Chapter -1 We the Travellers — I
2. Fill in the blanks appropriately.
| Number | Number Name |
| 8,045 | Eight thousand forty-five |
| 7,209 | Seven thousand two hundred nine |
| 10,599 | Ten thousand five hundred ninety- nine |
| 10,743 | Ten thousand seven hundred forty- three |
| 20,869 | Twenty thousand eight hundred sixty-nine |
| 13,579 | Thirteen thousand five hundred seventy-nine |
| 10,010 | Ten thousand ten |
| 56,491 | Fifty-six thousand four hundred ninety-one |
| 45,045 | Forty-five thousand forty-five |
| 39,593 | Thirty-nine thousand five hundred ninety-three |
| 50,005 | Fifty thousand five |
| 26,050 | Twenty-six thousand fifty |
| 81,200 | Eighty-one thousand two hundred |
| 90,009 | Ninety thousand nine |
| 23,230 | Twenty-three thousand two hundred thirty |
| 36,001 | Thirty-six thousand one |
Question 3. Arrange the numbers below in increasing order. You can use the number line below, if required.
18,926, 34,407, 34,740, 40,347, 40,473, 47,340, 73,404, 74,430
4. A student said 9,990 is greater than 49,014 because 9 is greater than 4. Is the student correct? Why or why not? Use the number line below to find the position of the numbers. Fill in the blanks.
No, the student is not correct.
To compare 9,990 and 49,014, compare the digits from the left (highest place value):
- 9,990 has 0 ten-thousands, 9 thousands, 9 hundreds, 9 tens, 0 ones.
- 49,014 has 4 ten-thousands, 9 thousands, 0 hundreds, 1 ten, 4 ones.
Since 4 ten-thousands is greater than 0 ten-thousands, 49,014 is greater than 9,990.
Therefore:
9,990 < 49,014
The student's reasoning is incorrect because you compare numbers by place value, not just by comparing the first digit you see. The digit 9 in 9,990 is in the thousands place, while the digit 4 in 49,014 is in the ten-thousands place, which has a greater value.
5. Digit swap
(a) In the number 1,478, interchanging the digits 7 and 4 gives 1,748. Now, interchange any two digits in the number 1,478 to make a number that is larger than 5,500
(b) Interchange two digits of 10,593 to make a number
i) Between 11,000 and 15,000. ii) More than 35,000.
(c) Interchange two digits of 48,247 to make a number
i) As small as possible. ii) As big as possible
Nearest Tens (10s), Hundreds (100s), and Thousands (1,000s)
A rabbit is hungry. Its location is given in the pictures below. Its food has been kept at two places. Help the rabbit to reach its food. The rabbit is at 2,346. Its food has been kept at its neighbouring tens. On which tens should the rabbit go to get its food, with the least number of steps. 2,350 is the nearest ten of 2,346. It will need 4 jumps to reach 2,350.
The rabbit is at 2,346. Its food has been kept at its neighbouring hundreds. Which of the two hundreds should the rabbit go to? _______ is the nearest hundred of 2,346. It will need______ jumps to reach ______.
The neighbouring hundreds of 2,346 are 2,300 and 2,400.
- Distance from 2,346 to 2,300 = 46
- Distance from 2,346 to 2,400 = 54
Since 46 < 54, the rabbit should go to 2,300.
Answer:
2,300 is the nearest hundred of 2,346. It will need 46 jumps to reach 2,300
The rabbit is at 2,346. Its food has been kept at its neighbouring thousands. Which number should the rabbit go to? _________ is the nearest thousand of 2,346. It will need _______ jumps to reach ______.
The neighbouring thousands of 2,346 are 2,000 and 3,000.
- Distance from 2,346 to 2,000 = 346
- Distance from 2,346 to 3,000 = 654
Since 346 < 654, the rabbit should go to 2,000.
Answer:
2,000 is the nearest thousand of 2,346. It will need 346 jumps to reach 2,000.
Fill in the boxes appropriately
To round each number:
| Number | Nearest Tens | Nearest Hundreds | Nearest Thousands |
|---|---|---|---|
| 3,176 | 3,180 | 3,200 | 3,000 |
| 4,017 | 4,020 | 4,000 | 4,000 |
| 5,789 | 5,790 | 5,800 | 6,000 |
| 8,203 | 8,200 | 8,200 | 8,000 |
1. Vijay rounded off a number to the nearest hundred. Suma rounded off the same number to the nearest thousand. Both got the same result. Circle the numbers they might have used.
7,126, 7,835, 7,030, 6,999
To find the numbers that give the same result when rounded to the nearest hundred and nearest thousand, check each number:
- 7,126
- Nearest hundred = 7,100
- Nearest thousand = 7,000 ❌
- 7,835
- Nearest hundred = 7,800
- Nearest thousand = 8,000 ❌
- 7,030
- Nearest hundred = 7,000
- Nearest thousand = 7,000 ✅
- 6,999
- Nearest hundred = 7,000
- Nearest thousand = 7,000 ✅
Numbers they might have used are:
✅ 7,030 and 6,999
2. Think and write two numbers that have the same—
(a) Nearest ten. (b) Nearest hundred. (c) Nearest thousand.
(a) Same nearest ten:
Example: 124 and 126
- 124 → nearest ten = 120
- 126 → nearest ten = 130 ❌
A correct pair: 123 and 124
- 123 → nearest ten = 120
- 124 → nearest ten = 120 ✅
Answer: 123 and 124
(b) Same nearest hundred:
Example: 1,240 and 1,260
- 1,240 → nearest hundred = 1,200
- 1,260 → nearest hundred = 1,300 ❌
A correct pair: 1,230 and 1,240
- 1,230 → nearest hundred = 1,200
- 1,240 → nearest hundred = 1,200 ✅
Answer: 1,230 and 1,240
(c) Same nearest thousand:
Example: 4,200 and 4,800
- 4,200 → nearest thousand = 4,000
- 4,800 → nearest thousand = 5,000 ❌
A correct pair: 4,200 and 4,400
- 4,200 → nearest thousand = 4,000
- 4,400 → nearest thousand = 4,000 ✅
Answer: 4,200 and 4,400
3. Think and write the numbers that have the same—
(a) Nearest ten and nearest hundred. (b) Nearest hundred and nearest thousand. (c) Nearest ten, hundred and thousand.
(a) Same nearest ten and nearest hundred
Example: 1,249 and 1,251
- 1,249 → Nearest ten = 1,250, Nearest hundred = 1,200 ❌
- 1,251 → Nearest ten = 1,250, Nearest hundred = 1,300 ❌
A correct pair: 1,241 and 1,244
- 1,241 → Nearest ten = 1,240, Nearest hundred = 1,200 ❌
Actually, a single number can have the same result when rounded to the nearest ten and nearest hundred only when the rounded values match.
Example: 1,000 and 1,004
- 1,000 → Nearest ten = 1,000, Nearest hundred = 1,000 ✅
- 1,004 → Nearest ten = 1,000, Nearest hundred = 1,000 ✅
Answer: 1,000 and 1,004
(b) Same nearest hundred and nearest thousand
Example: 4,000 and 4,200
- 4,000 → Nearest hundred = 4,000, Nearest thousand = 4,000 ✅
- 4,200 → Nearest hundred = 4,200, Nearest thousand = 4,000 ❌
A correct pair: 4,001 and 4,049
- 4,001 → Nearest hundred = 4,000, Nearest thousand = 4,000 ✅
- 4,049 → Nearest hundred = 4,000, Nearest thousand = 4,000 ✅
Answer: 4,001 and 4,049
(c) Same nearest ten, hundred and thousand
Example: 5,001 and 5,049
- 5,001 → Nearest ten = 5,000, Nearest hundred = 5,000, Nearest thousand = 5,000 ✅
- 5,049 → Nearest ten = 5,050, Nearest hundred = 5,000, Nearest thousand = 5,000 ❌
A correct pair: 5,001 and 5,004
- 5,001 → Nearest ten = 5,000, Nearest hundred = 5,000, Nearest thousand = 5,000 ✅
- 5,004 → Nearest ten = 5,000, Nearest hundred = 5,000, Nearest thousand = 5,000 ✅
Answer: 5,001 and 5,004
1. A cyclist can cover 15 km in one hour. How much distance will she cover in 4 hours, if she maintains the same speed?
Given:
- Distance covered in 1 hour = 15 km
- Time = 4 hours
Distance covered in 4 hours:
15 × 4 = 60 km
Answer: The cyclist will cover 60 km in 4 hours.
2. A school has 461girls and 439 boys. How many vehicles are needed for all of them to go on a trip using the following modes of travel? The numbers in the bracket indicates the number of people that can travel in one vehicle.
(a) Bicycle (2)
(b) Autorickshaw (3)
(c) Car (4)
(d) Big car (6)
(e) Tempo traveller (10)
(f) Boat (20)
(g) Minibus (25)
(h) Aeroplane (180)
Total number of students = 461 girls + 439 boys = 900 people
Number of vehicles needed = Total people ÷ people per vehicle
| Mode of travel | People per vehicle | Vehicles needed |
|---|---|---|
| (a) Bicycle | 2 | 900 ÷ 2 = 450 |
| (b) Autorickshaw | 3 | 900 ÷ 3 = 300 |
| (c) Car | 4 | 900 ÷ 4 = 225 |
| (d) Big car | 6 | 900 ÷ 6 = 150 |
| (e) Tempo traveller | 10 | 900 ÷ 10 = 90 |
| (f) Boat | 20 | 900 ÷ 20 = 45 |
| (g) Minibus | 25 | 900 ÷ 25 = 36 |
| (h) Aeroplane | 180 | 900 ÷ 180 = 5 |
Answers:
(a) 450 bicycles
(b) 300 autorickshaws
(c) 225 cars
(d) 150 big cars
(e) 90 tempo travellers
(f) 45 boats
(g) 36 minibuses
(h) 5 aeroplanes
Finding Large Numbers Around Us
We saw that the distance (in kilometre) covered by different means of transport in an hour can range from a 1-digit number to a 5-digit number. Can we find other contexts around us that contain numbers in this range? Let us consider the situation below. A book has around 200 pages, and each page has about 50 words. The book therefore has about 10,000 words in all. Find something in the textbook whose count is a 4-digit number. Now, let us try this with our school.
(a) Our school has ________ classrooms.
(b) There are ________ students in my class.
(c) Our classroom has ________ books in total.
Find something in the classroom whose count is a—
(i) 4-digit number.
(ii) 5-digit number.
List some quantities whose count is a 4-digit or a 5-digit number in the context of—
(i) A tree. (ii) Your village/town/city, or any other place of your choice.
These questions ask you to observe and estimate numbers around you, so the answers will be different for each school, classroom, and place. Here are sample answers you can use as a guide:
Our school:
(a) Our school has 30 classrooms.
(b) There are 40 students in my class.
(c) Our classroom has 500 books in total.
Find something in the classroom whose count is a—
(i) 4-digit number:
- Total number of words in all the books in the classroom (for example, 10,000 words).
(ii) 5-digit number:
- Total number of letters in all the books in the classroom (for example, 50,000 letters).
Quantities whose count is a 4-digit or 5-digit number:
(i) A tree:
- Number of leaves on a large tree: about 5,000 (4-digit number).
- Number of tiny cells in leaves: more than 10,000 (5-digit number).
(ii) Village/town/city (example: a city):
- Number of people living in a small area: 10,000 (5-digit number).
- Number of houses in a town: 5,000 (4-digit number).
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