02. Worksheet Solutions: Fractions

Q1: Divide each collection into two equal parts by dotted lines:

(i) 

(ii) 

(iii) 

Ans:

Q2: In each of the following write the fraction representing the shaded portion:

(i) 

Ans: = 1/3

(ii)      
Ans: = 1/4

(iii) 
Ans: = 1/3

Q3: Write the fraction whose.
(i) Numerator is 7 and denominator is 15.
Ans:
 7/15

(ii) Numerator is 22 and denominator is 35.
Ans: 
22/35

Q4: Divide each collection into a suitable number of equal parts and fill in the blanks:

(i) 

1/2 of 8 = ______.

Ans: 4

(ii) 

1/8 of 16 = ______.

Ans: 2

(iii) 

5/6 of 18 = ______.
Ans: 
15

Q5: Draw a collection of objects. Divide the collection into suitable number of equal parts and find

(i) 1/3 of 9

Ans:

= 3

(ii) 3/7 of 14
Ans:

= 6

(iii) 4/9 of 18
Ans:

= 8

Q6: Write the next three equivalent fractions of each of the following

(i) 1/4
Ans:
2/8, 4/16, 8/32

(ii) 2/3
Ans: 4/6, 8/12, 16/24

(iii) 5/9
Ans:
 10/18, 20/36, 40/72

(iv) 4/7
Ans:
 8/14, 16/28, 32/56

Q7: Fill in the missing numerators to make the statement true:
(i) 

Ans: 15

(ii) 

Ans: 5

(iii) 
Ans: 5

Q8: Find an equivalent fraction of 3/4 with:
(i) Numerator 15
Ans:
 Equivalent fraction of 3/4 with numerator 15: (3/4) × (5/5) = 15/20.

(ii) Denominator 48
Ans: 
Equivalent fraction of 3/4 with denominator 48: (3/4) x (12/12) = 36/48.

(iii) denominator 24
Ans:
 Equivalent fraction of 3/4 with denominator 24: (3/4) × (6/6) = 18/24.

Q9: Fill in the missing denominators to make the statement true:
(i) 

Ans: 21

(ii) 
Ans: 9

(iii) 

Ans: 40

Q10: Check whether the given fractions are equivalent:

(i) 3/15, 1/5

Ans: 3/15 in the simplest form is 1/5, thus equivalent.

(ii) 2/11, 6/21
Ans: 6/21 in the simplest form is 2/7, thus not equivalent.

(iii) 4/9, 8/18
Ans: 8/18 in the simplest form is 4/9, thus equivalent.

Q11: State whether the fraction is in its lowest terms or not:
(i) 12/20 
Ans: 
NO
The simplest form of 12/20 is 3/5.

(ii) 4/6
Ans: NO
The simplest form of 4/6 is 2/3.

(iii) 80/81
Ans: 
YES
The simplest form of 80/81 is 80/81 itself.

Q12: Reduce to the lowest terms: 
(i) 21/28
Ans: The simplest form of 21/28 is 3/4.

(ii) 45/60
Ans: The simplest form of 45/60 is 3/4.

(iii) 36/54
Ans: The simplest form of 36/54 is 2/3.

Q13: Encircle the fraction which is in its lowest terms:
(i) 

(ii) 

Ans:

Q14: Fill in the blanks by putting > or < in each of the following to make the statement true:

(i) 

Ans: >

(ii) Ans: <

(iii) Ans: >

Q15: Which is smaller in each of the following pairs of fractions?
(i) 3/16, 21/32
Ans: We need to make the denominator equal first,
3/16 x 2/2 = 6/32
6/32 < 21/32

(ii) 18/25, 2/5
Ans:
 We need to make the denominator equal first,
2/5 x 5/5 = 10/25
18/25 > 10/25

(iii) 8/21, 7/20
Ans: We need to make the denominator equal first,
LCM = 420
8/21 x 20/20 = 160/420
7/20 x 21/21 = 147/420

Q16: Find the sum:
(i) 1/8 + 2/8 + 3/8
Ans: 
6/8

(ii) 1/13 + 3/13 + 8/13
Ans: 12/13

(iii) 9/35 + 2/35 + 11/35
Ans: 22/35

Q17: Write the fractions whose numerator is 6 and denominator is 19.
Ans: 
6/19

Q18: ______ = ______.
Ans: (1+2+4)/7 = 1.

02. Worksheet: Fractions

Q1: Divide each collection into two equal parts by dotted lines:

(i) 

(ii) 

(iii) 

Q2: In each of the following write the fraction representing the shaded portion:

(i) 

(ii) 

(iii) 

Q3: Write the fraction whose
(i) Numerator is 7 and denominator is 15.

(ii) Numerator is 22 and denominator is 35.

Q4: Divide each collection into suitable number of equal parts and fill in the blanks:

(i) 
1/2 of 8 = ______.

(ii) 

1/8 of 16 = ______.

(iii) 

5/6 of 18 = ______.

Q5: Draw a collection of objects. Divide the collection into suitable number of equal parts and find:
(i) 1/3 of 9

(ii) 3/7 of 14

(iii) 4/9 of 18

Q6: Write the next three equivalent fractions of each of the following
(i) 1/4

(ii) 2/3

(iii) 5/9

(iv) 4/7

Q7: Fill in the missing numerators to make the statement true:

(i) 

(ii) 

(iii) 

Q8: Find an equivalent fraction of 3/4 with:
(i) Numerator 15

(ii) Denominator 48

(iii) denominator 24

Q9: Fill in the missing denominators to make the statement true:

(i) 

(ii) 

(iii) 

Q10: Check whether the given fractions are equivalent:
(i) 3/15, 1/5

(ii) 2/11, 6/21

(iii) 4/9, 8/18

Q11: State whether the fraction is in its lowest terms or not:
(i) 12/20

(ii) 4/6

(iii) 80/81

Q12: Reduce to the lowest terms:
(i) 21/28

(ii) 45/60

(iii) 36/54

Q13: Encircle the fraction which is in its lowest terms:

(i) 

(ii) 

Q14: Fill in the blanks by putting > or < in each of the following to make the statement true:

(i) 

(ii) 

(iii) 

Q15: Which is smaller in each of the following pairs of fractions?
(i) 3/16, 21/32

(ii) 18/25, 2/5

(iii) 8/21, 7/20

Q16Find the sum:

(i) 

(ii) 

(iii) 

Q17: Write the fractions whose numerator is 6 and denominator is 19.

Q18: ______ = ______.

01. Worksheet Solutions: We the Travellers—I (Part – 2)

Q1: Write the number that has 5 thousands, 7 hundreds, 8 tens, and 4 ones. 

(a) 5,748 

(b) 5,784 

(c) 5,874 

(d) 5,847

Ans: (b) 5,784

Q2: What is the value of the digit 3 in the number 5,327? 

(a) 3 

(b) 30 

(c) 300 

(d) 3,000

Ans: (c) 300

Q3: In the number 4,218, which digit is in the hundreds place? 

(a) 4 

(b) 2 

(c) 1 

(d) 8

Ans: (b) 2

Q4: Write the expanded form of the number 6,493. 

(a) 6000 + 400 + 90 + 3 

(b) 600 + 400 + 90 + 3 

(c) 6000 + 400 + 9 + 30 

(d) 6000 + 40 + 90 + 3

Ans: (a) 6000 + 400 + 90 + 3

Q5: If you add 300 to the number 1,472, what is the new number? 

(a) 1,772 

(b) 1,742 

(c) 1,770 

(d) 1,732

Ans: (a) 1,772

Q6: Round 96 to the nearest ten.
(a) 95
(b) 100
(c) 90
(d) 80

Ans: (b) 100

Q7: A store had 7,600 candies. They sold 3,250 candies. How many candies are left? 

(a) 4,250 

(b) 4,350 

(c) 4,340 

(d) 4,300

Ans: (a) 4,350

Q8: John has 1,234 stamps and his brother has 567 stamps. How many stamps do they have together? 

(a) 1,801 

(b) 1,701 

(c) 1,800 

(d) 1,700

Ans: (a) 1,801

Q9: If you have 6 thousands, 3 hundreds, 5 tens, and 8 ones, what is the number? 

(a) 6,358 

(b) 6,538 

(c) 6,835 

(d) 6,385

Ans: (a) 6,358

Q10: Choose the missing sign.
902 ___ 902
(a) >
(b) <
(c) =

Ans: (c)
Q11: Who am I?
(i) I am the smallest 5-digit number: _______________
(ii) I am the predecessor of 8,25,481: _______________
(iii) I am one more than 99,999: _______________
(iv) My place value in 9,83,351 is ten thousand: _______________
(v) I am the largest 6 – digit number: _______________

Ans:
(i) 10,000
(ii) 8,25,480
(iii) 1,00,000
(iv) 80,000
(v) 9,99,999

Q12: Write the number names for the following numerals.
(i) 89,53,828
(ii) 25,87,463
(iii) 341,906,235
(iv) 54,928,329
(v) 8,842,935

Ans:
(i) Eighty-nine lakh fifty-three thousand eight hundred twenty-eight
(ii) Twenty-five lakh eighty-seven thousand four hundred sixty-three
(iii)Three hundred forty-one million nine hundred six thousand two hundred thirty-five
(iv) Fifty-four million nine hundred twenty-eight thousand three hundred twenty-nine
(v) Eight million eight hundred forty-two thousand nine hundred thirty-five

Q13: Write the numerals for the following number names.
(i) Seventy nine lakhs ninety six thousand, two hundred and thirty eight.
(ii) Four hundred and thirty one million, nine hundred and seven thousand, five hundred and sixty three.
(iii) Two crores, seventy three lakhs, fifty six thousand, eight hundred and seventeen.
(iv) Seventy million four hundred and eight.

Ans:
(i) 79,96,238
(ii) 431,907,563
(iii) 2,73,56,817
(iv) 70,000,408

Q14: (a) Write the Number names for the following Numerals.
(i) 24,998
(ii) 1,84,305
(iii) 3,10,706

Ans:

(i) Twenty-four thousand nine hundred ninety-eight.
(ii) One lakh eighty-four thousand three hundred five.
(iii) Three lakh ten thousand seven hundred six.

(b) Write the numerals for the following number names.
(i) Three lakh twenty three thousand four hundred two
(ii) Six lakh ten thousand three hundred seven

Ans:
(i) 3,23,402
(ii) 6,10,307

Q15: Form the largest and smallest 5 or 6–digit numbers using the given digits.
(i) 3,  9,  4,  1,  7
(ii) 9,  6,  1,  5,  2
(iii) 3,  0,  8,  2,  7,  1

Ans: (i) 97,431; 13,479
(ii) 96,521; 12,569
(iii) 8,73,210; 1,02,378

01. Worksheet: We the Travellers—I (Part – 2)

Q1: Write the number that has 5 thousands, 7 hundreds, 8 tens, and 4 ones. 

(a) 5,748 

(b) 5,784 

(c) 5,874 

(d) 5,847

Q2: What is the value of the digit 3 in the number 5,327? 

(a) 3 

(b) 30 

(c) 300 

(d) 3,000

Q3: In the number 4,218, which digit is in the hundreds place? 

(a) 

(b) 2 

(c) 

(d) 8

Q4: Write the expanded form of the number 6,493. 

(a) 6000 + 400 + 90 + 3 

(b) 600 + 400 + 90 + 3 

(c) 6000 + 400 + 9 + 30 

(d) 6000 + 40 + 90 + 3

Q5: If you add 300 to the number 1,472, what is the new number? 

(a) 1,772 

(b) 1,742 

(c) 1,770

(d) 1,732

Q6: Round 96 to the nearest ten.
(a) 95

(b) 100

(c) 90

(d) 80

Q7: A store had 7,600 candies. They sold 3,250 candies. How many candies are left? 

(a) 4,250 

(b) 4,350 

(c) 4,340 

(d) 4,300

Q8: John has 1,234 stamps and his brother has 567 stamps. How many stamps do they have together? 

(a) 1,801 

(b) 1,701 

(c) 1,800 

(d) 1,700

Q9: If you have 6 thousands, 3 hundreds, 5 tens, and 8 ones, what is the number? 

(a) 6,358 

(b) 6,538 

(c) 6,835 

(d) 6,385


Q11: Who am I?
(i) I am the smallest 5-digit number: _______________
(ii) 
I am the predecessor of 8,25,481: _______________
(iii)
 I am one more than 99,999: _______________
(iv) 
My place value in 9,83,351 is ten thousand: _______________
(v) 
I am the largest 6 – digit number: _______________

Q12: Write the number names for the following numerals.
(i)
 89,53,828
(ii) 
25,87,463
(iii) 
341,906,235
(iv) 
54,928,329
(v) 
8,842,935

Q13: Write the numerals for the following number names.
(i) 
Seventy-nine lakh ninety-six thousand, two hundred and thirty-eight.
(ii) 
Four hundred and thirty-one million nine hundred and seven thousand five hundred and sixty-three.
(iii) 
Two crores seventy-three lakh fifty-six thousand eight hundred and seventeen.
(iv) 
Seventy million four hundred and eight.

Q14: (a) Write the Number names for the following Numerals.
(i) 24,998
(ii) 1,84,305
(iii) 3,10,706

(b) Write the numerals for the following number names.
(i) Three lakh twenty-three thousand four hundred two
(ii) Six lakh ten thousand three hundred seven

Q15: Form the largest and smallest 5 or 6–digit numbers using the given digits.
(i) 3,  9,  4,  1,  7
(ii
) 9,  6,  1,  5,  2
(iii)
 3,  0,  8,  2,  7,  1

01. Worksheet Solutions: We the Travellers—I (Part – 1)

Q1: Multiple Choice Questions (MCQs)

(i) What is the place value of 5 in 1536?
(a)
 5
(b) 50
(c) 500
(d) 5000

Ans: (c) 500
 The place value of 5 is 500. (Hundred)
Here are the values of each number:

(ii) Which number comes first in ascending order?  
7308, 7038, 7348, 7304
(a) 7308
(b) 7038
(c) 7348
(d) 7304 

Ans: (b) 7038

(iii) What is the short form of 8,00,000 + 2,000 + 30 + 6?
(a)
 80,236
(b) 8,20,036
(c) 8,02,036
(d) 8,20,306

Ans: (c) 8,02,036
8,00,000 + 2,000 + 30 + 6 = 8,02,036
We start by adding the place values together:

  • 8,00,000 (Lakhs place)
  • 2,000 (Thousands place)
  • 30 (Tens place)
  • 6 (Ones place)
  • When we put these values together in one number, we get 8,02,036.


(iv) Which is the largest number in this group? 7,20,163; 7,20,136; 7,02,163; 7,02,613
(a) 
7,20,136
(b) 7,02,613
(c) 7,02,163
(d) 7,20,163

Ans: (d) 7,20,163

(v) Which is the smallest 4-digit number amongst the following?

(a) 1303

(b) 1234

(c) 0132

(d) 0142

Ans: (b) 1234


Q2: True or False

(i) The place value of 4 in 3,49,026 is 4,000.
Ans:
 False

(ii) In the number 8036, 3 is in the hundreds place.
Ans: False

(iii) The number 1,25,471 is smaller than 61,832.
Ans: 
False

(iv) The smallest whole number is 0.
Ans:
 True

(v) 7,36,000 is the predecessor of 7,35,999.
Ans:
 False


Q3: Fill in the Blanks

(i) In 1042, 2 is at the _____ place.
Ans:
 Ones

(ii) The place value of 6 in 6,00,087 is _____.
Ans: 6,00,000 (Lakhs)

(iii) The first six multiples of 4 are ____, ____, ____, ____, ____, and ____.
Ans: 
4, 8, 12, 16, 20, 24

(iv) Arrange the numbers 62,917; 1,00,008; 45,132; 36,472 in descending order:
Ans:
 1,00,008; 62,917; 45,132; 36,472

(v) The predecessor of the smallest 6-digit number is ____.
Ans:
 99,999


Q4: Answer the Following Questions

(i) Write the place value of 2 in 7,52,693.
Ans: 2,000 (Thousands)

(ii) Which is greater: 3,69,501 or 3,69,510?
Ans: 
3,69,510

(iii) Write the short form of: 9,00,000 + 4,000 + 200.
Ans: 
9,04,200

(iv) Arrange the numbers 4526, 4256, 4569, 4325 in ascending order.
Ans: 
4256, 4325, 4526, 4569

(v) Write the number name for 4,65,009.
Ans:
 Four lakh sixty-five thousand and nine


Q5: Find the place-value of 6 in each of the following numbers:

(a) 19,356 
Ans: The place value of 6 is 6 (ones)

(b) 6,00,087
Ans: The place value of 6 is 6,00,000 (lakhs)


Q6:  Write the number names for each of the following numbers: 

(a) 2,50,006 
Ans: Two lakh fifty thousand six.

(b) 4,65,009 
Ans: Four lakh sixty-five thousand nine.

01. Worksheet: We the Travellers—I (Part – 1)

Q1: Multiple Choice Questions (MCQs)

(i) What is the place value of 5 in 1536?
(a)
 5
(b) 50
(c) 500
(d) 5000

(ii) Which number comes first in ascending order?  
7308, 7038, 7348, 7304
(a) 7308
(b) 7038
(c) 7348
(d) 7304 

(iii) What is the short form of 8,00,000 + 2,000 + 30 + 6?
(a)
 80,236
(b) 8,20,036
(c) 8,02,036
(d) 8,20,306

(iv) Which is the largest number in this group? 7,20,163; 7,20,136; 7,02,163; 7,02,613
(a) 
7,20,136
(b) 7,02,613
(c) 7,02,163
(d) 7,20,163

(v) Which is the smallest 4-digit number using all different digits other than 0?

(a) 1303
(b) 1234
(c) 0132
(d) 0142

Q2: True or False

(i) The place value of 4 in 3,49,026 is 4,000.

(ii) In the number 8036, 3 is in the hundreds place.

(iii) The number 1,25,471 is smaller than 61,832.

(iv) The smallest whole number is 0.

(v) 7,36,000 is the predecessor of 7,35,999.


Q3: Fill in the Blanks

(i) In 1042, 2 is at the _____ place.

(ii) The place value of 6 in 6,00,087 is _____.

(iii) The first six multiples of 4 are ____, ____, ____, ____, ____, and ____.

(iv) Arrange the numbers 62,917; 1,00,008; 45,132; 36,472 in descending order.

(v) The predecessor of the smallest 6-digit number is ____.


Q4: Answer the Following Questions

(i) Write the place value of 2 in 7,52,693.

(ii) Which is greater: 3,69,501 or 3,69,510?

(iii) Write the short form of: 9,00,000 + 4,000 + 200.

(iv) Arrange the numbers 4526, 4256, 4569, 4325 in ascending order.

(v) Write the number name for 4,65,009.


Q5: Find the place-value of 6 in each of the following numbers:

(a) 19,356 

(b) 6,00,087


Q6:  Write the number names for each of the following numbers: 

(a) 2,50,006 

(b) 4,65,009