Class 5 Mathematics

Chapter 1 Solutions — We the Travellers — I

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Solutions

Overview

Step-by-step NCERT solutions for We the Travellers — I (Chapter 1, NCERT Class 5 Mathematics) — every question and answer worked out in full, not just the final result. You can also read the We the Travellers — I textbook chapter.

Solved

What these solutions cover

All 28 questions in We the Travellers — I are solved in the PDF. Here's what's inside, exercise by exercise:

Let Us Do — Reading and Writing Large Numbers (p. 5–7)

1.
Fill in the blanks by continuing the pattern in each of the following sequences.
- (a) 456 → 567 → 678 → ___ → ___ → ___ → ___
- (b) 1,050 → ___ → 3,150 → 4,200 → ___ → ___ → ___
- (c) 5,501 → 6,401 → 7,301 → ___ → ___ → ___ → ___
- (d) 10,100 → 10,200 → 10,300 → ___ → ___ → ___ → ___ (snake, ends 10,900)
- (e) 10,105 → 10,125 → ___ → ___ → ___ → ___ → ___ → ___ → ___
- (f) 10,992 → 10,993 → ___ → ___ → ___…
Fill in the blanks appropriately. Use commas as required. Number | Number Name 8,045 | Eight thousand forty-five 7,209 | ___ 10,599 | ___ ___ | Ten thousand seven hundred forty-three 20,869 | Twenty thousand eight hundred sixty-nine 13,579 | ___ ___ | Ten thousand ten ___ | Fifty-six thousand four hundred ninety-one 45,045 | ___ 39,593 | ___ 50,005 | ___ 26,050 | ___ 81,200 | ___ ___ | Ninety…
Arrange the numbers below in increasing order. You can use the number line (0 to 80,000) if required. 40,347 34,407 40,473 34,740 73,404 74,430 47,340 18,926
A student said 9,990 is greater than 49,014 because 9 is greater than 4. Is the student correct? Why or why not? Also fill in the blanks on the number line (5,000 to 50,000) to show the positions of 9,990 and 49,014.
5.
Digit swap
- (a) In the number 1,478, interchanging the digits 7 and 4 gives 1,748. Now, interchange any two digits in 1,478 to make a number 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, Hundreds, and Thousands — Rabbit Fill-ins (p. 7–8)

The rabbit is at 2,346. Its food is at the neighbouring hundreds (2,300 and 2,400). Which is the nearest hundred of 2,346? How many jumps does it need?
The rabbit is at 2,346. Its food is at the neighbouring thousands (2,000 and 3,000). Which is the nearest thousand of 2,346? How many jumps does it need?
Fill in the boxes: find the nearest tens, nearest hundreds, and nearest thousands for each number. Number | Nearest Tens | Nearest Hundreds | Nearest Thousands 3,176 | | | 4,017 | | | 5,789 | | | 8,203 | | |

Let Us Think — Rounding Numbers (p. 8–9)

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
2.
Think and write two numbers that have the same —
- (a) Nearest ten
- (b) Nearest hundred
- (c) Nearest thousand
3.
Think and write numbers that have the same —
- (a) Nearest ten and nearest hundred
- (b) Nearest hundred and nearest thousand
- (c) Nearest ten, hundred and thousand

Let Us Do — Travel Distances and Vehicles (p. 10)

A cyclist can cover 15 km in one hour. How much distance will she cover in 4 hours, if she maintains the same speed?
2.
A school has 461 girls and 439 boys. How many vehicles are needed for all of them to travel using each of the following?
- (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)

Pastime Mathematics — Logic Puzzles (p. 11–13)

River crossing puzzle: A boatman must take a lion, a sheep, and a bundle of grass across a river. He can carry one at a time. If left alone, the sheep eats the grass, and the lion eats the sheep. How does he cross everything safely in the minimum number of trips?
Pile of pebbles (Nim): Two piles, each with 7 pebbles. Players take any number from one pile per turn. The player who picks the last pebble wins. How do you play to win?
Mira's digit puzzle: Take any two different digits, form two 2-digit numbers, subtract smaller from larger, then use the two digits of the result and repeat. You always get 9 in the end. (1) What do all the differences in the example (36, 27, 45, 9) have in common? (2) Try with another pair of digits. What is always common? (3) What digits give a 1-digit number in the first step? (4) Find…

Let Us Do

Write 5 numbers between 23,568 and 24,234.
Write 5 numbers that are more than 38,125 but less than 38,600.
Ravi's car has been driven for 56,987 km. Sheetal's car has been driven 67,543 km. Whose car has been driven more?
Arrange the prices of electric bikes in ascending (increasing) order: Rs 90,000 | Rs 89,999 | Rs 94,983 | Rs 49,900 | Rs 93,743 | Rs 39,999
Arrange the town populations in descending (decreasing) order: Town 1: 65,232 | Town 2: 53,231 | Town 3: 56,380 | Town 4: 51,336 | Town 5: 45,858 | Town 6: 66,540
Find numbers between 42,750 and 53,500 such that the ones, tens, and hundreds digits are all 0.
7.
Write the following numbers in expanded form.
- (a) 783 = 700 + 80 + 3 [done]
- (b) 8,062
- (c) 9,980
- (d) 10,304
- (e) 23,004
- (f) 70,405
8.
Fill in the blanks with the correct answer.
- (a) 983 = 90 Tens + 83 Ones [done]
- (b) 68 = ___ Tens + 18 Ones
- (c) 607 = 4 Hundreds + ___ Ones
- (d) 5,621 = 4 Thousands + ___ Hundreds + 2 Tens + ___ Ones
- (e) 7,069 = ___ Thousands + 20 Hundreds + ___ Ones
- (f) 37,608 = ___ Ten Thousands + 17 Thousands + ___ Hundreds + 8 Ones
- (g) 43,001 = 3 Ten Thousands + ___ Thousands + ___ Hundreds + 1 Ones
9.
Fill in the blanks.
- (a) How many notes of Rs 10 are there in Rs 7,934?
- (b) How many notes of Rs 100 are there in Rs 7,934?
- (c) How many thousands are there in 7,934?
- (d) How many Rs 500 notes are there in Rs 7,934? (Hint: observe answer of (c))
- (e) How many notes of Rs 10 are there in Rs 65,342?
- (f) How many notes of Rs 100 are there in Rs 65,342?
- (g) How many thousands are there in 65,342? (h)…

King's Horses — Counting Puzzle (p. 15–16)

The caretaker arranged 19 horses (after 1 was stolen from 20) in the square stable so that the king counted 5 along each side and believed all 20 were present. Count the horses in the figure one by one. Were there really 20? What was the caretaker's trick?
Another horse is stolen (18 remain). The caretaker again arranges 18 horses so that there are 5 on each side. How is this possible? Arrange the 18 horses in the stable with 5 on each side.
How many more horses can the thief steal before the king notices something is wrong?

Sample

Worked examples

3 questions from We the Travellers — I, solved step by step.

Let Us Do — Reading and Writing Large Numbers (p. 5–7)

Arrange the numbers below in increasing order. You can use the number line (0 to 80,000) if required. 40,347 34,407 40,473 34,740 73,404 74,430 47,340 18,926

Compare by number of digits, then leading digit, then next digit, and so on.

All are 5-digit numbers. Sort by ten-thousands digit first:

18,926 (1_), 34,407 (3_), 34,740 (3_), 40,347 (4_), 40,473 (4_), 47,340 (4_), 73,404 (7_), 74,430 (7_)

34,407 vs 34,740: both 34,___; 4 < 7 in hundreds → 34,407 < 34,740

40,347 vs 40,473: both 40,___; 3 < 4 in hundreds → 40,347 < 40,473

40,473 vs 47,340: 40,___ < 47,___ ✓

73,404 vs 74,430: 73,___ < 74,___ ✓

Answer: 18,926 < 34,407 < 34,740 < 40,347 < 40,473 < 47,340 < 73,404 < 74,430

Nearest Tens, Hundreds, and Thousands — Rabbit Fill-ins (p. 7–8)

The rabbit is at 2,346. Its food is at the neighbouring hundreds (2,300 and 2,400). Which is the nearest hundred of 2,346? How many jumps does it need?

2,346 lies between 2,300 and 2,400.

Distance to 2,300: 2,346 − 2,300 = 46 jumps.

Distance to 2,400: 2,400 − 2,346 = 54 jumps.

Since 46 < 54, the nearest hundred is 2,300.

Answer: 2,300 is the nearest hundred of 2,346. It will need 46 jumps to reach 2,300.

Let Us Think — Rounding Numbers (p. 8–9)

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

We need: nearest_hundred(n) = nearest_thousand(n).

7,126: nearest hundred = 7,100; nearest thousand = 7,000. Different.

7,835: nearest hundred = 7,800; nearest thousand = 8,000. Different.

7,030: nearest hundred = 7,000; nearest thousand = 7,000. SAME ✓

6,999: nearest hundred = 7,000; nearest thousand = 7,000. SAME ✓

Answer: 7,030 and 6,999 — both round to 7,000 for both nearest hundred and nearest thousand.

All 28 questions in We the Travellers — I are solved step by step in the Solutions PDF above.

Keep solving

Chapter 1 Solutions — We the Travellers — I

Overview

What these solutions cover

Let Us Do — Reading and Writing Large Numbers (p. 5–7)

Nearest Tens, Hundreds, and Thousands — Rabbit Fill-ins (p. 7–8)

Let Us Think — Rounding Numbers (p. 8–9)

Let Us Do — Travel Distances and Vehicles (p. 10)

Pastime Mathematics — Logic Puzzles (p. 11–13)

Let Us Do

King's Horses — Counting Puzzle (p. 15–16)

Worked examples

Arrange the numbers below in increasing order. You can use the number line (0 to 80,000) if required. 40,347 34,407 40,473 34,740 73,404 74,430 47,340 18,926

The rabbit is at 2,346. Its food is at the neighbouring hundreds (2,300 and 2,400). Which is the nearest hundred of 2,346? How many jumps does it need?

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

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