Vedanta Excel in Mathematics Book 3 Final (2078)

4-digit Numbers

Game Time!
4. Let's arrange these number cards in decreasing and in increasing orders of the

digits. Say and write the greatest and the least numbers so formed.

742 308

Greatest number is Greatest number is

Least number is Least number is

5196 2078

Greatest number is Greatest number is

Least number is Least number is

5. Let's answer these questions as quickly as possible. I got it!
1 is the least
135246978 1-digit number.

a) What is the least 1-digit number? 9 is the greatest
1-digit number.
b) What is the greatest 1-digit number?
I know!
c) What is the least 2-digit number? The ϔirst 2-digit
number is 10 and

the last is 99.

d) What is the greatest 2-digit number?

6. It's your time! Let's write your digits. Say and write the greatest and the least
numbers formed from your digits.

2-digits Greatest numbers Least numbers

3-digits Greatest numbers Least numbers 3, 5, 2, 6 are my 4-digits.
6532 is the greatest
number.
2356 is the least number.

4-digits Greatest numbers Least numbers

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4-digit Numbers

Skip count - counting by 10's, 100's and 1000's

Classwork – Exercise

1. Let's count forward by 10's and 100's. Write the missing numbers.

Counting by 10's 10 20 30 57
27 37 47

Counting by 100's 300 400
582 682

2. Let's increase the digit at tens place by 1 and count by 10's.
a)

1520 1530 1540

b) 3485

3445

3. Let's increase the digit at hundreds place by 1 and count by 100's.
a)

2380 2680

b) 7993

7593

4. Let's increase the digit at thousands place by 1 and count by 1000's.
a)

1250 4250

b) 52 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

4748

vedanta Excel in Mathematics - Book 3

4-digit Numbers

Rounding off numbers to the nearest tens
Let's investigate the rules for rounding off numbers to the nearest tens.
a) Round off 4 to the nearest tens.

4 is close to 0.

0 1 2 3 4 5 6 7 8 9 10

So, rounding off 4 to the nearest tens is 0.

b) Now, round off 17 to the nearest tens.

17 is close to 20. 10 11 12 13 14 15 16 17 18 19 20

So, rounding off 17 to the nearest tens is 20.
Can you say the general rules for rounding off a number to the nearest tens? Discuss with
your teacher.

Classwork – Exercise

1. Let's use number lines and round off the numbers to the nearest tens.

a) Rounding of 3 to the nearest tens is

b) Rounding of 6 to the nearest tens is 0 1 2 3 4 5 6 7 8 9 10
0 1 2 3 4 5 6 7 8 9 10
c) Rounding of 14 to the nearest tens is 10 11 12 13 14 15 16 17 18 19 20
30 31 32 33 34 35 36 37 38 39 40
d) Rounding of 38 to the nearest tens is 60 61 62 63 64 65 66 67 68 69 70
80 81 82 83 84 85 86 87 88 89 90
e) Rounding of 62 to the nearest tens is 80 81 82 83 84 85 86 87 88 89 90
70 71 72 73 74 75 76 77 78 79 80
f) Rounding of 81 to the nearest tens is
vedanta Excel in Mathematics - Book 3
g) Rounding of 85 to the nearest tens is

h) Rounding of 73 to the nearest tens is

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4-digit Numbers

2. Let's focus on the digit at ones place. Then round off the number to the nearest
tens.

a) Rounding of 104 to the nearest tens is 100 I got the rule!
Rounding off 1, 2, 3 and
b) Rounding of 109 to the nearest tens is 4 at ones place is always
c) Rounding of 116 to the nearest tens is to the lower tens!!

d) Rounding of 153 to the nearest tens is I understood!
Rounding off 5, 6, 7, 8 and
e) Rounding of 278 to the nearest tens is 280 9 at ones place is always
to the upper tens!!
f) Rounding of 532 to the nearest tens is
g) Rounding of 895 to the nearest tens is

h) Rounding of 1427 to the nearest tens is

i) Rounding of 3666 to the nearest tens is

3. Let's read these problems. Round off the igure (number) to the nearest tens.

a) The cost of a bag is Rs 748. In round igure the cost is

b) There are 582 students in a school. The number of students in round igure
is

c) The population of a village is 2619. The population in round igure is

d) The price of a mobile is Rs 9703. The price in round igure is

4. It's your time! Let's write any four 3-digit numerals. Round off the numbers to
the nearest tens.

Numerals Rounding off to Numerals Rounding off to
the nearest tens the nearest tens

a) c)

b) d)

vedanta Excel in Mathematics - Book 3 54 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

5-digit Numbers

Ten-thousands
Let's count the number of thousands.

and is 10 thousand

1000 2000 3000 4000 5000 6000 7000 8000 9000 10000

10 thousand = 10000 20 thousand = 20000 30 thousand = 30000

In 10000, there are 5 digits. The digits are 1, 0, 0, 0 and 0.
Use of Comma (,)

It is easier to read and write the bigger numbers by separating the digits at thousands
and greater than thousands places using commas (,).

Remember! We start to use commas only in 4-digit and greater than 4-digit numbers.

Now, let's use commas to separate thousands and ten thousands places.

3000 ‘ 3,000 20000 ‘ 20,000

Thousands place Ten-thousands place
is separated is separated

Classwork – Exercise
1. Let's use commas and re-write these numbers.

5000 → 9640 → 4936 →
52145 →
10000 → 30000 →

2. Let's say and write, how many thousands?

a) 18,000 → Eighteen thousand

b) 27,000 →

c) 72,000 →

d) 99,000 →
3. Let's write the numerals using commas.

a) Fifteen thousand → b) Thirty-six thousand →

c) Sixty-three thousand → d) Eighty-one thousand →

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5-digit Numbers

3. Let's show the numerals in the place value table. Then say and write the number
names.

a) T-th Th H T O Twenty thousand
20,000
2 0000

b) T-th Th H T O
30,700

c) T-th Th H T O
56,100

d) T-th Th H T O
74,840

e) T-th Th H T O Ninety-eight thousand five

98,527 9 8 5 2 7 hundred twenty-seven

f) T-th Th H T O
85,309

4. It's your time! Let's write 5-digit numerals of your own choice . Say and write the
number names.

a)

b)

c) 56 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 3

5-digit Numbers

Shopping Time!
5. Let's say and write the price of these electronic devices in words.

Rs 25,300 Rs 78,700 Rs 46,780 Rs 17,695

a) Price of mobile

b) Price of laptop

c) Price of smart board

d) Price of smart watch

e) Which one is the most expensive device?

f) Which one is the cheapest device?
6. Let's say and write the place name and place value of the circled digit.

a) 2 5 896 Place name Place value

b) 5 2978 Place name Place value

c) 78 1 34 Place name Place value

d) 6 3709 Place name Place value

e) 495 4 7 Place name Place value

It's your time!

7. Let's circle a digit and write its place value. Remember, you cannot circle the
same place more than one time.

a) 5436 b) 8941 c) 7777

d) 13574 e) 27605 f)99999

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100 200 300 400 500 600 700 800 900 1000

!))) @))) #))) $))) %))) ^))) &))) *))) ())) !))))
Ps xhf/ b'O{ xhf/ tLg xhf/ rf/ xhf/ kfFr xhf/ 5 xhf/ ;ft xhf/ cf7 xhf/ gf+} xhf/ bz xhf/

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!= ca tnsf k|Zgx¿sf] pQ/ n]vf+} x} t .

s_ ()) sltj6f cs+ n] ags] f] ;+Vof xf] <

v_ !,))) sltj6f c+sn] ags] f] ;+Vof xf] <

u_ !),))) sltj6f c+sn] ag]sf] ;+Vof xf] <

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em_ bz xhf/ kfFr ;o `_ rf}aL; xhf/ bO' { ;o bz

vedanta Excel in Mathematics - Book 3 58 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

bj] gfu/L ;+Vof
#= ca tnsf ;+Vofx¿sf] gfd nv] f+} x} t .

s_ @!) v_ *()

u_ @,#)) 3_ %,&%)

ª_ !),!()

r_ #@,^&)

$= c+u|]hL ;+VofnfO{ bj] gfu/L ;+Vofdf nv] f}+ / ;V+ ofsf] gfd klg nv] f}+ x} t .

a) 450

b) 936

c) 1270

d) 8,848

e) 15,200

%= tnsf tYox¿df ePsf b]jgfu/L ;+VofnfO{ c+uh]| L ;+Vofsf] gfddf nv] f+} x} t .

a) xfd|f] bz] gk] fn em08} !@% hfthftLx¿sf] ;femf km"naf/L xf] .

Number of ethnic groups in Nepal is

b) gk] fndf em08} **^ kh| fltsf r/fx¿ kfOG5g\ .

Number of birds species found in Nepal is about

c) gk] fn ljZjsf] ;jf]r{ lzv/ ;u/dfyfsf] b]z xf] . ;u/dfyfsf] prfO{ **$( ld6/ 5 .

The height of Mt. Everest is

ca ltd|f] kfnf] Û
^= $ c+s ePsf bO' {j6f b]jgfu/L ;V+ ofx¿ nv] / ;+Vofsf] gfd klg n]v .

s_

v_ 59 vedanta Excel in Mathematics - Book 3

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Roman Numerals

These are Hindi-Arabic numerals. 0 1 2 3 4 5 6 7 8 9 10
These are Roman numerals. I II III IV V VI VII VIII IX X

In Roman number system, there are 7 symbols to represent different numbers.

Roman Numbers IVX L C D M
Hindu-Arabic Numbers 1 5 10 50 100 500 1000

There are no special symbols for 2, 3, 4, 6, 7, 8 and 9.

There is no zero in Roman number system.

In this class, we will write the Roman numbers using only four symbol I, V, X and L.

Now, let's learn the conversion rules of Roman numerals to Hindu-Arabic numerals.
Rule 1: We can repeat the symbol I and X maximum three times. The repetition of

these symbols means addition.

Let's learn from these example.

I = 1, II = 1 + 1 = 2 and III = 1 + 1 + 1 = 3

X = 10, XX = 10 + 10 = 20 and XXX = 10 + 10 + 10 = 30

Remember! The symbol V is never be repeated.
Rule 2: If a smaller symbol comes before a larger one, the value of the numerals is the

difference of the values of the symbols.

Let's study the examples and learn about it.

IV = 5 – 1 = 4, IX = 10 – 1 = 9, XL = 50 – 10 = 40 and so on.

Rule 3: If a smaller symbol comes after a larger one, the value of the numeral is the
addition of the values of the symbols.

Let's study the examples and learn about it.

VI = 5 + 1 = 6, VII = 5 + 2 = 7 VIII = 5 + 3 = 8, XIII = 10 + 1 + 1 + 1 = 13

XXV = 20 + 5 = 25 XXXVI = 30 + 6 = 36 LVIII = 50 + 8 = 58, and so on.

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Roman Numerals

Now, let's learn to convert Hindu-Arabic numerals into Roman numerals.

6 = 5 + 1 = VI, 7 = 5 + 2 = VII, 8 = 5 + 3 = VIII

19 = 10 + 9 = XIX, 28 = 20 + 8 = XXVIII, 39 = 30 + 9 = XXXIX

42 = 40 + 2 = XLII, 49 = 40 + 9 = XLIX, 55 = 50 + 5 = LV

Classwork – Exercise
1. Let's say and write the Hindu-Arabic numerals for these Roman numerals.

a) I = b) V = c) X = d) L = e) IV =

f) VI = g) VII = h) VIII = i) IX = j) X =

k) IX = l) XI = m) XX = n) XXX = o) XL =

2. Let's convert Roman numerals into Hindu-Arabic numerals.

a) III = b) VII = c) XIV =

d) XVI = e) XIX = f) XXI =

g) XXIX = h) XXXV = i) XLIII =

j) XLVII = k) LII = l) LIX =

3. Let's convert Hindu-Arabic numerals into Roman numerals.

a) 6 = b) 8 = c) 11 =

d) 17 = e) 24 = f) 29 =

g) 36 = h) 44 = i) 53 =

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4Unit Natural numbers and Whole numbers

Story of types of numbers

Counting numbers StoryStoofrtyyopfetsypoefsnoufmnubmerbsers
Let's discuss about the answer of these questions.

How do you count the number of students of your class?

How do you count the members of your family?

How do you count your pocket money?

We use numbers 1, 2, 3, 4, 5... to count the number of objects. These are Counting numbers.
Counting numbers are the Natural numbers.

1. Let's say and write the answer as quickly as possible.

a) Natural numbers less than 5 are

b) Natural numbers between 26 and 30 are

c) What is the smallest natural number? Greatest natural number...
d) Can you tell the greatest natural number? I think it's very large...
Whole numbers I cannot count!
Let's discuss about the answer of these questions.

a) How many mountains are there in the world higher than Mt. Everest?

b) There is an apple on a plate and you eat that apple. How many apples are left on the
plate?

The answer of each of these questions is "None'.

In counting none means zero (0) . Therefore, zero also counts the number of objects.
However, it counts 'there is no any number of object'.

In this way, counting of numbers includes zero (0) also. The counting numbers including
zero are the Whole numbers. 0, 1, 2, 3, 4, 5,... are the whole numbers.

vedanta Excel in Mathematics - Book 3 62 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Types of Numbers

2. Let's say and write the answer as quickly as possible.
a) Whole numbers less than 5 are

b) Whole numbers between 90 and 96 are

c) What is the smallest whole number? The greatest whole
d) Can you tell the greatest whole number? number is also inϔinite!!

Odd numbers and even numbers

There is 1 pencil. It is not a pair of pencil. It is an unpaired pencil.
1 is an unpaired number. 1 is an odd number.

There are 2 pencils. It is a pair of pencils. 2 is a paired number.
2 is an even number.

There are 3 pencils. Two pencils are in a pair. But, one pencil is left unpaired.
3 is an unpaired number. 3 is an odd number.

3. Now, let's say and write the correct answer as quickly as possible.

a) Is 4 an odd or even number? number.

b) Is 5 an odd or even number? number.

c) Is 6 an odd or even number? number.

d) Is 7 an odd or even number? number.

e) Can you write two odd numbers between 8 and 12? ,

f) Can you write two even numbers between 7 and 11? ,

g) How many odd numbers are there from 1 to 10?

h) How many even numbers are there from 1 to 10?

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Types of Numbers

4. Again, let's divide natural numbers by 2. Then say and write the answers.
2 ÷ 2 = 1 quotient and no remainder. 2 is an even number.
3 ÷ 2 = 1 quotient and 1 remainder. 3 is an odd number.

a) 4 ÷ 2 = 2 quotient and no remainder. 4 is an
b) 5 ÷ 2 = 2 quotient and 1 remainder. 5 is an
c) 10 ÷ 2 = 5 quotient and no remainder. 10 is an
d) 17 ÷ 2 = 8 quotient and 1 remainder. 17 is an
e) 20 ÷ 2 = 10 quotient and no remainder. 20 is an
Let's investigate the idea to identify the given natural number is an odd or and even number.
5. Now, let's focus on the digit at ones place of these bigger numbers. Then, say and

write 'odd or even number'.
In 21, the digit at ones place is 1 which is odd. So, 21 is an odd number.
In 46, the digit at ones place is 6 which is even. So, 46 is an even number.
In 90, the digit at ones place is 0. So, 90 is an even number.
a) In 189, the digit at ones place is 9 which is odd. So, 189 is an
b) In 360, the digit at ones place is 0. So, 360 is an
Can you investigate the idea to identify the given bigger natural number is an odd or even
number? Discuss with your friends.

EXERCISE

1. Let's circle the odd numbers.

6 58 7 11 24 34 I also understood!
307 483 In 365, the digit at ones
50 61 96 105 118 place is 5 and it is odd. So,
41 365 is an odd number!
413
2. Let's circle the even numbers.

8 7 10 15 26 52 I got it!
500
89 98 104 227 360 70 In 200, the digit at ones

place is 0. So, 200 is an

642 even number!

vedanta Excel in Mathematics - Book 3 64 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Types of Numbers

3. Let's say and write the order of the missing odd numbers.

a) 1, 3, , 7, 11, , , 17, , , 23

b) 25, 27, , 31, , , 37, , , , 45

4. Let's say and write the order of the missing even numbers.

a) 2, 4, , , 10, , , 16 , 20, , 24

b) 46, 48, , 52, , , 58, , , 64, , 70

5. Let's list the odd numbers between 60 and 70.

6. Let's list the odd numbers between 79 and 89.

7. Let's answer these questions as quickly as possible.

a) What is the smallest natural odd number?

b) What is the smallest natural even number?

c) Is 794 an odd number or an even number?

d) Is 863 an odd number or an even number?

8. Let's write the natural numbers from 1 to 50 in your exercise book. Then circle the
odd numbers.

9. Let's write the natural numbers from 50 to 100 in your exercise book. Then circle the
even numbers.

10. Let's write the natural numbers from 1 to 100 in your exercise book. Then circle the

odd numbers and cross the even numbers.

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5Unit Addition and Subtraction

Addition - How many altogether?

Classwork – Exercise
1. Let's count the pictures in two boxes. Add them and ind the totals.

a)

+= Do you know?
In 9 + 8 = 17,
9 and 8 are addends.
17 is the total.

b)

+=
c) d)

I understood!
In 3 + 4 = 7, the
addends are 3 and 4
7 is the total!!

+= +=

2. Let's say and write the missing addends as quickly as possible.

a) 4 + = 9 b) + 3 = 10 It's my trick!
c) + 8 = 13 d) 7 + = 14 In 4 + ... = 9, the missing
e) + 6 = 15 f) 10 + = 16 addend is 9 – 4 = 5.
So, 4 + 5 = 9

g) 9 + = 17 h) + 9 = 18 I got it!
i) + 9 = 13 j) 11 + = 19 In ... + 13 = 20, the addend
is 20 – 13 = 7.
So, 7 + 13 = 20

k) 12 + = 21 l) + 13 = 20

vedanta Excel in Mathematics - Book 3 66 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Addition - How many altogether?

3. It's your time! Let's search and write your addends to get the given totals.

a) + = 7 b) + = 8 c) + = 9

d) + = 10 e) + = 11 f) + = 12

g) + = 13 h) + = 14 i) + = 16

4. Let's add your addends and get your totals.

a) + = b) + = c) + =

d) + = e) + = f) + =

5. Let's search different pairs of addends to complete the story of these numbers.

Story of 7 Story of 8

0+7 7 1+6 0+ 8 1+
2 +2 5+ 5 3+4 4+2+5 2+
3+

Story of 9 Story of 10

9+ + + 10 +

+ ++

++ ++

6. Let's search any 3 pairs of addends to get the given totals.

a) 11 = + , +, +

b) 12 = +, +, +

c) 15 = + , +, +

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Addition - How many altogether?

Puzzle Time!

7. Let's ind out which team built the higher pyramid by adding the numbers to
reach the top.

15 6 17 14
78 15 6 5

8. Let's ill the missing numbers to complete the sums.

+ 7 = 17 14 + = 12

+++ +++

+2= +3=

=== ===

18 + = 20 + = 25

9. Let's complete these magic squares where the three numbers in each row,
column and diagonal add up to the same total.

Magic sum = 15 15 Magic sum = 18 Magic sum = 24
618 15 10
753 6
15 52 65

2 9 4 15

15 15 15 15 15

vedanta Excel in Mathematics - Book 3 68 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Addition - How many altogether?

10. Let's add the rows and columns as quickly as possible.

9 7 12 6 13 4 15 9 20
8 17 11 23 12
10
5 8

14 14 7

Drawing Time! Figure it out

11. Let's draw the pictures in the squares where the total is the same as the number
below each picture.

7 11 12

5

20 18 19

8

16 23 12

11

17 15 22
12. Let's do the addition. Then join the dots in the order of your answers.

(1) 12 + 11 = (2) 9 + 8 = (3) 14 + 18 =

(4) 17 + 12 = 27 35
(5) 20 + 15 =

(6) 21 + 6 = 30 25 29 32
(7) 16 + 9 =

(8) 13 + 17 = 19 14 17
(9) 15 + 4 = 23

(10) 8 + 6 = 69 vedanta Excel in Mathematics - Book 3

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Addition - How many altogether?

Fun of addition with 10, 20, 30, ...

Classwork– Exercise

1. Let's say and write the totals as quickly as possible.

a) 10 + 5 = b) 10 + 8 = c) 20 + 6 =

d) 20 + 9 = e) 30 + 7 = f) 30 + 10 =

g) 40 + 4 = h) 40 + 8 = i) 50 + 6 =

j) 50 + 10 = k) 60 + 9 = l) 70 + 5 =

2. Just add the non-zero numbers and put zero at the end of total.

a) 10 + 20 = 30 b) 10 + 30 = c) 20 + 30 =

d) 30 + 40 = e) 40 + 20 = f) 30 + 30 =

g) 50 + 40 = h) 20 + 50 = i) 40 + 40 =

j) 60 + 10 = k) 10 + 70 = l) 30 + 60 =

m) 20 + 60 = n) 70 + 20 = o) 80 + 20 =

3. First, let's link the numbers that make 10, 20, 30, ... Then, ind the totals as
quickly as possible.

a) 3 + 5 + 7 = 10 + 5 = 15 b) 8 + 7 + 2 = + 7 =

c) 4 + 6 + 9 = + = d) 1 + 8 + 9 = + =

e) 5 + 4 + 15 = + = f) 13 + 6 + 7= + =

g) 3 + 6 + 27 = + = h) 25 + 5 + 9= + =

i) 8 + 36 + 4 = + = j) 2 + 6 + 38= + =

k) 5 + 45 + 3 = + = l) 7 + 8 + 52= + =

vedanta Excel in Mathematics - Book 3 70 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Addition - How many altogether?

Breaking of numbers - Adding faster!

Classwork – Exercise
1. Let's break a number in 10, 20, 30, ... Then, ind the totals as quickly as possible.

a) 12 + 14 = 10 + 14 + 2 = 24 + 2 = 26 I liked this trick
13 + 11 = 10 + 11 + 3
10 + 2
= 21 + 3 = 24

b) 12 + 13 = + + = + =

c) 14 + 15 = + + = + =It's interesting!

d) 21 + 12 = 20 + 12 + 1 = + = 24 + 14 = 20 + 14 + 4
= 34 + 4 = 38
20 + 1
=
e) 23 + 11 = + + = +

f) 35 + 14 = 30 + 14 + 5 = + =

g) 33 + 16 = + + = + =

2. Now, let's break both numbers in 10, 20, 30, ... Then, ind the total as quickly as
possible.

a) 15 + 13 = 10 + 5 + 10 + 3 = 20 + 8 = 28

b) 17 + 11 = + ++ =+=

c) 23 + 24 = 20 + 3 + 20 + 4 = +7 =

d) 22 + 36 = + + + =+=

e) 31 + 32 = + + + =+=

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Addition - How many altogether?

Addition by using number lines

Classwork – Exercise

1. Let's jump forward on the number line and add as shown.

a)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
6 + 7 jumps = 13

b)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
+ jumps =

c)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

+ jumps =
d)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Add 5 + 7 =

e)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
f) Add 8 + 6 =

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

vedanta Excel in Mathematics - Book 3 Add 4 + 9 = Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

72

Addition - How many altogether?

1. Let's say and write the answer as quickly as possible.

a) 10 boys and 15 girls, how many children altogether?

10 + 15 = 25 children

b) 20 goats and 12 cows, how many animals altogether?

+ = animals

c) 30 men and 20 women, how many people altogether?

+ = people

d) 15 kg of apples and 40 kg of mangoes, how many fruits altogether?

+= kg of fruits

e) Rs 50 and Rs 30, how many rupees altogether?

+ = rupees

f) Rs 75 and Rs 25, how many rupees altogether?

+= rupees

g) 60 cm and 17 cm, how many centimetres altogether?

+= cm

h) 200 m and 300 m, how many metres altogether?

+= m

2. Let's listen to your teacher. Add her numbers and ind the totals.

a) + = b) + =

c) + = d) + =

e) + = f) + =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 73 vedanta Excel in Mathematics - Book 3

Addition - How many altogether?

Addition with carryover

Classwork– Exercise

1. Let's add together these unit blocks. Then, regroup into tens and ones.

a) + = =

ones + ones = ones = ten

b) + = =

ones + ones = ones = ten and ones

c) + = =

ones + ones = ones = ten and ones

2. Let's add together these tens blocks. Then, regroup into hundreds and tens.
a)

+= =

tens + tens= tens = hundred and tens

b) =

+=

tens + tens= tens = hundred and ten

c) = =

+

tens + tens= tens = hundred and tens

vedanta Excel in Mathematics - Book 3 74 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Addition - How many altogether?

3. Let's add together these hundreds blocks. Then, regroup into thousands and
hundreds.

a) =

+=

hundreds+ hundreds= hundreds = thousand

b) =

+=

hundreds+ hundreds= hundreds = thousand and hundred

c) =

+=

hundreds+ hundreds= hundreds = thousand and hundreds
4. Let's add and regroup into the higher places.

a) 6 ones + 7 ones = ones = ten and ones

b) 8 ones + 9 ones = ones = ten and ones

c) 7 tens + 7 tens = tens = hundred and tens

d) 9 tens and 6 tens = tens = hundred and tens

e) 5 hundreds+9 hundreds = hundreds = thousand and hundreds

f) 5 hundreds+9 hundreds = hundreds = thousand and hundreds

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 75 vedanta Excel in Mathematics - Book 3

Addition with carryover

1. Let's add ones and regroup into tens. Then carry 1 ten over tens place and
complete the addition.

TO 1 carry over to tens place I understood!
18 8 ones + 7 ones = 15 ones
TO 1 15 ones = 1 ten and 5 ones
+2 7 18 I carry 1 ten over the tens
3 15 18 place.
+2 7
4 15 +2 7
45

a) b) c) d) e)

15 26 27 33 38
+1 9 +1 8 +2 4 +2 9 +2 7

f) g) h) i) j)

36 42 44 53 59
+3 7 +2 8 +3 9 +1 7 +2 6

k) l) m) n) o)

39 28 17 45 67
+4 1 +6 2 +5 8 +3 5 +1 3

p) q) r) s) t)

57 63 75 86 88
+3 5 +2 7 +1 8 +9 +8

vedanta Excel in Mathematics - Book 3 76 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Addition with carryover

2. Let's add ones and regroup into tens, add tens and regroup into hundreds. Then,

carry 1 ten over tens place and 1 hundred over hundreds place. Then complete

the addition. 1 11

HT O HT O HT O

25 6 25 6 25 6 25 6

+3 7 8 +3 7 8 +3 7 8 +3 7 8
5 12 14 5 13 4 63 4 63 4

a) b) c) d)

17 4 25 7 25 3 34 9
+1 1 8 +1 0 9 +2 3 7 +1 4 6

e) f) g) h)

36 0 49 2 47 7 54 6
+2 8 5 +1 5 0 +2 6 5 +3 9 4

i) j) k) l)

53 9 62 6 63 5 78 9
+2 7 8 +1 7 4 +2 6 5 +1 2 3

m) n) o) p)

18 00 27 00 36 50 38 90

+2 5 0 0 +3 9 0 0 +1 4 6 0 +4 7 8 0

q) r) s) t)

43 85 59 78 64 37 75 66
+2 8 9 4 +1 8 4 9
+1 7 8 5 +2 6 5 7

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 77 vedanta Excel in Mathematics - Book 3

Addition with carryover

Let's use addition in real life!
1. Let's read the problems carefully and answer them.

a) 250 girls and 150 girls, how many girls altogether? Trick!
+ = girls 200 + 100 = 300
50 + 50 = 100
So, 250 + 150 = 400

b) 360 girls and 240 boys, how many students altogether?

+ = students

c) 700 people and 400 people, how many people altogether?

+ = people 6 + 8 = 14
d) 600 men and 800 women, how many people altogether? 600 + 800 = 1400

+ = people

e) 550 deer and 450 deer, how many deer altogether?

+ = deer

f) 900 deer and 180 elephants, how many animals altogether?

+ = animals

g) Rs 850 and Rs 750, how many rupees altogether?

+ = rupees

h) 600 km and 360 km, what is the total distance?

km + km = km

i) 490 kg and 260 kg, what is the total weight? Our tricky way!
490 kg + 260 kg
kg + kg = kg 400 kg + 200 kg = 600 kg
90 kg + 60 kg = 150 kg
vedanta Excel in Mathematics - Book 3 78 600 + 150 = 750

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Addition with carryover

2. Let's read the problems carefully and answer them. 285
+265
a) In an examination 285 girls got grade A. 265
boys got grade B and none of the students got
below B grade. How many students appeared
the examination?

550 students appeared the examination.

b) Deejina made necklace for her friends. She used
478 green beads and 395 red beads. How many
beads did Deejina use in all?

She used beads in all.

c) Kathmandu is 377 km west from Biratnagar.
Pokhara is 205 km west from Kathmandu. How
far is Pokhara from Biratnagar?

Pokhara is km far from Biratnagar.

d) Shreyasha paid Rs 6,890 to buy a mobile and
Rs 2,760 to buy a jacket. How much money did
she spend altogether?

She spent altogether.

e) There are 4,458 male and 4,935 female in a
village. What is the total population of the
village?

The population of the village is

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 79 vedanta Excel in Mathematics - Book 3

Addition with carryover

Shopping Time!
3. Let's read the price of these items. Then answer the following questions.

Rs 2,480 Rs 1,895 Rs 4,638 Rs 1,575 Rs 1,267

a) How much do you need to pay for a frock and
a pair of shoes?

I need to pay + =

b) What is the total cost of a hat and a jacket?
The total cost is + =

c) Father bought a half pant and a hat. How much money
did he pay in total?

He paid + =

d) Mother bought a frock for her daughter and a jacket for
her son. What was her total payment?

Her total payment was + =

e) What is the total cost of a hat and shoes?

The total cost is + =

vedanta Excel in Mathematics - Book 3 80 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Subtraction - How many are left?

Classwork – Exercise

1. Let's count the number of birds in the picture. Say and write the answer as
quickly as possible.

a) How many birds are there in all?

There are birds in all.

b) How many more sparrows are there than crows?

There are – = more sparrow.

c) How many less parrots are there than pigeons?

There are – = less parrots.

d) If 5 sparrows lew away, how many birds are left?

– = birds are left.

e) If 6 pigeons lew away, how many pigeons are left?

– = pigeons are left.

Now, let's count the birds and check your answers.
2. Let's subtract. Say and write answers quickly.

a) 6 – 2 = b) 7 – 4 = c) 8 – 3 =

d) 9 – 5 = e) 10 – 7 = f) 13 – 4 =

g) 12 – 6 = h) 14 – 9 = i) 17 – 8 =

j) 18 – 3 = k) 20 – 7 = l) 22 – 6 =

m) 24 – 4 = n) 30 – 10 = o) 50 – 5 =

p) 80 – 20 = q) 70 – 5 = r) 90 – 30 =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 81 vedanta Excel in Mathematics - Book 3

Subtraction - How many are left?

3. Let's say and write the missing numbers as quickly as possible.

a) – 3 = 6 b) 10 – =4 My tricky way!
In – 3 = 6, I should
c) 12 – =7 d) – 5 = 3 simply add 6 + 3 = 9.
Then, 9 – 3 = 6.

e) – 8 = 8 f) 17 – =7 I have also a trick!

In 25 – = 15, I should

ϔind 25 – 15 = 10.

g) 18 – =6 h) – 6 = 14 Then, 25 – 10 = 15.

i) – 7 = 8 j) 25 – = 15

It's your time!
4. Let's search and write your numbers to get the given difference.

a) – = 2 b) – = 3 c) – = 4

d) – = 0 e) – = 7 f) – = 10

g) – = 8 h) – = 9 i) – = 15

5. Let's search any 3 pairs of numbers to get the given difference after subtraction.

5= – , –, –

6= – , –, –

7= – , –, –

8= – , –, –

6. Let's listen to your teacher! Write her numbers and ind the differences.

a) – = b) – =

c) – = d) – =

e) – = f) – =

vedanta Excel in Mathematics - Book 3 82 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Subtraction - How many are left?

Fun of addition and subtraction!

7. Let's do these additions and subtractions. Investigate the relation between
addition and subtraction. Discuss with your friends.

a) 3 + 4 = Then, 7 – 3 = and 7 – 4 =

b) 6 + 5 = Then, 11 – 2 = and 11 – 5 =

c) 2 + 7 = Then, 9 – 2 = and 9 – 7 =

d) 6 + 4 = Then, 10 – 6 = and 10 – 4 =

e) 7 + 8 = Then, 15 – 7 = and 15 – 8 =

f) 5 + 9 = Then, 14 – 5 = and 14 – 9 =

Quiz Time!

8. Let's say and write two numbers as quickly as possible.

a) The sum of two numbers is 5 and the difference is 1. 4 + 1 = 5 but
4 – 1 is not 1,
The numbers are and 3 +2 = 5 and
3 – 2 = 1, so
b) The sum of two numbers is 6 and the difference is 2. the numbers
are 3 and 2.

The numbers are and

c) The sum of two numbers is 7 and the difference is 1.

The numbers are and Sum of 8 and 4 is 12.
Difference of 8 and 4 is 4.
d) The sum of two numbers is 10 and the difference is 2.

The numbers are and

e) The sum of two numbers is 12 and the difference is 4.

The numbers are and

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 83 vedanta Excel in Mathematics - Book 3

Subtraction - How many are left?

Subtraction by using number lines.
9. Let's jump backward on the number line and subtract as shown.

a)

5432 1

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

14 – 5 jumps = 9

b)

6 5432 1

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

– jumps =

c)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

– jumps =
d)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Subtract 17 – 4 =

e)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Subtract 15 – 5 =

f)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Subtract 16 – 8 =

vedanta Excel in Mathematics - Book 3 84 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Subtraction with borrowing

Subtraction with borrowing
1. Let's learn to borrow 1 ten from tens to ones place.

1 ten is borrowed to 2 ones.
There are now 12 ones.

a)

1 ten is borrowed to 3 ones.

b) There are now ones.

1 ten is borrowed to 4 ones.

There are now ones.

2. Let's borrow 1 ten from tens place to ones place. Then rewrite the number of
tens and ones.

a) Borrow 1 ten from tens place of 2 1 T O TO
1 11
to 1 ones. 21

b) Borrow 1 ten from tens place of 3 2 TO TO
to 2 ones. 32

c) Borrow 1 ten from tens place of 4 5 TO TO
to 5 ones. 45

d) Borrow 1 ten from tens place of 5 0 TO TO
to 0 ones. 50

e) Borrow 1 ten from tens place of 8 3 TO TO
to 3 ones. 83 TO

f) Borrow 1 ten from tens place of 9 0 TO vedanta Excel in Mathematics - Book 3
to 0 ones. 90

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 85

Subtraction with borrowing

3. Now, let's borrow 1 ten from tens place to ones place. Then subtract.

a) b) c) d) e)
TO TO TO TO TO
2 10
20 21 23 32
30

–8 –5 –7 –14 –13

22

f) g) h) i) j)

41 45 50 56 63
–16 –27 –29 –38 –45

k) l) m) n) o)

67 74 72 81 86
–28 –59 –44 –25 –47

p) q) r) s) t)

90 93 85 71 99
–57 –66 –35 –41 –79

4. Let's try these subtractions also.

a) 24 – 9 = b) 33 – 7 = c) 46 – 8 =
f) 70 – 25 =
d) 51 – 15 = e) 62 – 34 = i) 98 – 89 =

g) 85 – 67 = h) 96 – 49 = Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 3 86

Subtraction with borrowing

5. Again, let's borrow 1 hundred from hundreds place to tens place. Then subtract.

1 hundred is borrowed to 1 ten.
There are now 11 tens.

1 hundred is borrowed to 2 tens.

There are now tens.

1 hundred is borrowed to 3 tens.

There are now tens.

6. Let's borrow 1 ten from tens place to ones place. Then rewrite the number of
tens and ones.

a) Borrow 1 hundred from 1 4 2 HT O HT O
to 5 ten. 142 14 1

b) Borrow 1 hundred from 3 2 5 H TO HT O
to 2 ten. 3 25 HT O

c) Borrow 1 hundred from 4 0 6 HT O
to 0 ten. 406

d) Borrow 1 hundred from 5 3 0 HT O HT O
to 3 ten. 530

e) Borrow 1 hundred from 6 1 3 HT O HT O
to 1 ten. 613

f) Borrow 1 hundred from 8 0 4 HT O HT O
to 0 ten. 804

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 87 vedanta Excel in Mathematics - Book 3

Subtraction with borrowing

7. Let's borrow 1 thousand to hundreds place, 1 hundred to tens place and 1 ten to
ones place. Then subtract.

1T 9T 10 ones

1H 10T H T O

H TO HT O

200 0 0 0 –7
–7 –7 1 93
–7

9 10 1 9 10 2 9 10 3 9 10 50 0

10 0 20 0 30 0 40 0
–3 –5 –16
97 – 2 4 –1 3 2
19 5

205 304 450 540 913
–1 2 8 –1 5 6 –1 7 5 –2 9 2 –4 6 7

721 838 667 982 876
–3 4 3 –5 3 9 –2 6 8 –7 8 5 –3 9 8

9 9 10 20 00 34 00 40 50
– 235 –1 5 6 3 –1 3 5 5
10 00
– 42

67 23 72 46 85 17 98 30

–4 9 7 4 –3 8 4 9 –6 7 2 8 –5 9 4 6

vedanta Excel in Mathematics - Book 3 88 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Subtraction with borrowing

Let's use subtraction in our real life!

Classwork – Exercise

1. Let's read the problems carefully and answer them.
a) Among 200 students, 110 are girls. How many are boys?

200 – 110 = are boys.

b) Among 400 people, 250 are men. How many are women?

– = are women.

c) From Rs 500 you spend Rs 125. How many rupees are left?

– = Rs are left.

d) From 300 kg of fruits, 120 kg of fruits are sold. How may kilograms of fruits are
left? – = kg of fruits are left.

e) By how much is 600 more than 340? – =
f) By how much is 750 more than 800? – =
g) By how much is Rs 1,000 more than Rs 925? – =
h) By how much is Rs 1,350 less than Rs 1,500? – =
i) Among 2,000 children, 1,200 are boys. How many are girls.

– = are girls.
j) From Rs 5,000, you spent Rs 2,500. How many rupees did you save?

– = was saved.

k) From an income of Rs 9,000, you saved Rs 7,500. How many rupees did you spend?
– = Rs was spent.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 89 vedanta Excel in Mathematics - Book 3

Subtraction with borrowing

2. Let's read the problems carefully and answer them.

a) Bhurashi bought a box of 350 paper clips. So, far she has 350
–165
used 165 of them. How many are left?

350 – 165= clips are left.

b) Of the 424 primary level students, 278 attended the
school festival. How many students did not attend the
festival.

– = students did not attend.

c) There are 960 students in a school. 470 of them are boys.
How many of them are girls?

– = are girls

d) The price of a video game is Rs 836 and the price of a
toy car is Rs 476. By how much is the video game more
expensive than the toy car?

Video game is more expensive by – = Rs

e) The total cost of a T-short and a pair of shoes is
Rs 1,580. If the cost of the pair of shoes is Rs 695, what
is the cost of the T-shirt?

The cost of T-shirt is – = Rs

f) On a Polio Vaccination Day, among 3,210 children, 1,472
children were vaccinated. How many children were left
to get the vaccine?

–= children were left. Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 3 90

Addition and Subtraction

Mixed Problems
3. Let's read these problems carefully. Investigate whether to add or to subtract.

Then answer them.

a) In an annual school day, a school invited 245 women
and some men. 420 people were invited in all. How
many men were invited?

b) In the World Environment Day, third-grade students
collected 378 waste polythene bags and fourth-grade
students collected 567 waste bags. How many waste
polythene bags did they collect in all?

c) The price of a school bag is Rs 730. You have only
Rs 550 with you . How much money is insuf icient to
buy the bag?

d) By how much is Rs 350 less than Rs 500?
By

e) The price of a watch is Rs 1,460 which is Rs 2,780 less
than the price of a mobile. How much is the price of the
mobile?

f) The price of a jacket is Rs 2,500 which is Rs 1,600 more
than the price of a pair of shoes. What is the price of
the pair of shoes?

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 91 vedanta Excel in Mathematics - Book 3

6Unit Multiplication and Division

Multiplication - How many times, how many altogether?

Classwork – Exercise

1. Let's count how many times the groups of blocks are. Then, multiply. Say and
write the total number of blocks.

a) 3 times 2 blocks = 3 × 2 = 6

3 times 2 blocks

b) 2 times 3 blocks = 2 × 3 =
times blocks = × =
2 times 3 blocks

c)

d) times blocks = × =

e) times blocks = × =

f) times blocks = × =

Do you know? =6
2 × 3 means, 2 times 3 things. ‘ =6
3 × 2 means, 3 times 2 things. ‘

2. Now, let's draw as many dots in each box as to match the sums.

a) 4 × 2 = = dots

b) 2 × 4 = = dots

c) 3 × 5 = = dots

d) 5 × 3 = = dots

vedanta Excel in Mathematics - Book 3 92 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Multiplication - How many times, how many altogether?

Multiplier, Multiplicand and Product

4 times 5 = 4 × 5 = 20 3 × 6 = 18
4 is the multiplier
5 is the multiplicand Multiplier Multiplicand Product
20 is the product

1. Let's say and write the multiplier, multiplicand and the product.

a) In 3 × 4 = 12, multiplier is , multiplicand is , product is

b) In 4 × 3 = 12, multiplier is , multiplicand is , product is

c) In 5 × 6 = 30, multiplier is , multiplicand is , product is

d) In 2 × 7 = 14, multiplier is , multiplicand is , product is
2. Now, let's say and write the multiplier, multiplicand and product.

a) 3 times 6 = 3 × 6 = 18 and 6 times 3 = 6 × 3 =

b) 5 times 2 = × = and 2 times 5 = × =

c) 4 times 7 = × = and 7 times 4 = × =

d) 2 times 4 = × = and 4 times 2 = × =

e) 6 times 8 = × = and 8 times 6 = × =

3. It's your time! Let's write your multiplier and multiplicand. Then ind the
product.

a) × = b) × = c) × =

d) × = e) × = f) × =

g) × = h) × = i) × =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 93 vedanta Excel in Mathematics - Book 3

Multiplication - How many times, how many altogether?

Multiplication Tables

1. Let's count the number of dots in each box and the number of boxes. Then
complete the multiplication tables.

a) Table of 2 times

2 ones are 2 2×1 =

2 twos are 2×2 =

2 threes are 2×3 =

2 fours are 2×4 =

2 ives are 2×5 =

2 sixes are 2×6 =

2 sevens are 2×7 =

2 eights are 2×8 =

2 nines are 2×9 =

2 tens are 2 × 10 =

b) Table of 3 times

3 ones are 3 3×1 =
3 twos are 3×2 =
3 threes are 3×3 =
3 fours are 3×4 =
3 ives are 3×5 =
3 sixes are 3×6 =
3 sevens are 3×7 =
3 eights are 3×8 =
3 nines are 3×9 =
3 tens are 3 × 10 =

vedanta Excel in Mathematics - Book 3 94 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Multiplication - How many times, how many altogether?

c) Table of 4 times

4 ones are 4 4×1 =
4 twos are 4×2 =
4 threes are 4×3 =
4 fours are 4×4 =
4 ives are 4×5 =
4 sixes are 4×6 =
4 sevens are 4×7 =
4 eights are 4×8 =
4 nines are 4×9 =
4 tens are 4 × 10 =

d) Table of 5 times

5 ones are 5 5×1 =
5 twos are 5×2 =
5 threes are 5×3 =
5 fours are 5×4 =
5 ives are 5×5 =
5 sixes are 5×6 =
5 sevens are 5×7 =
5 eights are 5×8 =
5 nines are 5×9 =
5 tens are 5 × 10 =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 95 vedanta Excel in Mathematics - Book 3

Multiplication - How many times, how many altogether?

Recalling Time!

Classwork – Exercise

1. Let's recall the multiplication tables upto 5. Say and write the product as quickly
as possible.

a) 2 × 7 = b) 3 × 5 = c) 4 × 9 = d) 5 × 6 =

e) 4 × 8 = f) 5 × 10 = g) 2 × 4 = h) 3 × 9 =

i) 3 × 6 = j) 4 × 7 = k) 5 × 5 = l) 2 × 8 =

m) 5 × 9 = n) 3 × 8 = o) 2 × 10 = p) 4 × 6 =

q) 2 r) 5 s) 4 t) 3 u) 2 v) 4 w) 5
×6 ×7 ×5 ×7 ×5 × 10 ×8

It's your time!
2. Let's write your multiplier and multiplicand to get the given product.

a) × = 8 b) × = 10 c) × = 12

d) × = 15 e) × = 18 f) × = 20

3. Let's write two pairs of multipliers and multiplicands to get the given products.

6= × , × 8= × , ×
×
14 = × , × 16 = × ,

4. Let's ill in the missing numbers to get the given products.

a) 2 × = 16 b) × 9 = 27 c) 4 × = 24
d) × 5 = 20
g) 3 × = 21 e) 5 × = 40 f) × 7 = 21

vedanta Excel in Mathematics - Book 3 h) × 8 = 48 i) 5 × = 50

96 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Multiplication - How many times, how many altogether?

Multiplication - A repeated Addition

Classwork – Exercise

1. Let's have a fun of addition and multiplication! Say and write the correct

numbers in the blanks.

I got it!

a) + + 2 is added 3 times Multiplication is the
repeated addition.

2+2+2=3×2=

b) + + + + 3 is added 5 times × =
3+3+3+3+3=

c) + 4 is added 2 times
4+4= × =

d) + + + 5 is added 4 times
5+5+5+5=
× =

2. Let's say the correct numbers and ill in the blanks.

a) 2 + 2 + 2 + 2 + 2 = × = I also understood!
Multiplication is the
repeated addition

b) 3 + 3 + 3 + 3 = × =

c) 4 + 4 + 4 =×=

d) 5 + 5 + 5 + 5 + 5 = × =

Now, it's your time!
3. Let's write your numbers and have a fun of multiplication as repeated addition.

a) + + = × = I can do it!
4 + 4 + 4 + 4 = 4 × 4 = 16

b) + + + = ×=

c) + = × =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 97 vedanta Excel in Mathematics - Book 3

Multiplication - How many times, how many altogether?

Multiplication tables from 6 to 10

Table of 6 times Table of 7 times Table of 8 times Table of 9 times

6×1 =6 7×1 =7 8×1 =8 9×1=9

6 × 2 = 12 7 × 2 = 14 8 × 2 = 16 9 × 2 = 18

6 × 3 = 18 7 × 3 = 21 8 × 3 = 24 9 × 3 = 27

6 × 4 = 24 7 × 4 = 28 8 × 4 = 32 9 × 4 = 36

6 × 5 = 30 7 × 5 = 35 8 × 5 = 40 9 × 5 = 45

6 × 6 = 36 7 × 6 = 42 8 × 6 = 48 9 × 6 = 54

6 × 7 = 42 7 × 7 = 49 8 × 7 = 56 9 × 7 = 63

6 × 8 = 48 7 × 8 = 56 8 × 8 = 64 9 × 8 = 72

6 × 9 = 54 7 × 9 = 63 8 × 9 = 72 9 × 9 = 81

6 × 10 = 60 7 × 10 = 70 8 × 10 = 80 9 × 10 = 90

Fun of multiplication with zero (0). Table of 10 times

There are zero (0) number of 10 × 1 = 10
pencils in a box. 10 × 2 = 20
So, 1 time 0 = 1 × 0 = 0 10 × 3 = 30
There are 0 numbers of 10 × 4 = 40
pencils in 2 boxes. 10 × 5 = 50
So, 2 times 0 = 2 × 0 = 0 10 × 6 = 60
Similarly, 0 times any number is also 0. 10 × 7 = 70
0 × 1 = 0, 0 × 2 = 0, 0 × 3 = 0, ... and so on. 10 × 8 = 80
10 × 9 = 90
10 × 10 = 100

vedanta Excel in Mathematics - Book 3 98 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Multiplication - How many times, how many altogether?

Recalling Time!

Classwork – Exercise

1. Let's recall the multiplication tables upto 10. Say and write the products as
quickly as possible.

2×3=3×2= 3×4=4×3= 4×5=5×4=

2×4=4×2= 3×5=5×3= 4×6=6×4=

2×5=5×2= 3×6=6×3= 4×7=7×4=

2×6=6×2= 3×7=7×3= 4×8=8×4=

2×7=7×2= 3×8=8×3= 4×9=9×4=

2×8=8×2= 3×9=9×3= 4×10 = 10×4=

2×9=9×2= 3×10 = 10×3 =

2×10 = 10×2 =

5×6=6×5= 6×7=7×6= 7×8=8×7=
5×7=7×5= 6×8=8×6= 7×9=9×7=
5×8=8×5= 6×9=9×6= 7×10=10×7 =
5×9=9×5= 6×10 = 10×6 = 8×9=9×8=
5×10 = 10×5 = 8×10=10×8 =
9×10 =10×9 =

2. Let's say and write the missing multipliers or multiplicands.

7 × = 28 × 9 = 54 8 × = 24 × 10 = 90

10 × = 60 × 8 = 56 9 × = 45 6 × = 48

× 7 = 63 6× = 42 × 7 = 49 8 × = 72

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 99 vedanta Excel in Mathematics - Book 3

Multiplication - How many times, how many altogether?

Puzzle Time!

3. Let's ill in the missing numbers to complete the sums.

2— =8 — 2 = 10 — 3 = 12

— —— — —— — ——

—= —= —=
= == = == = ==

10 — = 40 5 — = 30 8 — 9 =

Quiz Time!

4. Let's say and write two numbers as quickly as possible.

2 3a) The product is 6 and the sum is 5. The numbers are
and

b) The product is 8 and the sum is 6. The numbers are and

c) The product is 15 and the sum is 8. The numbers are and

d) The product is 10 and the sum is 11. The numbers are and

e) The product is 12 and the difference is 1. The numbers are and

f) The product is 16 and the difference is 0. The numbers are and

g) The product is 18 and the difference is 3. The numbers are and

5. It's your time! Let's write your multipliers and multiplicands to get the given
products.

a) × = 16 b) × = 20 c) × = 24
d) × = 30 e) × = 36 f) × = 40
g) × = 12 h) × = 18 i) × = 32

vedanta Excel in Mathematics - Book 3 100 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur