Vedanta Excel in Mathematics - 2 Final (2078)

Addition with carry over

Adding tens and regrouping into hundreds and tens
2. Let’s add the tens blocks and regroup into hundreds and tens.

a)

+= =

5 tens + 5 tens = 10 tens = 1 hundred

b) =

+=

tens + tens = tens = hundred and tens

c)

+= =

tens + tens = tens = hundred and tens

d) =

+=

tens + tens = tens = hundred and tens

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Addition with carry over

3. Let’s add ones and regroup into tens and ones.

a) 3 ones + 8 ones = 11 ones = 1 ten and 1 one

b) 5 ones + 8 ones = ones = ten and ones

c) 4 ones + 9 ones = ones = ten and ones

d) 6 ones + 8 ones = ones = ten and ones

e) 2 ones + 9 ones = ones = ten and ones

f) 7 ones + 8 ones = ones = ten and ones

g) 9 ones + 7 ones = ones = ten and ones

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

i) 5 ones + 8 ones = ones = ten and ones

Now, let’s add with carry over. I got it!
In 6 + 9 = 15,
6 ones 1 there is 1 ten and 5 ones

Tens Ones in 15.

6

+ 9 ones +9
15 ones = 1 ten and 5 ones 15

Tens Ones 1 Carry over 1 (ten) Understood!
18 In 8 + 5 = 13, we write 3
Tens Ones at ones place. We carry
+5
13 ones = 1 ten and 3 ones 1 8 1 ten over tens place.

+5
23

Tens Ones 1 Carry over It's easy!
27 In 7 + 5 = 12, let's write
Tens Ones 2 at ones place and carry
+1 5 27
12 ones = 1 ten and 2 ones 1 ten over tens place.
+1 5
42

vedanta Excel in Mathematics - Book 2 102 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Addition with carry over

4. Let’s add ones and regroup into tens and ones. Then carry over 1 ten in
tens place.

a) b) O c) d) O
7 T 8
1 1 TO
4 + 8
TO T
6 +9
+8
+5
15
11

e) f) g) O h) O
TO 6 T 7
9 TO T 1
13 1 7 8
+8 +9 + +

i) j) O k) O l) O
8 7 5
TO T T T
19 1 4 2 6 2 9
+5 +1 +1 +2

m) O n) O o) O p) O
2 T 7 T 6 T 4
T 3 4 5
3 8 5 7 8
+2 +3 +3 +3

q) O r) O s) O t) O
9 6 8 3
T T T T
4 8 2 5 6 6 3 7
+4 +6 +2 +5

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 103 vedanta Excel in Mathematics - Book 2

Addition with carry over

5. Let’s add tens and regroup into hundreds and tens.

a) 4 tens + 9 tens = 13 tens = 1 hundred and 3 tens

b) 3 tens + 8 tens = tens = hundred and tens

c) 6 tens + 6 tens = tens = hundred and tens

d) 5 tens + 9 tens = tens = hundred and tens

e) 8 tens + 7 tens = tens = hundred and tens

f) 7 tens + 6 tens = tens = hundred and tens

g) 9 tens + 7 tens = tens = hundred and tens

h) 9 tens + 8 tens = tens = hundred and tens

It’s your time!

6. Now, let’s add tens to match the total tens. Then regroup into hundreds
and tens.

a) tens + tens = 11 tens = hundred and ten

b) tens + tens = 12 tens = hundred and tens

c) tens + tens = 13 tens = hundred and tens

d) tens + tens = 14 tens = hundred and tens

e) tens + tens = 15 tens = hundred and tens

f) tens + tens = 16 tens = hundred and tens

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Addition with carry over

Let’s carry 1 ten over to the tens place and 1 hundred over to the hundreds place.
Then complete the additions.

H TO 1 11 O 165
1 65 5 +4 7
+ 47 HTO HT 7 212
16 5 1+1 6 2
12
4+1 7 4
11 2 21

H TO 1 11 O 289
89 9 +1 5 8
2 58 HTO HT 8
+1 289 28 7 447
17 1 5+ 1 8 1+ 1 5
44
14 7

7. Now, let's complete the following additions.

a) HTO HTO 184
+6 7
HTO 184 184
184 67 67
+ 67

b) HTO HTO 356
+2 7 8
HTO 356 356
356 278 278
+2 7 8

c) HTO HTO 279
HTO +4 6 3
279 279
279 463 463
+4 6 3

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Addition with carry over

8. Let’s add carrying 1 ten and 1 hundred over tens and hundreds places.

a) b) c) d)
HT O HT O HT O HT O
164 183 145 258
+8 +7 +3 6 +2 9

e) f) g) h) T O
HT O HT O HT O H 5 2
267 279 396 3 8 8

+1 2 6 +1 3 5 +1 4 4 +2

i) j) k) l)
HT O HT O HT O HT O

483 456 143 217

+2 6 9 +2 4 8 +5 6 7 +6 9 5

m) n) o) p) T O
HT O HT O HT O H 2 5
520 271 397 7 8 1

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

q) r) s) t) O
HT O HT O HT O HT 3
754 465 837 69 8

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

vedanta Excel in Mathematics - Book 2 106 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Addition with carry over

Let’s use addition in our real life!
1. Read the following problems carefully and answer them.

a) There are 16 boys and 18 girls in a class. 16
How many students are there altogether + 18
in the class?

There are 34 students altogether.

b) The cost of a drawing book is 57 rupees +
and the cost of a pen is 35 rupees. What +
is the total cost of these two items. +

The total cost is rupees.

c) There are 24 cows and 46 goats in a
farm. How many animals are there
altogether in the farm?

There are animals altogether.

d) A shopkeeper has two boxes of fruits. There
are 39 apples in one box and 37 oranges
in another box. How many fruits are there
altogether?

There are fruits altogether.

e) Motherpays48rupeestobuysomevegetables +
and 45 rupees to buy some fruits. How many
rupees does she spend altogether?

She spends rupees altogether.

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Addition with carry over 234
+ 278
Let’s use addition in our real life!
2. Read the following problems carefully and answer them.

a) There are 234 girls and 278 boys in a school.
How many students are there altogether in
the school?

There are students altogether.

b) Father pays 575 rupees to buy your shoes +
and 380 rupees to buy your bag. How many
rupees does he spend altogether?

He spends rupees altogether.

c) 196 children got polio vaccination on Sunday +
and 207 got the vaccination on Monday. How +
many children got polio vaccination in two
days?

children got polio vaccination in two days.

d) The cost of a plate of Mo:Mo is 175 rupees and
the cost of an ice-cream is 145 rupees. How
much money do you need to pay to buy these
items?

I need rupees to buy these items.

e) There are 468 deers and 196 elephants in a +
national park. Find the total number of these
animals.

The total number is

vedanta Excel in Mathematics - Book 2 108 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

7Unit Subtraction with Borrowing

Borrowing 1 ten to ones place
Let’s learn to borrow 1 ten from tens to ones place.

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

1 ten is borrowed to 3 ones.
There are now 13 ones.

1 ten is borrowed to 4 ones.
There are now 14 ones.

1 ten is borrowed to 5 ones.
There are now 15 ones.

1. 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 3 T O TO
1 13
to 3 ones. 23

b) Borrow 1 ten from tens place of 3 6 T O TO

to 6 ones. 36

c) Borrow 1 ten from tens place of 4 0 T O TO

to 0 ones. 40

d) Borrow 1 ten from tens place of 7 1 T O TO

to 1 ones. 71

e) Borrow 1 ten from tens place of 8 5 TO TO
to 5 ones. 85

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Subtraction with Borrowing

3. Let’s borrow 1 ten from tens place to ones place. Then subtract.

TO TO

2 12 6 15

32 75
–5 –2 6

27 49

a) T O b) T O c) T O d) T O e) T O

21 4 33 45 26 0
–7 – 8 –1 6 –1 9 –2 5

f) T O g) T O h) T O i) T O j) T O

75 81 90 46 57
–2 9 –3 2 –6 4 –3 8 –4 9

k) T O l) T O m) T O n) T O o) T O

6 29 57 68 43 3
–4 4 –5 8 –2 7 –6 5 –2 6

p) T O q) T O r) T O s) T O t) T O

8 57 06 79 85 6
–4 7 –1 7 –4 8 –7 9 –2 9

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Subtraction with Borrowing

Borrowing 1 hundred to tens place
Let’s learn to borrow 1 hundred from hundreds to tens place.

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

1 hundred is borrowed to 2 tens.
There are now 12 tens.

1 hundred is borrowed to 3 tens.
There are now 13 tens.

1. Let’s borrow 1 hundred from hundreds place to tens place. Then rewrite
the number of hundreds and tens.

a) Borrow 1 hundred from 2 5 4 H TO H TO
to 5 tens. 2 54 1 15 4

b) Borrow 1 hundred from 3 2 6 H TO H TO
to 2 tens. 3 26

c) Borrow 1 hundred from 4 3 9 H TO H TO
to 3 tens. 4 39

d) Borrow 1 hundred from 6 4 3 H T O H TO

to 4 tens. 6 43

e) Borrow 1 hundred from 8 1 5 H TO H TO
15
to 1 ten. 8

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Subtraction with Borrowing

2. Let’s borrow 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

100 0 0 0
–5 –5 –5
95

9T 10 Ones 1H 9T 10 Ones 2H 9T 10 Ones 3H 9T 12 Ones

100 200 300 402

–8 –14 –1 2 7 –2 3 6
92 186 173 166

a) b) T O c) d)
0 0 HT O
HT O H 4 3 HT O 304
500 6 205
–1 2 5 –2 –1 2 8 –1 5 7

e) f) O g) h)
0
1 12 10 HT 2 HT O HT O
32 410 540
HT O –1 5 –2 7 4 –2 6 8

230

–1 4 5
85

i) j) O k) l)
6
HT O HT 9 HT O HT O
423 53 712 946
–2 6 5 –1 7 –3 4 3 –4 6 7

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Subtraction with Borrowing

3. Let’s subtract as quickly as possible.

a) b) c) d) e) f)

65 87 72 50 91 54
–2 3 –4 5 –3 4 –2 5 –5 6 –1 3

g) h) i) j) k)

144 256 321 463 570
– 32 – 24 – 12 –1 0 8 –2 3 1

l) m) n) o) p)

605 650 803 830 412
–3 2 3 –2 3 4 –4 7 0 –5 0 9 –1 5 3

q) r) s) t) u)

546 964 728 255 317
–2 7 8 –6 9 5 –3 4 9 –1 8 7 –2 9 8

It’s your time!
4. Let’s write your number just below the given numbers. Then subtract.

a) 4 7 b) 5 3 c) 6 0 d) 7 4 e) 9 2
– – – – –

f) 2 3 1 g) 5 0 2 h) 6 2 0 i) 7 1 5 j) 8 1 0
–– –––

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Subtraction with Borrowing

Let’s use subtraction in real life!
1. Read the problems carefully and answer them as quickly as possible.

a) You have 42 sweets. You and your friends 42
eat 15 sweets. Now, how many sweets are – 15
left with you?

sweets are left.

b) Bhurashi made 51 paper airplanes but only –
25 could ly. How many airplanes could not
ly?

airplanes could not ly.

c) There are 30 students in a class and 14 of –
them are boys. How many girls are there in
the class?

There are girls in the class.

d) Mother has 75 rupees. She spends 48 rupees –
to buy a biscuit for you. How many rupees
does she have now?

Now, she has rupees.

e) The total cost of a pen and a box is 92 rupees. –
If the cost of the pen is 36 rupees, ind the
cost of the box.

The cost of the box is rupees.

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Subtraction with Borrowing

Let’s use subtraction in real life!
2. Read the problems carefully and answer them as quickly as possible.

a) A shopkeeper has 250 kilograms of fruits. He 250
sells 135 kilograms of fruits on a day. How – 135
many kilograms of fruits are left with him?

kilograms of fruits are left.

b) There are 421 students in a school. 169 of
them are girls. How many of them are boys?

There are boys. –

c) The cost of a bag is 375 rupees. You give a 500 –
rupees note to the shopkeeper to buy it. How
many rupees does the shopkeeper return to you?

The shopkeeper returns you rupees.

d) There are 782 children in a village. 496 of them –
are admitted in different schools. How many
children are left to be admitted in school?

children are left to be admitted.

e) Father has 940 rupees. He spends 865 –
rupees to pay your school fee. How many
rupees are left with him now?

He has rupees left.

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Subtraction with Borrowing

How many less and how many more?
1. Let’s find by how many a number less or more than other numbers.

a) By how many is 4 less than 5? How do you know it is 1?

b) By how many is 7 less than 9? How do you know it is 2?

c) By how many is 8 more than 6? We got it!
d) By how many is 10 more than 9? we should subtract
smaller number from
bigger number to
find how much less
or more a number is.

Let's subtract smaller number from bigger number. Then, ind by how many a
smaller number is less than a bigger number. Also, by how many a bigger number
is more than a smaller number.

2. Let’s tell and write the answer as quickly as possible.

a) By how many is 3 less than 8? 8–3=5

b) By how many is 9 more than 6? 9 – 6 =

c) By how many is 10 less than 15?

d) By how many is 16 more than 12?

e) By how many is 20 less than 27?

f) By how many is 35 more than 25?

g) By how many is 50 less than 75?

h) By how many is 100 more than 80?

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Subtraction with Borrowing

3. Let’s read the problems carefully and answer them as quickly as possible.

a) You have 10 rupees and your friend has 5 10
rupees. Who has got more money and by –6
how much?

have got more money by rupees.

b) Brother has 18 sweets and sister has 24
sweets. Who has got less sweets and by how
many?

has got less sweets by .

c) The cost of a book is 95 rupees and the cost
of a pen is 60 rupees. Which one is more
expensive and by how much?

is more expensive by rupees.

d) Father is 35 years old and mother is 32
years old. Who is younger and by how many
years?

is younger by years.

e) The cost of a video game is 450 rupees and
the cost of a toy car is 275 rupees. Which
one is cheaper and by how much?

is cheaper by rupees.

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8Unit Multiplication and Division

Multiplication - How many times, how many altogether?

There are some pencils in a bundle.

Let’s take out one pencil 1 time, 2 times, 3
times, 4 times, 5 times, and so on.

1 time 1 pencil is 1 pencil. 1 time 1 = 1 × 1 = 1
2 times 1 pencil are 2 pencils. 2 times 1 = 2 × 1 = 2

3 times 1 pencil are 3 pencils. 3 times 1 = 3 × 1 = 3
4 times 1 pencil are 4 pencils. 4 times 1 = 4 × 1 = 4
5 times 1 pencil are 5 pencils. 5 times 1 = 5 × 1 = 5

Similarly,

6 times 1 pencil are 6 pencils. 6 × 1 = 6

7 times 1 pencil are 7 pencils. ×=

8 times 1 pencil are 8 pencils. ×= × is the sign of

9 times 1 pencil are 9 pencils. ×= multiplication.

10 times 1 pencil are 10 pencils. × = 2 × 4 means
Now, let’s recall the multiplication table of 1. 2 times 4!

1 one is 1 o 1 × 1 = 6 ones are 6 o 6 × 1 =
2 ones are 2 o 2 × 1 =
3 ones are 3 o 3 × 1 = 7 ones are 7 o 7 × 1 =
4 ones are 4 o 4 × 1 =
5 ones are 5 o 5 × 1 = 8 ones are 8 o 8 × 1 =

vedanta Excel in Mathematics - Book 2 9 ones are 9 o 9 × 1 =

10 ones are 10 o 10 × 1 =

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Multiplication - How many times, how many altogether?
Let’s play with the bundle of 2 pencils!

1 time 2 pencils are 2 pencils. 1×2=2

2 times 2 pencils are 4 pencils. 2×2=4

3 times 2 pencils are 6 pencils. 3×2=6

4 times 2 pencils are 8 pencils. 4×2=8

5 times 2 pencils are 10 pencils. 5 × 2 = 10

6 times 2 pencils are 12 pencils. 6 × 2 = 12

7 times 2 pencils are 14 pencils. 7 × 2 = 14

8 times 2 pencils are 16 pencils. 8 × 2 = 16

9 times 2 pencils are 18 pencils. 9 × 2 = 18

10 times 2 pencils are 20 pencils. 10 × 2 = 20

Now, let’s recall the multiplication table of 2.

1 two is 2 o 1 × 2 = 6 twos are 12 o 6 × 2 =

2 twos are 4 o 2 × 2 = 7 twos are 14 o 7 × 2 =

3 twos are 6 o 3 × 2 = 8 twos are 16 o 8 × 2 =

4 twos are 8 o 4 × 2 = 9 twos are 18 o 9 × 2 =

5 twos are 10 o 5 × 2 = 10 twos are 20 o 10 × 2 =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 119 vedanta Excel in Mathematics - Book 2

Multiplication - How many times, how many altogether?
Let’s play with the group of 3 beads!

1 time 3 beads are 3 beads. 1×3=3

2 times 3 beads are 6 beads. 2×3=6

3 times 3 beads are 9 beads. 3×3=9

4 times 3 beads are 12 beads. 4 × 3 = 12

5 times 3 beads are 15 beads. 5 × 3 = 15

6 times 3 beads are 18 beads. 6 × 3 = 18

7 times 3 beads are 21 beads. 7 × 3 = 21

8 times 3 beads are 24 beads. 8 × 3 = 24

9 times 3 beads are 27 beads. 9 × 3 = 27

10 times 3 beads are 30 beads. 10 × 3 = 30

Now, let’s recall the multiplication table of 3.

1 three is 3 o 1 × 3 = 6 threes are 18 o 6 × 3 =
2 threes are 6 o 2 × 3 = 7 threes are 21 o 7 × 3 =
3 threes are 9 o 3 × 3 = 8 threes are 24 o 8 × 3 =
4 threes are 12 o 4 × 3 = 9 threes are 27 o 9 × 3 =
5 threes are 15 o 5 × 3 = 10 threes are 30 o10 × 3 =

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Multiplication - How many times, how many altogether?
Let’s play with the group of 4 beads!

1 time 4 beads are 4 beads. 1×4=4

2 times 4 beads are 8 beads. 2×4=8

3 times 4 beads are 12 beads. 3 × 4 = 12

4 times 4 beads are 16 beads. 4 × 4 = 16

5 times 4 beads are 20 beads. 5 × 4 = 20

6 times 4 beads are 24 beads. 6 × 4 = 24

7 times 4 beads are 28 beads. 7 × 4 = 28

8 times 4 beads are 32 beads. 8 × 4 = 32

9 times 4 beads are 36 beads. 9 × 4 = 36

10 times 4 beads are 40 beads. 10 × 4 = 40

Now, let’s recall the multiplication table of 4.

1 four is 4 o 1 × 4 = 6 fours are 24 o 6 × 4 =
2 fours are 8 o 2 × 4 = 7 fours are 28 o 7 × 4 =
3 fours are 12 o 3 × 4 = 8 fours are 32 o 8 × 4 =
4 fours are 16 o 4 × 4 = 9 fours are 36 o 9 × 4 =
5 fours are 20 o 5 × 4 = 10 fours are 40 o 10 × 4 =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 121 vedanta Excel in Mathematics - Book 2

Multiplication - How many times, how many altogether?
Let’s play with the group of 5 beads!

1 time 5 beads are 5 beads. 1×5=5

2 times 5 beads are 10 beads. 2 × 5 = 10

3 times 5 beads are 15 beads. 3 × 5 = 15
4 times 5 beads are 20 beads. 4 × 5 = 20
5 times 5 beads are 25 beads. 5 × 5 = 25
6 times 5 beads are 30 beads. 6 × 5 = 30
7 times 5 beads are 35 beads. 7 × 5 = 35
8 times 5 beads are 40 beads. 8 × 5 = 40
9 times 5 beads are 45 beads. 9 × 5 = 45
10 times 5 beads are 50 beads. 10 × 5 = 50

Now, let’s recall the multiplication table of 5.

1 ive is 5 o 1 × 5 = 6 ives are 30 o 6 × 5 =
2 ives are 10 o 2 × 5 = 7 ives are 35 o 7 × 5 =
3 ives are 15 o 3 × 5 = 8 ives are 40 o 8 × 5 =
4 ives are 20 o 4 × 5 = 9 ives are 45 o 9 × 5 =
5 ives are 25 o 5 × 5 = 10 ives are 50 o 10 × 5 =

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Multiplication - How many times, how many altogether?

Multiplication Tables

1. Once again, let’s complete the multiplication tables from 2 to 5. Then, recall

the tables.

Table of 2 times Table of 3 times

2 ones are 2 o 2 × 1 = 3 ones are 3 o 3 × 1 =

2 twos are 4 o 2 × 2 = 3 twos are 6 o 3 × 2 =

2 threes are 6 o 2 × 3 = 3 threes are 9 o 3 × 3 =

2 fours are 8 o 2 × 4 = 3 fours are 12 o 3 × 4 =

2 ives are 10 o 2 × 5 = 3 ives are 15 o 3 × 5 =

2 sixes are 12 o 2 × 6 = 3 sixes are 18 o 3 × 6 =

2 sevens are 14 o 2 × 7 = 3 sevens are 21 o 3 × 7 =

2 eights are 16 o 2 × 8 = 3 eights are 24 o 3 × 8 =

2 nines are 18 o 2 × 9 = 3 nines are 27 o 3 × 9 =

2 tens are 20 o 2 × 10 = 3 tens are 30 o 3 × 10 =

Table of 4 times Table of 5 times

4 ones are 4 o 4 × 1 = 5 ones are 5 o 5 × 1 =

4 twos are 8 o 4 × 2 = 5 twos are 10 o 5 × 2 =

4 threes are 12 o 4 × 3 = 5 threes are 15 o 5 × 3 =

4 fours are 16 o 4 × 4 = 5 fours are 20 o 5 × 4 =

4 ives are 20 o 4 × 5 = 5 ives are 25 o 5 × 5 =

4 sixes are 24 o 4 × 6 = 5 sixes are 30 o 5 × 6 =

4 sevens are 28 o 4 × 7 = 5 sevens are 35 o 5 × 7 =

4 eights are 32 o 4 × 8 = 5 eights are 40 o 5 × 8 =

4 nines are 36 o 4 × 9 = 5 nines are 45 o 5 × 9 =

4 tens are 40 o 4 × 10 = 5 tens are 50 o 5 × 10 =

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Multiplication - How many times, how many altogether?
2. Let’s count the number of dots in each box and the number of boxes.

Then multiply and find the total number of dots.
a)

3 times 2 dots o 3 × 2 =

b)
times dots = × =

c)
times dots = × =

d)
times dots = × =

e)
times dots = × =

f)
times dots = × =

g)
times dots = × =

3. Let's recall the multiplication tables and multiply as quickly as possible.

a) 2 × 4 = b) 3 × 6 = c) 5 × 4 = d) 1 × 3 =

e) 3 × 2 = f) 4 × 7 = g) 2 × 9 = h) 5 × 8 =

i) 4 × 9 = j) 5 × 3 = k) 3 × 7 = l) 2 × 7 =

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

vedanta Excel in Mathematics - Book 2 124 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Multiplication - How many times, how many altogether?
Multiplier, Multiplicand and Product

3 is the multiplier. We got it! In 2 × 5 = 10
2 is multiplier, 5 is
In 3 × 7 = 21 7 is the multiplicand. multiplicand and
10 is the product.
21 is the product.

1. Let’s tell and write the multiplier, multiplicand and the product.

a) In 2 × 3 = 6, multiplier is , multiplicand is product is

b) In 4 × 2 = 8, multiplier is , multiplicand is product is

c) In 5 × 7 = 35, multiplier is , multiplicand is product is

d) In 3 × 6 = 18, multiplier is , multiplicand is product is

e) In 2 × 8 = 16, multiplier is , multiplicand is product is

f) In 1 × 4 = 4, multiplier is , multiplicand is product is

g) In 4 × 1 = 4, multiplier is , multiplicand is product is

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

a) × = 6 b) × = 12 c) × = 20

d) × = 24 e) × = 18 f) × = 30

3. Again, let’s write your multiplier and multiplicand. Then find the product.

a) × = b) × = c) × =

d) × = e) ×= f) × =
125
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Multiplication - How many times, how many altogether?

4. Now, let’s complete the multiplication tables from 6 to 9. Then, recall the

tables.

Table of 6 times Table of 7 times

6 ones are 6 o 6 × 1 = 7 ones are 7 o 7 × 1 =

6 twos are 12 o 6 × 2 = 7 twos are 14 o 7 × 2 =

6 threes are 18 o 6 × 3 = 7 threes are 21 o 7 × 3 =

6 fours are 24 o 6 × 4 = 7 fours are 28 o 7 × 4 =

6 ives are 30 o 6 × 5 = 7 ives are 35 o 7 × 5 =

6 sixes are 36 o 6 × 6 = 7 sixes are 42 o 7 × 6 =

6 sevens are 42 o 6 × 7 = 7 sevens are 49 o 7 × 7 =

6 eights are 48 o 6 × 8 = 7 eights are 56 o 7 × 8 =

6 nines are 56 o 6 × 9 = 7 nines are 63 o 7 × 9 =

6 tens are 60 o 6 × 10 = 7 tens are 70 o 7 × 10 =

Table of 8 times Table of 9 times
8 ones are 8 o 8 × 1 = 9 ones are 9 o 9 × 1 =

8 twos are 16 o 8 × 2 = 9 twos are 18 o 9 × 2 =

8 threes are 24 o 8 × 3 = 9 threes are 27 o 9 × 3 =

8 fours are 32 o 8 × 4 = 9 fours are 36 o 9 × 4 =

8 ives are 40 o 8 × 5 = 9 ives are 45 o 9 × 5 =

8 sixes are 48 o 8 × 6 = 9 sixes are 54 o 9 × 6 =

8 sevens are 56 o 8 × 7 = 9 sevens are 63 o 9 × 7 =

8 eights are 64 o 8 × 8 = 9 eights are 72 o 9 × 8 =

8 nines are 72 o 8 × 9 = 9 nines are 81 o 9 × 9 =

8 tens are 80 o 8 × 10 = 9 tens are 90 o 9 × 10 =

vedanta Excel in Mathematics - Book 2 126 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Multiplication - How many times, how many altogether?

Fun of multiplication with 0 (zero)
Let’s learn how the multiplication of any number with 0 is always 0.

How many pencils are there in the box?
There is no pencil in the box.
It means there is 0 (zero) number of pencil in the box.
So, 1 time 0 = 1 × 0 = 0

Again, how many pencils are there in two boxes?
There is 0 number of pencil in each box.
So, 2 times 0 = 2 × 0 = 0

1. Now, let's find the product of any number and zero (0).

a)3 × 0 = b) 4 × 0 = c) 5 × 0 = d) 6 × 0 =
h) 10 × 0 =
e) 7 × 0 = f) 8 × 0 = g) 9 × 0 =

2. Let’s recall the multiplication table of 10.

10 ones are 10 o 10 × 1 =
10 twos are 20 o 10 × 2 =
10 threes are 30 o 10 × 3 =
10 fours are 40 o 10 × 4 =
10 ives are 50 o 10 × 5 =
10 sixes are 60 o 10 × 6 =
10 sevens are 70 o 10 × 7 =
10 eights are 80 o 10 × 8 =
10 nines are 90 o 10 × 9 =
10 tens are 100 o 10 × 10 =

3. Let’s multiply by 10 and find the product.

a) 10 × 3 = b) 10 × 6 = c) 10 × 1 = d) 10 × 4 =
e) 10 × 5 = f) 10 × 7 = g) 10 × 2 = h) 10 × 9 =
i) 10 × 10 = j) 10 × 8 =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 127 vedanta Excel in Mathematics - Book 2

Multiplication - How many times, how many altogether?

4. Let’s count how many times and how many dots are there in the boxes.
Multiply and find the total dots.

a) 3 × 6 = 18

b) × =

c) × =

d) × =

e) × =
5. Now, let’s draw as many dots in each box to match the sums.

a) 2 × 3 = dots.

b) 3 × 4 = dots.

c) 4 × 3 = dots.

d) 5 × 2 = dots.

e) 3 × 3 = dots.

6. Let’s write the correct numbers in the blanks. Then, tell and write the
products as quickly as possible.

a) 4 times 6 = 4 × 6 = e) 10 times 3 = × =

b) 2 times 9 = × = f) 9 times 1 = × =

c) 7 times 5 = × = g) 0 times 7 = × =

d) 8 times 8 = × = h) 5 times 0 = × =

vedanta Excel in Mathematics - Book 2 128 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Multiplication - How many times, how many altogether?
7. Let’s find the product as quickly as possible.

a) 6 × 3 = b) 7 × 5 = c) 8 × 2 = d) 9 × 4 =

e) 8 × 7 = f) 6 × 9 = g) 9 × 8 = h) 7 × 6 =

8. Let’s find the product as quickly as possible.

a) 9 b) 6 c) 8 d) 7 e) 5 f) 10 g) 10
×5 ×6 ×5 ×3 ×6 ×4 ×9

45

h) 8 i) 10 j) 9 k) 6 l) 10 m) 7 n) 8
×3 ×8 × 10 ×9 ×8
×7 ×2

Now, it’s your time!
9. Let’s write your multiplier and find the product.

a) × 2 = b) × 3 = c) ×4=

d) × 5 = e) × 6 = f) × 7 =

g) × 8 = h) × 9 = i) × 10 =

10. Let’s draw your own number of dots. Then complete the multiplication
and find the total number of dots.

a) times dots = dots.

b) times dots = dots.

c) times dots = dots.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 129 vedanta Excel in Mathematics - Book 2

Multiplication - How many times, how many altogether?

Did you understand?

2 × 3 means 2 times 3 things = 6 things.

3 × 2 means 3 times 2 things = 6 things.

So, we can write 2 × 3 = 3 × 2 only for the same product.
1. Now, let’s find the products as quickly as possible.

2×3=3×2 = 3×4=4×3 =

2×4=4×2 = 3×5=5×3 =

2×5=5×2 = 3×6=6×3 =

2×6=6×2 = 3×7=7×3 =
2×7=7×2 = 3×8=8×3 =
2×8=8×2 = 3×9=9×3 =
2×9=9×2 = 3 × 10 = 10 × 3 =
2 × 10 = 10 × 2 =

4×5=5×4 = 5×6=6×5 =
4×6=6×4 = 5×7=7×5 =
4×7=7×4 = 5×8=8×5 =
4×8=8×4 = 5×9=9×5 =
4×9=9×4 = 5 × 10 = 10 × 5 =
4 × 10 = 10 × 4 =
130 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur
vedanta Excel in Mathematics - Book 2

Multiplication - How many times, how many altogether?
2. Let’s write the missing multiplier or multiplicand to match the product.

a) b) c) d)

×1=9 4 × = 32 × 8 = 72 10 × = 60

e) f) g) h)
× 4 = 12 6×
= 12 ××55==2255 2 × = 14

i) = 21 j) k) l) × 10 = 50
7× × 9 = 36 8 × × 5==8205

3. Let’s draw a circle around all the three numbers in a line that make up
multiplication sums for the given products.

10 15 2 4 8 Products 46 24 2 9 Products
are: 31 are:
76
2 2 5 4 8 8, 10, 21 9 9 5 6 24, 45,
10 8
15, 56, 21, 6,

10 1 5 3 7 20, 27, 45 3 8 40, 12,

12, 5 80, 6

5 4 20 12 56 275

6 3 9 27 5 80 12 40

4. Let’s fill in the missing numbers to complete the sums.

3× =6 × 5 = 10

××× ×××

×= ×=

=== ===

3× = 12 8× = 40

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 131 vedanta Excel in Mathematics - Book 2

Multiplication - How many times, how many altogether?

1. Now, let’s play the game of addition and multiplication!

a) 2 is added 2 times. It's interesting!
+ 2+2=2×2= 2 + 2 means 2 × 2
2 + 2 + 2 means 3 × 2

b) 2 is added 3 times.
++ 2+2+2=3×2=

c) + + + 3 is added 4 times. = We understood!
3+3+3+3= × Multiplication is a
repeated addition!
d) 4 is added 5 times.
++++ ++++= =

×

e) 5 is added 4 times.
+++ ++ + =

× =

2. Let’s write the correct number in the blank spaces.
a) 2 + 2 + 2 + 2 = × =

b) 3 + 3 + 3 + 3 + 3 = × =

c) 7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 =× =

d) + + + + =5×4 =

e) + + + + + + = 7 × 5 =

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

a) + + =×=

b) + + + = × =

c) + + + + =× =
132
vedanta Excel in Mathematics - Book 2 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Multiplication - How many times, how many altogether?

Let’s use multiplication in real life!
1. Read the problems carefully and answer them as quickly as possible.

a) 2 times 5 kg of fruits = 2 × 5 =10 kg of fruits

b) 3 times the groups of 7 girls = × = girls

c) 4 times 10 rupees = × = rupees

d) 8 times 6 packets of pencils = × = packets

e) 6 times the packets of 9 sweets = × = sweets

f) 10 times the baskets of 3 kg vegetables = × = kg

g) 7 times 7 bags of marbles = × = bags of marbles

h) 5 times the bag of 8 marbles = × = marbles

i) 9 times 3 rupees cost of a sweet = ×= rupees

2. Let’s tell and write how many times, how many thing.

a) 3 × 6 packets = times packets = packets

b) 7 × 10 rupees = times rupees = rupees

c) 4 × 8 kg of fruits = times kg of fruits = kg of fruits

d) 10 × 9 marbles = times marbles = marbles

e) 6 × the packets of 5 pencils = times pencils = pencils

f) 5 × the baskets of 4 apples = times apples = apples
g) 8 × the groups of 2 children= times children = children

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 133 vedanta Excel in Mathematics - Book 2

Multiplication - How many times, how many altogether?
Let’s use multiplication in real life.

3. Read the problems carefully and answer them as quickly as possible.

a) There are 5 ingers in 1 hand. How many ingers are there in 2
hands?

1 hand has 5 ingers.

2 hands have 2 times 5 ingers = 2 × 5 = ingers.

b) There are 4 children in a group. How many children are there
in 7 groups?

1 group has children.

7 groups have times children = × = children.

c) The cost of a pencil is 8 rupees. What is the cost of 10 pencils?
1 pencil costs rupees.
10 pencils cost times rupees = × = rupees.
d) There are 9 sweets in a packet. How many sweets are there in

3 packets?
1 packet has sweets.
3 packets have times sweets = × = sweets.

e) You spend 6 hours everyday in your school. How many hours
do you spend in 5 days?

In 1 day I spend hours.

In 5 days I spend times hours = × = hours.

vedanta Excel in Mathematics - Book 2 134 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Multiplication - How many times, how many altogether?
It's your shopping time!

Let’s read the price of each item carefully.

9 rupees 8 rupees 10 rupees 5 rupees 7 rupees

Now, let’s find how many rupees you need to pay
a) When you buy 2 kites

You pay = ×= rupees.

b) When you buy 3 balloons

You pay = ×= rupees.

c) When you buy 10 biscuits

You pay = ×= rupees.

d) When you buy 8 sweets

You pay = ×= rupees.

e) When you buy 9 crayons

You pay = ×= rupees.

f) When you buy 5 biscuits

You pay = ×= rupees.

g) When you buy 6 crayons

You pay = ×= rupees.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 135 vedanta Excel in Mathematics - Book 2

Division - Sharing

Let’s read the story of division!

My teacher divides 6 sweets equally
between my 3 friends.
Each friend shares 2 sweets.
6 divided by 3 = 6 ÷ 3.
And each gets 2 sweets = 6 ÷ 3 = 2.

I divide 12 apples equally between my 4 friends.
Each friend shares 3 apples.
12 divided by 4 = 12 ÷ 4.
And each gets 3 apples = 12 ÷ 4 = 3.

When we divide things among us, we are sharing the things equally.

1. Now, let’s write the correct numbers in the blank spaces.

a) I divide 6 pencils equally between 2 friends = 6 ÷ 2

Each friends shares 3 pencils = ÷ =

b) Let's divides 8 cookies equally between 4 kids= ÷

Each kid shares 2 cookies = ÷=

c)

You divide 9 cherries equally between 3 friends = ÷

Each friend shares 3 cherries = ÷ =

d) Teacher divide 10 sweets equally between 5 friend = ÷

Each friend shares 2 sweets = ÷ =

vedanta Excel in Mathematics - Book 2 136 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Division - Sharing

Drawing Time!
2. Let’s draw as many equal dots in each box and complete the division.

a) Divide 6 dots equally into 2 groups. These are 6 dots.

6÷2=3 These are also 6
dots.
2 dots 4 dots 6 dots

b) Divide 6 dots equally into 3 groups.

÷=

c) Divide 8 dots equally into 2 groups. These are 8 dots.
÷=
These are also 8
d) Divide 8 dots equally into 4 groups. dots.
÷=

e) Divide 9 dots equally into 3 groups. These are 9 dots.
÷=

f) Divide 12 dots equally into 4 groups. These are 12 dots.
÷=

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 137 vedanta Excel in Mathematics - Book 2

Division - Sharing

Drawing Time!

3. Let’s draw circles and group the pictures to show each division. Then tell
and write the share in each group.

a) 4 ÷ 2 = 2 b) 6 ÷ 2 = 3 c) 6 ÷ 3 = 2

or or or

d) 8 ÷ 2 = e) 8 ÷ 4 = f) 9 ÷ 3 =

g) 10 ÷ 2 = h) 10 ÷ 5 = i) 12 ÷ 2 =

j) 12 ÷ 6 = k) 12 ÷ 3 = l) 12 ÷ 4 =

m) 14 ÷ 2 = n) 15 ÷ 3 = o) 15 ÷ 5 =

vedanta Excel in Mathematics - Book 2 138 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Division - Sharing

Fact of multiplication and division
Let’s investigate the fact, how multiplication and division go together.

It is 2 × 3 = 6 It is 6 ÷ 2 = 3 Understood!
2 times 3 dots. 3 × 4 = 12
12 ÷ 3 = 4

6 dots are divided into 2 groups.

It is 3 × 2 = 6 It is 6 ÷ 3 = 2

3 times 2 dots. 6 dots are divided into 3 groups.

1. Let’s tell and write the correct numbers in the blank spaces.

a) 2 × 4 = 8 and 8 ÷ 2 = We got it!
2×4=8

8 ÷ 2 = 4 and

8÷4=2

b)

4 × = and ÷ =

c)
× = and ÷ =

d)
× = and ÷ =

Similarly,
3 × 4 = 12
e) 12 ÷ 3 = 4 and

× = and ÷ = 12 ÷ 4 = 3

f)
× = and ÷ =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 139 vedanta Excel in Mathematics - Book 2

Division - Sharing

Fact of multiplication and division
2. Let’s say and write the answer as quickly as possible.

a) 2 × 6 = So, 12 ÷ 2 = and 12 ÷ 6 =

b) 2 × 9 = So, 18 ÷ 2 = and 18 ÷ 9 =

c) 3 × 5 = So, 15 ÷ 3 = and 15 ÷ 5 =

d) 3 × 7 = So, 21 ÷ 3 = and 21 ÷ 7 =

e) 4 × 4 = So, 16 ÷ 4 = What a beauty of maths!
f) 5 × 5 = So, 25 ÷ 5 = 5 × 7 = 35.
g) 6 × 6 = So, 36 ÷ 6 = So, 35 ÷ 5 = 7 and
35 ÷ 7 = 5

h) 8 × 4 = So, 32 ÷ 8 = and 32 ÷ 4 =

i) 7 × 6 = So, 42 ÷ 7 = and 42 ÷ 6 =

j) 9 × 5 = So, 45 ÷ 9 = and 45 ÷ 5 =

k) 10 × 9 = So, 90 ÷ 10 = and 90 ÷ 9 =

It’s your time!
3. Now, let’s write your numbers and have a fun of multiplication and division.

a) × = So, ÷ =

b) × = So, ÷ =

c) × = So, ÷ =

d) × = 140 So, ÷ =

vedanta Excel in Mathematics - Book 2 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Division - Sharing

Game time!

How many minutes will it take you to go from the waterfall to the village? Can
you do it in less than 5 minutes? Let’s practise until you can do the whole thing
in less than 3 minutes.

5×3= 32 ÷ 8 = 32 ÷ 4 =
15 ÷ 5 = 8×4= 10 × 7 =
70 ÷ 10 =
15 ÷ 3 = 49 ÷ 7 = 70 ÷ 7 =
4×6= 7×7=

24 × 4 =

24 ÷ 6 =

5 × 10 =

3×7= 50 ÷ 5 =
21 ÷ 3 = 50 ÷ 10 =

21 ÷ 7 =

6×5= 30 ÷ 6 =

30 ÷ 5 = 100 ÷ 10 =
10 × 10 =

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 141 vedanta Excel in Mathematics - Book 2

Division - Sharing

1. Let’s recall the tables of 1, 2, 3, 4, 5,...10. Then, say and write the answer
as quickly as possible.

a) Recall the table of 2 to get 10 10 ÷ 2 =

b) Recall the table of 3 to get 12 12 ÷ 3 = Interesting!
c) Recall the table of 4 to get 16 16 ÷ 4 = 2 ones are 2, 2 twos are 4
2 threes are 6, 2 fours are 8
2 fives are 10
So, 10 ÷ 2 = 5

d) Recall the table of 5 to get 30 30 ÷ 5 =

e) Recall the table of 6 to get 42 42 ÷ 6 =

f) Recall the table of 7 to get 63 63 ÷ 7 =

g) Recall the table of 8 to get 72 72 ÷ 8 = It's easier!
h) Recall the table of 9 to get 54 54 ÷ 9 = 3 ones are 3, 3 twos are 6
i) Recall the table of 10 to get 80 80 ÷ 10 = 3 threes are 9,
3 fours are 12
So, 12 ÷ 3 = 4

2. Let’s divide. Then say and write the answer as quickly as possible.

a) 14 ÷ 2 = b) 15 ÷ 3 = c) 24 ÷ 4 = d) 35 ÷ 5 =

e) 48 ÷ 6 = f) 28 ÷ 7 = g) 40 ÷ 8 = h) 36 ÷ 9 =

i) 60 ÷ 10 = j) 20 ÷ 2 = k) 90 ÷ 9 = l) 56 ÷ 8 =

m) 49 ÷ 7 = n) 36 ÷ 6 = o) 45 ÷ 5 = p) 32 ÷ 4 =

q) 27 ÷ 3 = r) 64 ÷ 8 = s) 54 ÷ 6 = t) 63 ÷7 =

u) 36 ÷ 4 = v) 40 ÷ 5 = w) 21 ÷ 3 = x) 100 ÷ 10 =

vedanta Excel in Mathematics - Book 2 142 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Division - Sharing

Dividend, Divisor and Quotient

In 18 ÷ 2 = 9 18 is the Dividend. I understood!
2 is the Divisor. In 12 ÷ 3 = 4
Dividend Divisor Quotient 9 is the Quotient. 12 is dividend,
3 is divisor and
4 is quotient!!

1. Let’s tell and write the dividend, divisor and the quotient.

a) In 8 ÷ 4 = 2, dividend is divisor is quotient is

b) In 14 ÷ 2 = 7, dividend is divisor is quotient is

c) In 20 ÷ 5 = 4, dividend is divisor is quotient is

d) In 36 ÷ 6 = 6, dividend is divisor is quotient is

e) In 56 ÷ 7 = 8, dividend is divisor is quotient is

f) In 45 ÷ 9 = 5, dividend is divisor is quotient is

2. Now, it’s your time! Let’s write your dividend and divisor to get the given
quotient.

÷ =2 ÷ =3 ÷ =4

÷ =5 ÷ =6 ÷ =7

3. Again, let’s write your dividend and divisor. Then find the quotient.

÷= ÷= ÷=

÷= ÷= ÷=

÷= ÷= ÷=

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 143 vedanta Excel in Mathematics - Book 2

Division - Sharing

Let’s use division in real life!

1. Read the problems carefully and answer them as quickly as possible.
a) You divide 15 sweets equally between your 3 friends. How many sweets
does each friend share?

Each friend shares ÷ = sweets.

b) Mother divides 20 cherries equally between 4 children. How many
cherries does each child share?

Each child shares ÷ = cherries.

c) Teacher divides 28 students equally into 7 groups. How many students
are there in each group?

There are ÷ = students in each group.

d) A shopkeeper divides 36 apples equally and puts into 6 baskets. How
many apples are there in each basket?

There are ÷ = apples in each basket.

e) The cost of 3 pencils is 18 rupees. What is the cost of 1 pencil?

The cost of 1 pencil is 18 ÷ 3 = rupees.

f) The cost of 6 exercise books is 60 rupees. What is the cost of 1 exercise
book?

The cost of 1 exercise book is ÷ = rupees.

g) The cost of 5 sweets is 25 rupees. What is the cost of 1 sweet?

The cost of 1 sweet is ÷ = rupees.

vedanta Excel in Mathematics - Book 2 144 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Division - Sharing

Mixed Problems

1. Let’s read the problems carefully. Multiply or divide and get the answer as
quickly as possible.

a) Teacher gives 4 sweets to each of 3 students. How many sweets does the
teacher divide?

Teacher divides 3 × 4 = sweets.

b) Teacher divides 12 sweets equally between 3 students. How many sweets
does each student get?

Each student get ÷ = sweets.

c) There are 5 students in 1 group. How many students are there in 6
groups?

There are × = students.

d) 30 students are equally divided into 6 groups. How many students are
there in each group?

There are ÷ = students in each group.

e) The cost of 1 pencil is 10 rupees. What is the cost of 7 pencils.

The cost of 7 pencil is × = rupees.

f) The cost of 7 pencils is 70 rupees. What is the cost of 1 pencil?

The cost of 1 pencil is ÷ = rupees.

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 145 vedanta Excel in Mathematics - Book 2

More Multiplication

Fun of multiplication with 10, 20, 30,... and so on!

2 times 10 3 times 20
2 × 10 = 20 3 × 20 = 60

2×1 3×2

1. Let’s say and write the product as quickly as possible.

× × ×

a) 10 × 1 = 10 b) 10 × 2 = 20 c) 10 × 3 = 30

× e) 20 × 3 = f) 20 × 4 =

d) 20 × 2 = 40

g) 30 × 3 = h) 30 × 6 = i) 30 × 8 =

j) 40 × 2 = k) 40 × 3 = l) 40 × 5 =

m) 50 × 1 = n) 50 × 3 = o) 50 × 7 =

p) 60 × 3 = q) 60 × 4 = r) 60 × 8 =

s) 70 × 4 = t) 70 × 5 = u) 70 × 9 =

2. Let’s say and write the product as quickly as possible.

a) 8 0 b) 8 0 c) 8 0 d) 8 0 e) 8 0 f) 8 0
×2 ×3 ×4
×6 ×8 ×5
160

g) 9 0 h) 9 0 i) 9 0 j) 9 0 k) 9 0 l) 9 0
×1 ×2 ×3 ×4
×7 ×5

vedanta Excel in Mathematics - Book 2 146 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

More Multiplication

Multiplication with 2-digit numbers

Multiply 11 by 3.

1 ten 3 tens

1 1 o 1 ten + 1 one

×3 ×3

3 3 o 3 tens + 3 ones 1 one × 3 = 3 ones

Multiply 23 by 2. 2 tens 4 tens

2 3 o 2 tens + 3 ones

×2 ×2 6 ones

4 6 o 4 tens + 6 ones 3 ones × 2 =

1. Now, let’s multiply these 2-digit numbers.

a) 1 2 o 1 ten + 2 ones b) 1 2 o 1 ten + 2 ones

×2 ×2 ×3 ×3

o tens + ones o tens + ones

c) 2 1 o 2 tens + 1 one d) 2 3 o 2 tens + 3 ones

×2 ×2 ×3 ×3

o tens + ones o tens + ones

e) 3 3 o 3 tens + 3 ones f) 4 2 o 4 tens + 2 ones

×3 ×3 ×2 ×2

o tens + ones o tens + ones

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 147 vedanta Excel in Mathematics - Book 2

More Multiplication

2. Let’s multiply these 2-digit numbers.

a) 1 1 b) 1 1 c) 1 1 d) 1 1 e) 1 1 f) 1 1
×2 ×3 ×4 ×5 ×6 ×7

g) 1 1 h) 1 1 i) 1 2 j) 1 2 k) 1 2 l) 1 2
×8 ×9 ×1 ×2 ×3 ×4

m)1 3 n) 1 3 o) 1 3 p) 1 4 q) 1 4 r) 1 5
×1 ×2 ×3 ×1 ×2 ×1

3. Let’s multiply these 2-digit numbers.

a) 2 1 b) 2 1 c) 2 1 d) 2 1 e) 2 2 f) 2 2
×1 ×2 ×3 ×4 ×1 ×2

g) 2 2 h) 2 2 i) 2 3 j) 2 4 k) 3 1 l) 3 1
×3 ×4 ×2 ×2 ×1 ×2

m) 3 1 n) 3 2 o) 3 3 p) 4 2 q) 4 3 r) 4 4
×3 ×2 ×3 ×2 ×2 ×2

vedanta Excel in Mathematics - Book 2 148 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

More Multiplication

Multiplication with carry over

Let's multiply 14 by 3. I got it!

1 1 ten is carried over 1

1 4 o 1 ten + 4 ones 1 ten + 4 ones 13
×3 ×5
×3 ×3 65
4 tens + 2 ones
4 2 3 tens + 12 ones e) 1 2
×9
1. Let’s multiply with carrying tens over tens place.

a) 1 2 b) 1 2 c) 1 2 d) 1 2
×5 ×6 ×7 ×8

f) 1 3 g) 1 3 h) 2 4 i) 3 5 j) 1 4
×5 ×6 ×3 ×2 ×4

k) 1 5 l) 1 6 m) 2 6 n) 4 7 o) 3 4
×3 ×3 ×3 ×2 ×2

p) 2 3 q) 2 4 r) 2 5 s) 2 6 t) 2 6
×4 ×4 ×3 ×2 ×3

u) 2 7 v) 3 6 w) 3 8 x) 4 5 y) 4 8
×2 ×2 ×2 ×2 ×2

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 149 vedanta Excel in Mathematics - Book 2

More Multiplication

Let’s use multiplication in real life!
2. Read the problems carefully and answer them as quickly as possible.

a) There are 12 pencils in a packet. How many 12
pencils are there in 4 packets?
x4
There are pencils. 48

b) The cost of a packet of noodles is 32 rupees. Find
the cost of 3 packets of noodles.

The cost of 3 packets of noodles is rupees.

c) There are 11 players in a football team. How many
players are there in 7 football teams?

There are players.

d) 1 kg of vegetable costs 40 rupees. How much does
mother pay to buy 4 kg of vegetable?

Mother pays rupees.

e) A jar can hold 4 litres of oil. How many litres of oil
do 23 jars hold?

23 jars hold litres of oil.

f) Father pays 25 rupees to buy a pen. How many
rupees does he pay to buy 3 pens?

He pays rupees.

vedanta Excel in Mathematics - Book 2 150 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur