Math 1

See the pictograph and complete the given box.

7

Number of instruments 6

5

4

3

2

1

Guitars Tabalas Sitars Flutes

Name of the instruments

How many guitars are there ?
How many sitars are there?
How many tabalas are there?
How many flutes are there?

Mathematics 1 197

Study the Pictograph
8

7

Number of utensils 6

5

4

3

2

1

Glass Cups Plates Spoons Mugs

Name of the utensils

How many glasses are there ?

How many cups are there?

How many plates are there?

How many spoons are there?

How many mugs are there? Mathematics 1

198

Observe the given table and draw the
Pictograph as given in the example.

Name Ball Bat Ring Book

Figure

Number 5 6 7 4
of items

7 Number of items
6
5 Bats Rings Books
4 199
3 Name of items
2
1

Balls

Mathematics 1

Observe the given table and draw the
Pictograph as given in the example.

Name Pear Apple Banana Orange

Figure

Number 5 6 7 4
of items

7 Number of items
6
5 Apples Bananas Oranges
4
3 Name of items Mathematics 1
2
1

Pears
200

9Unit

Additional Chapter

Identifying, Addition, Multiplication
and Division.

Addition of 3 digit numbers
Able to use addition to find
multiplication
Able to use abacus for multiplication
Able to multiply the one digit and two
digit numbers

Teaching Materials

Different objects and their numbers
Numbers in row and column
Chart paper

Mathematics 1 201

Place Value for 3 Digit Numbers
on the Abacus

See, feel and learn.
Can you tell the
number given
in abacus.

Hundred Tens Ones
Hundreds Tens Ones

3 45
There are 3 hundreds, 4 tens and 5 ones.
= 3 × 100 + 4 × 10 + 5 × 1
= 300 + 40 + 5
= 345

I See,
The number having 3
hundreds, 4 tens and 5 ones.

202 Mathematics 1

Count and write.

Hundreds Tens Ones

Hundreds Tens Ones The number is

Hundreds Tens Ones

Hundreds Tens Ones The number is

Hundreds Tens Ones

Hundreds Tens Ones The number is

Hundreds Tens Ones

Hundreds Tens Ones The number is

Mathematics 1 203

Show the given number on the abacus. 246
143 325

Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones

456 678 567

Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones

Fill in the boxes.

278 = Hundreds, Tens and ones
436 = Hundreds, Tens and ones
318 = Hundreds, Tens and ones
596 = Hundreds, Tens and ones
732 = Hundreds, Tens and ones

204 Mathematics 1

Addition of 3 Digit Numbers
with Carrying.

Let's see the number:
5 tens + 7 tens = 12 tens
= 1 hundred + 2 tens
8 tens + 15 tens = 23 tens
= 2 hundreds + 3 tens
Remember, 1 hundred = 10 tens
= 100 ones

Oh! I understand, 12 tens is obtained
after adding where 2 is in tens place

and 1 have to be added by taking
carrying, and have to be added with

hundred. Isn't it?

Yes, you are absolutely right. So, you can
add the 3 digit numbers too.

Take one example : 11
3 Hundreds 4 Tens 5 Ones 3 4 5
9 Ones + 2 7 9
+ 2 Hundreds 7 Tens 14 Ones 6 2 4

= 5 Hundreds 11 Tens

= 5 Hundreds 12 Tens 4 Ones
= 6 Hundreds 2 Tens 4 Ones
= 624

Mathematics 1 205

Add the followings. Hundreds Tens Ones

Hundreds Tens Ones

7 95 4 87
+1 56 +2 46

Hundreds Tens Ones Hundreds Tens Ones

5 69 2 49
+3 76 +5 78

Hundreds Tens Ones Hundreds Tens Ones

4 68 3 97
+2 66 +3 46

Hundreds Tens Ones Hundreds Tens Ones

1 79 3 28
+4 21 +3 92

206 Mathematics 1

See, feel and learn.

Activities

I can break down each
number into tens and
ones to show addition.

25

20 + 5 = 25

Break down each number into tens and ones, and
add.

75 35

70 + 5 = 75 30 + 5 = 35

78 63

+ = +=

Mathematics 1 207

34 29
+= +=

47 = 54
+ = +=
11 = 30
+ = +=
19
23 +=
+ 67
31 +=
+
Mathematics 1
208

44 96
+= +=

84 51
+= +=

17 54
+= +=

19 + 1 = 60 + 3 = 10 + 2 = 70 + 9 = 209
10 + 5 = 30 + 6 = 50 + 6 = 80 + 8 =
20 + 5 = 50 + 4 = 12 + 5 = 35 + 4 =
40 + 7 = 73 + 7 = 82 + 5 = 92 + 8 =

Mathematics 1

Multiplication

SONG

Division of Two of Two
Share of One will be One

Division of Four of Two
Share of One will be Two

Division of Six of Two
Share of One will be Three

Division of Eight of Two
Share of One will be Four

Division of Ten of Two
Share of One will be Five

What is the name of This Game?
It is the Divide and Multiplicaiton.

210 Mathematics 1

See, feel and learn.

1 +1 = 2 1 is repeatedly added 2 times.
We write, 1 + 1 = 2
(i.e. 1 × 2 = 2)

Oh, I understand multiplication is
repeated addition of same number.

2 is repeatedly added 2 times.
We write 2 + 2 = 4

Symbol of multiplication.
2×2=4

+=

2 is repeatedly added 3 times. 211
We write, 2 + 2 + 2 = 6
(i.e. 2 × 3 = 6)

Mathematics 1

Complete the boxes below.

1 + 1 + 1 =3
1× 3 = 3

+=
×=

++=
×=

+ +=
×=

212 Mathematics 1

+++ =
×=

+ + +=
×=

+ + +=
×=

+ + +=
× =

Mathematics 1 213

2×1=2 2
×1

2

2×2= 2
×2

2×3= 2
×3

2×4= 2
×4

2×5= 2
×5

214 Mathematics 1

2×6= 2
×6

2×7= 2
×7

2×8= 2
×8

2×9= 2
×9

2 × 10 = 2
× 10

Mathematics 1 215

3×1= 3
×1

3×2= 3
×2

3×3= 3
×3

3×4= 3
×4

3×5= 3
×5

216 Mathematics 1

3×6= 3
×6

3×7= 3
×7

3×8= 3
×8

3×9= 3
×9

3 × 10 = 3
× 10

Mathematics 1 217

Complete the followings.

3+3= 6
3+3+3= 9
3+3+3+3=
3+3+3+3+3=
3+3+3+3+3+3=
3+3+3+3+3+3+3=
3+3+3+3+3+3+3+3=
3+3+3+3+3+3+3+3+3=
3+3+3+3+3+3+3+3+3+3=

3 × 2 = 4 × 2 =
3 × 3 = 3 × 3 =
3 × 4 = 4 × 4 =
3 × 5 = 4 × 5 =
3 × 6 = 4 × 6 =
3 × 7 = 4 × 7 =
3 × 8 = 4 × 8 =
3 × 9 = 4 × 9 =
3 × 10 = 4 × 10 =

218 Mathematics 1

Multiply 4
×3
332
×2 ×3 ×3 4
×3
658
×2 ×3 ×2 9
×2
576
×2 ×3 ×3 3
×2
724
×9 ×6 ×2 2
×9
33 2
×6 ×9 ×8 219

Mathematics 1

Match the following, and write the product in the
boxes.

5×3 10 × 3

6×3 2×2

2×3 2×6

3 × 10 3×6

2×7 3×2

2×2 5×3

3×2 4×3

6×2 5×2

3×4 7×2

2×5 9×3

9×2 9×2

220 Mathematics 1

Multiplication of the numbers by 10, 100 and 1000.

Let's multiply the numbers
by 10, 100 and 1000.

Let's try some
more problems.

First, we just multiply the
numbers without zeros, then write

as many zero as the numbers we
have, to the right side.

3 × 10 = 3 tens = 30 4 × 10 = 40
5 × 100 = 5 hundreds = 500 32 × 100 = 3200
7 × 1000 = 7 thousands = 7000 23 × 200 = 4600
12 × 400 = 4800

From the examples, we remember the points.

1. When a number is multiplied by 10, 20, 30, 40 50, 60, 70
80 and 90, we multiply the numbers by 1, 2, 3, 4, 5, 6, 7, 8,
and 9, and put one zero to the end of the product.

2. When a number is multiplied by 100, 200, 300, 400, 500,
600, 700, 800, and 900, we multiply the numbers by 1,
2, 3, 4, 5, 6, 7, 8 and 9, and put two zero to the end of the
product.

3. Wen a number is multiplied by 1000, 2000, 3000, 4000,
5000, 6000, 7000, 8000 and 9000, we multiply the given
numbers by 1, 2, 3, 4, 5, 6, 7, 8 and 9, and put three zero
to the end of the product.

Mathematics 1 221

Complete the following boxes:

2 × 10 = 5 × 40 =

3 × 100 = 8 × 60 =

4 × 1000 = 9 × 50 =

4 × 20 = 8 × 5000 =

3 × 200 = 12 × 3000 =

5 × 300 = 42 × 400 =

7 × 2000 = 71 × 200 =

23 × 200 = 125 × 100 =

26 × 30 = 5 × 1000 =

52 × 600 = 25 × 2000 =

75 × 3000 = 10 × 3000 =

175 × 3000 = 15 × 2000 =

275 × 3000 = 125 × 3000 =

222 Mathematics 1

Perform the following tasks as the given example:

2 0 4 0 5 0 3 0 7 0
× 3 0 × 6 0 × 7 0 × 8 0 × 2 0

600

7 0 0 5 0 0 4 0 0 3 7
× 5 0 × 3 0 × 7 0 × 1 0 0

3 7 3 2 4 1 2 3 6 1 0
× 1 0 0 × 2 0 0 × 3 0 0 × 5 0 0 0

Perform the following tasks as given the example:

1 2 7 8 6 7 8 3 0 9
× 1 0 × 1 0 × 1 0 × 1 0

120

1 3 6 9 9 7 8 2 5 9 3
× 1 0 0 × 1 0 0 × 1 0 0 × 1 0

1 7 9 4 6 3 4 7 6 3 7 9
× 1 0 0 0 × 1 0 0 0 × 1 0 0 0 × 1 0 0 0

Mathematics 1 223

Multiplication by Two
Digit Numbers

Multiply 27 by 13.

There are three steps for 13 = 10 + 3
this multiplication.

Step 1 Step 2 Step 3

Multiply 27 by 3. Multiply 27 by 10. Add the products.

2 2 7 1
2 7 × 1 0 8 1
× 3 270 + 2 7 0
8 1 351
2 7
224 × 1 3 Mathematics 1

81
+2 7 0

35 1

Multiply 27 by 13.

2 8 2 8 2 8 +
× 1 6 × 6 × 1 0

+

3 7 3 7 3 7 +
× 2 4 × 4 × 2 0

+

6 4 8 6 4 8 6 4 8
× 5 7 × 7 × 5 0

+ +

7 8 3 7 8 3 7 8 3
× 6 5 × 6 5 × 6 0

+ +

Mathematics 1 225

Multiply the following as shown in the example.

1 4 6 3 7 5 2 4 3
× 2 4 × 4 2 × 3 9

5 8 4 + +

+ 2 9 2 0

3 5 0 4

4 3 6 5 6 7 2 8 9
× 5 6 × 6 4 × 3 4

+ + +

5 2 1 6 4 8 9 7 3
× 2 3 × 3 7 × 5 4

+ + +

8 7 6 5 3 9 7 4 5
× 4 7 × 3 8 × 9 4
+ +
+
226 Mathematics 1

Word Problems on Multiplication

See, feel and learn.
A hen has 2 legs.

How many legs do 4 hens have?

4 hens have 4 times 2 legs.
×=

Complete the following.

A cat has 2 ears.
How many ears do 5 cats have?

×=

Mathematics 1 227

A dog has 4 legs.
How many legs do 6 dogs have?

×=
A rickshaw has 3 wheels.
How many wheels do 4 rickshaws have?

×=
A car has 4 wheels.
How many wheels do 5 car have?

×=

228 Mathematics 1

A cow has 2 horns.
How many horns do 6 cow have?

×=

Multiply by zero (0)

0+0=0 2 zero = 0 2×0=0
3×0=0
0+0=0 3 zero = 0

I understand, when zero is
multiplied by any number

result is zero.

Complete the followings.

2×0= 2468
3×0= ×0 ×0 ×0 ×0
6×0=
8×0=
9×0=

Mathematics 1 229

Word problems
There are 30 eggs in a crate. How many eggs are
there in such 14 crates?

Salim, can you solve
the above problem?

Yes, Madam! I can solve it. We
have to multiply, don't we? We
do so because, in 14 crates the
number of eggs are more than

that in 1 crate.

30 Therefore, there are 420 eggs
×14 in 14 crates.
120
+300
420

230 Mathematics 1

Solve the following problems:

a) There are 24 bottles in a cartoon. 24
How many bottles are there in such 8 ×4
cartoons?
12
Therefore, bottles are in 8 ×9
cartoons.
375
b) There are 12 biscuits in a basket, how ×7
many biscuits are there in 9 baskets?
890
Therefor, biscuits are there. ×6

c) A man earns Rs. 375 in a day. How 24
much does he earn in a week? ×30

Therefore, he earns in a week.

d) The cost of a pair of shoes is Rs. 890.
What is the cost of such 6 pairs of
shoes?

Therefore, the cost of 6 pairs of shoes

is .

e) There are 24 hours in a day. How many
hours are there in a month?

Therefore, hours in a month.

Mathematics 1 231

f) The price of packet of chocolates is 75
Rs. 75. What is the price of 40 such ×40
packets of chocolates?
185
Therefore, the price of 40 packets of ×24

chocolates is .

g) There are 185 pages in a book. How
many pages are there in such 24
books?

Therefore, pages there in 24
books.

h) There are 37 students standing in each
line for the morning assembly. How
many students are there altogether if
there are 35 such lines?

Therefore, students are there
altogether.

i) Ram spends Rs. 45 in a day for his
tiffin. How much does he spend in 3
weeks?

Therefore, he spends in 3
weeks.

232 Mathematics 1

j) The cost of a watch is Rs. 375. How
much will be the cost of 28 such
watches?

Therefore, the cost of 28 watches is

.

k) There are 247 candles in a box. How
many candles will be there in 48 such
boxes?

Therefore, there are candles in
48 boxes.

l) If the cost of one table is Rs. 876, find
the cost of 56 such tables.

Therefore, the cost of 56 such table is

.

m) There are 365 days in a year. How
many days are there in 28 years?

Therefore, there are days in 28
years.

Mathematics 1 233

Division

See, feel and learn.

There are 8 eggs in a plate.
Put the eggs equally into two plate.

There are 4 eggs in each plate.
We have, 4 + 4 = 8 (Addition)

Also, we write 4 × 2 = 8 (Multiplication)
Also, we write 8 ÷ 2 = 4 (Division)

Put 6 balls equally into 2 groups.

6÷2=3 Mathematics 1
There are 3 balls in a group.

234

Encircle 9 apples in 3 groups.
9÷3=

There are 3 apples in a group.
Encircle 10 balloons in 2 groups.

10 ÷ 2 =

There are 5 balloons in a group.
Encircle 12 birds in 3 groups.
12 ÷ 3 =

There are 4 birds in a group. 235

Mathematics 1

Division as repeated subtraction

Let's learn about division.
There are 20 pencils. Share
them equally among 4 boys.

1st time : 20
–4
16

2nd time : 16
–4
12

3rd time : 12
–4

8

4th time : 8
–4

4

5th time : 4
–4

0

Here, 5
Quotient =

Remainder = 0

236 Mathematics 1

32 35
–6 –7
18
–6 Quotient =
12 Remainder =
–6
45
6 –9
–6

0

Quotient =

Remainder =

17
–4

Quotient = Quotient =
Remainder = Remainder =

Mathematics 1 237

Division of Two Digit Numbers
by One Digit Number

See, feel and learn.

Divide 49 by 3 Steps :

3 49 16 In division, single digit divides the
–3 single digit at first from the left.
19 So, 4 tens ÷ 3 = 1 tens and 1 ten is still
– 18 the remainder.
1 Write 1 in tens place of the quotient.
Write the product of quotient and
Quotient = 16 divisor (i.e. 1 × 3 = 3) below the divided
Remainder = 1 in the tens place. 4 – 3 = 1
Divisor = 3
Dividend = 49 Now, bring 9 ones down.
1 ten + 9 ones = 19 down.
19 ones ÷ 3 = 6 ones and remainder 1
ones.
Write 6 in ones place of quotient.
Write the product of quotient and
divisor (i.e. 6 × 3 = 18) below the dividend.
19 – 18 = 1

Can you verify Of course, I can.
the result?

Dividend = Divisor × Quotient + Remainder
= 3 × 16 + 1
= 48 + 1
= 49

238 Mathematics 1

Perform the following task, and verify your result.

69 ÷ 2 87 ÷ 4 36 ÷ 5

56 ÷ 3 84 ÷ 6 74 ÷ 9

Mathematics 1 239

Division of 3 digit numbers by 1 digit number.

Divide 492 by 4.

4 492 123 Verification
–4 Divisor × Quotient + Remainder
09 = 4 × 123 + 0
–8 = 492 + 0
12 = 492
– 12 = Dividend
0

Quotient = 123
Remainder = 0

Divide 329 by 4.

4 329 82 Steps :
– 32
09 In the number 329, the digit
–8 at hundreds place is less than
1 divisor. So, let's take the digit
at tens place, too, then divide
Quotient = 82 32 ÷ 4 = 8
Remainder = 1 Now, bring 9 ones down.
9 ÷ 4 = 2 ones + 1 ones
240
Mathematics 1

Perform the following task and verify your result.

345 ÷ 3 634 ÷ 5 672 ÷ 6

945 ÷ 7 824 ÷ 8 972 ÷ 9

Mathematics 1 241

Division of 4 and 5 digit numbers by 1 digit number.

Divide 4219 by 3.

3 4219 1406 Steps :
–3
12 4 > 3, so 4 ÷ 3 and remainder 1
– 12
01 Bring down 2 and 12 ÷ 3 = 4
–0
19 Bring down 1 but 1 < 3,
– 18
1 So for 1 ÷ 3, quotient 0
remainder 1 again bring
down 9 and 19 ÷ 3 = 6 and
remainder 1.

Quotient = 1406

Remainder = 1

Perform the following tasks.

2744 ÷ 2 6492 ÷ 3 7917 ÷ 7

242 Mathematics 1

5624 ÷ 4 7253 ÷ 6 9728 ÷ 9

4326 ÷ 6 4327 ÷ 5 5972 ÷ 9

Mathematics 1 243

37264 ÷ 3 56246 ÷ 5 63217 ÷ 7

82824 ÷ 9 44327 ÷ 4 75972 ÷ 8

244 Mathematics 1