Which is the greatest number?
(b) Which is the smallest number?
(c) How many different numbers can you make in all?
11. Arrange the following numbers in ascending order:
(a) 847, 9754, 8320, 571
(b) 9801, 25751, 36501, 38802
12. Arrange the following numbers in descending order:
(a) 5000, 7500, 85400, 7861
(b) 1971, 45321, 88715, 92547
13. Write and expand the numbers wherever there are blanks
| Number | Number Name | Expansion |
(a) | 20000 | twenty thousand | 2 × 10000 |
(b) | 26000 | ______________ | _______________. |
(c) | 38400 | ______________ | _______________. |
(d) | 65740 | ______________ | _______________. |
(e) | 50000 | ______________ | _______________. |
(f) | 41000 | ______________ | _______________. |
(g) | 47300 | ______________ | _______________. |
(h) | 57630 | ______________ | _______________. |
(i) | 29485 | ______________ | _______________. |
(j) | 29085 | ______________ | _______________. |
(k) | 20085 | ______________ | _______________. |
(l) | 20005 | ______________ | _______________. |
(m) | 300000 | ______________ | _______________. |
(n) | 350000 | ______________ | _______________. |
(o) | 353500 | ______________ | _______________. |
(p) | 457928 | ______________ | _______________. |
(q) | 407829 | ______________ | _______________. |
(r) | 400829 | ______________ | _______________. |
(s) | 400029 | ______________ | _______________. |
(t) | 300000 | ______________ | _______________. |
14. Give five examples where the number of things counted would be more than 6-digit number.
15. Starting from the greatest 6-digit number, write the previous five numbers in descending order.
16. Starting from the smallest 8-digit number, write the next five numbers in ascending order and read them.
17. Read these 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?
(b) Which is the greatest number?
(c) Arrange these numbers in ascending and descending orders.
18. 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.
(b) Arrange these in ascending and descending order.
19. You have the following digits 4, 5, 6, 0, 7 and 8. Using them, make five numbers each with 6 digits.
(a) Put commas for easy reading.
(b) Arrange them in ascending and descending order.
20. Take the digits 4, 5, 6, 7, 8 and 9. Make any three numbers each with 8 digits. Put commas for easy reading.
21. From the digits 3, 0 and 4, make five numbers each with 6 digits. Use commas.
SET II
1. Fill in the blanks:
a) 1 lakh =_____ten thousand
b) 1 million=_____hundred thousand
c) 1 crore =_____ten lakh
d) 1 crore =_____million
e) 1 million=_____lakh
2. Place commas correctly and write the numerals:
(a) Seventy-three lakh seventy-five thousand three hundred seven.
(b) Nine crore five lakh forty-one.
(c) Seven crore fifty-two lakh twenty-one thousand three hundred two.
(d) Fifty-eight million four hundred twenty-three thousand two hundred two.
(e) Twenty-three lakh thirty thousand ten.
3. Insert commas suitable and write the names according to Indian system of numeration:
(a) 87595762
(b) 8546283
(c) 99900046
(d) 98432701
4. Insert commas suitable and write the names according to International system of numeration:
(a) 78921092
(b) 7452283
(c) 99985102
(d) 48049831
SET III
Exercise 1.2
SET I
1. How many milligrams make one kilogram?
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?
3. Population of Sundarnagar was 2,35,471 in the year 1991. In the year 2001 it was found to be increased by 72,958. What was the population of the city in 2001?
4. In one state, the number of bicycles sold in the year 2002-2003 was 7,43,000. In the year 2003-2004, the number of bicycles sold was 8,00,100. In which year were more bicycles sold? And how many more?
5. The town newspaper is published every day. One copy has 12 pages. Everyday 11,980 copies are printed. How many total pages are printed everyday?
6. The number of sheets of paper available for making notebooks is 75,000. Each sheet makes 8 pages of a notebook. Each notebook contains 200 pages. How many notebooks can be made from the paper available?
SET II
1. A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. Find the total number of tickets sold on all the four days.
2. Shekhar is a famous cricket player. He has so far scored 6980 runs in test matches. He wishes to complete 10,000 runs. How many more runs does he need?
3. In an election, the successful candidate registered 5,77,500 votes and his nearest rival secured 3,48,700 votes. By what margin did the successful candidate win the election?
4. Kirti bookstore sold books worth Rs 2,85,891 in the first week of June and books worth Rs 4,00,768 in the second week of the month. How much was the sale for the two weeks together? In which week was the sale greater and by how much?
5. Find the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once.
6. A machine, on an average, manufactures 2,825 screws a day. How many screws did it produce in the month of January 2006?
7. A merchant had Rs 78,592 with her. She placed an order for purchasing 40 radio sets at Rs 1200 each. How much money will remain with her after the purchase?
8. A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?)
9. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain?
(Hint: convert data in cm.)
10. Medicine is packed in boxes, each weighing 4 kg 500g. How many such boxes can be loaded in a van which cannot carry beyond 800 kg?
11. The distance between the school and the house of a student’s house is 1 km 875 m. Every day she walks both ways. Find the total distance covered by her in six days.
12. A vessel has 4 litres and 500 ml of curd. In how many glasses, each of 25 ml capacity, can it be filled?
SET III
Exercise 1.3
SET I
1. Round these numbers to the nearest tens.
28 32 52 41 39 48 64 59 99 215 1453 2936
2. Round off the given numbers to the nearest tens, hundreds and thousands.
Given Number | Approximate to Nearest | Rounded Form |
75847 | Tens | ________________ |
75847 | Hundreds | ________________ |
75847 | Thousands | ________________ |
75847 | Ten thousands | ________________ |
3. Estimate: 5,290 + 17,986.
4. Estimate: 5,673 – 436
SET II
1. Estimate each of the following using general rules:
(a) 730 + 998
(b) 796 – 314
(c) 12,904 +2,888
(d) 28,292 – 21,496
Make ten more such examples of addition, subtraction and estimation of their outcome.
2. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate (by rounding off to nearest tens):
(a) 439 + 334 + 4,317
(b) 1,08,734 – 47,599
(c) 8325 – 491
(d) 4,89,348 – 48,365
Make four more such examples.
3. Estimate the following products using general rule:
(a) 578 × 161
(b) 5281 × 3491
(c) 1291 × 592
(d) 9250 × 29
Make four more such examples.
SET III
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