'8

ir

Numbers and Numeration

Get ... Set ... Go~

Complete the grid.

13

25

32

46

54

73

85

91 96

Write the number names.

(a) 12 = Twelve

(b) 28 = (c) 60 =

(d) 87 =

67

78

(e)

(f)

(g)

(h)

10

39

so

. 90

100

31

46

74

95

=

= = =

The numerals 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are called digits. We make many numbers using these digits.

---- -. -----/// ____ ___ ____ ___ __ .

,,

···· ··· ·················· .. ········ ············· ·· ············· .. ·············· .. ······ ······························ ·· ............... ........ ..... ....... ..... ... .... ..................... .. , .. .. .... .. ...... .... .... .................... ..... ... .. .. ... .... ........ .

IMPORTANT TERMS: Numerals: Symbols that indicate how many or how much; Digits: 0, 1, 2, 3,

4, 5, 6, 7, 8 and 9 are called digits.

• a

~ Write the numbers shown on the abacus.

(a) T r (b) T O (c) T 0

□ ~ Expand the numbers.

(a) 47 - 40 + 7

(b) 58 -

(c) 25 -

fJ;; Write the numeral.

(a) 2 tens 3 ones = _ __.2 ___ 3'---_

(b) 3 tens 4 ones = ___ _

(c) 5 tens 5 ones = ___ _

□ □

(d) 86

(e) 61

(f) 74

(d) T o

I ID DJ

(d) 7 tens O ones = __ _

(e) 6 tens 9 ones = __ _

(f) 7 tens 2 ones = __ _

ir Write the position of each child using ordinal numbers.

1st -------------- --

• a

f!j Write the place values of the encircled digits.

(a) 2 ® = s (d) 5 0 = (b) ® 6 = ___ (e) 0 8 =

(c) ® 8 = ___ (f) 6 @ =

~ What comes:

before after between

(a) 27 (d) 27 (g) 79

(b) 74 (e) 11 (h) 43

(c) 88 (f) 33 (i) 26

rrs Write the symbol>,< or= in the circle.

(a) OD-()~ 75 I (d) ~~ 89 I

(b) Ou-()~ 90 I (e) ~~ 4 + 4 I

cc> 9 - 2 5 + 1 <f) ~~ 9 - 1 I

~ Write in:

ascending order descending order

(a) 74, 47, 18, 92 (d) 33, 41, 17, 52

□□□□ □□□□ (b) 81, .84, 55, 27 (e) 66, 11, 76, 82

□□□□ □□□ □ (c) 12, 44, 51, 15

□□□□ (~ □□□□ ········••······ ·· ··············· ··••·······

IMPORTANi .. TERMS·;·Pl~~~-V~l~-~-;·Th~-~~i~~--;f·~--di~i~-~i~p~~-d~g-;~·i~~-p~~ition in a n umber .

• a

81

45

28

NUMBERS BEYOND 100

,, Do you know that 99 is ' · the last two-digit number?

And 99 + 1 = 100

:Yes : I '

. - . -------- --( y 0 u ~~~ icio· i-s -th~

- :._/irst three-digit numb ··------- ---- er. ,, .-- -. --

100 ones = 10 tens = 1 hundred

Counting in Hundreds

II ii 1111

100 One

Hundred

200 Two

Hundreds

300 Three

Hundreds

400 Four

Hundreds

500 Five

Hundreds

ii ■ II ='" I"' ' '. ~~ -~· ~~: t · I - I ' ' 8 I:' ,

II II 1i 11 ~ ~,?.

- . -·: . :· ~ -~ c- r. • ~ f.-:;-~

• ♦• • .~ ·•F.'· • ~ :..u, l-Fd ~l • - ,

,Ill ....,. .. lt ,_. •• • • 1·

1:! - '

0 a

600 Six

Hundreds

700 Seven

Hundreds

900 \ Nine Hundreds

1000 One

Thousand

Writing Numbers Beyond 100

We know that

uJ uJ uJ ED BJ -ED CJJ uJ ED ClJ -

10 ones = 1 ten 10 tens

~ Fill in the blanks as shown.

4 = 134

(b) ■II II Bl t'il ['jloJ ['j)O)

+--=--

•• (c) ••• 1111

+ --=--

••• (d)

•••• ulBOJ

+--=--

•••• (e)

•••• Ill + -- =--

•

- ~ __ ,..._-?_L - ,-~ ~ ]I i

I J : I I iJ

I

= I I I

I TJ I

a I I j

I ,,;

I I i j

= 1 hundred

10 ones = 1 ten

10 tens = 1 hundred

100 ones = 1 hundred

~ Fill in the missing numbers and read them aloud.

(a) 101 103 10.5 107 109 110 (b) 351

112 114 116 118 120

·121 123 125 127 129 359

132 134 135 138 140 (c) 665

141 143 146 150

151 154 156 158 159 160

162 164 165 167 169 671

171 173 175 177 179 (d)

181 182 185 186 188 190

193 194 196 197 199 200

({/ Fill the missing numbers.

(a)

(b)

356

669

976

980

358 361

-667

-

97~

I

985 I

◄

HUNDREDS, TENS AND ONES

( 10 tens = 1 hundred ': "' ' '

i, 20 tens = 2 hundreds ,l

f:jJ' Fill in the blanks.

(a) 10 tens - 1 hundred (f) 60 tens

(b) 20 tens - ___ (g) 70 tens

(c) 30 tens =

(d) 40 tens =

(e) 50 tens =

(h) 80 tens =

(i) 90 tens =

I: [e} ,., How many three-digit numbers are there between 101 to 999?

fj; Read the boxes and write the numbers.

(a) [I] 1100 1 []Q] [I] 10 1 I 100 I ITJ

(b) I 100 I I 100 I [I]

I 100 I I 100 I uQJ ITJ \100 1 []Q] [I]

(c) I 100 I I 100 I [I]

\100 1 []Q] [I] ~ \100 1 []Q] [I]

213 I

(d)

I

(e)

I

First box says 213 ,1 ✓ because it has !

2 hundreds 1 ten !

and 3 ones.

\ 100 I uQJ ITJ ITJ I 100 I uQJ ITJ ITJ ~ \ 100 I uQJ ITJ ITJ I 100 I I 100 I uQJ ITJ I 100 I I 100 I CTQJ ITJ ~ I 100 I I 100 I CTQJ ITJ

I

I

NUMBER NAMES

<rhe n~~e;~l-145 is. ;~a·d-~~ ---, j one hundred forty-five. \ It represents 1 hundred 4 tens '.. and 5 ones. r Write the numbers and number names.

(a) 7 hundreds 2 tens and 5 ones 1725 I Seven hundred twenty-five

(b) 6 hundreds 3 tens and 6 ones D _______ _ (c) 8 hundreds O tens and 2 ones D ________ _ (d) 4 hundreds 1 ten and 5 ones D _______ _ (e) 5 hundreds 1 ten and O ones D _______ _

Activity-

f Making greatest and smallest 3-digit number using number

cards from your Math Kit.

■ ffl[!J[I For example, Take any 3 number cards (say 2, 3, 5) from your Math Kit

and make all possible 3-digit numbers.

■ ■■■ ■■■ ■

• A

3-DIGIT NUMBERS ON THE ABACUS

Numbers up to 999

We know that 100 comes after 99. So, 99 is the last two-digit number and

100 is the first three-digit number.

Now, see how we read hundred (H) on the abacus.

is written as @

is shown as 100 ones or hundred (H)

10 tens

In order to write a 3-digit number, we need three places:

Hundreds (H), Tens (T), and Ones (0).

Some more 3-digit numbers are:

2 hundreds or

20 tens or

200 ones

3 hundreds or

30 tens or

300 ones

4 hundreds or

40 tens or

400 ones

5 hundreds or

50 tens or

500 ones

H T 0

l 10[Q][Q]I

H T 0

l 10~~1

H T 0

J 10~~1

H T 0

6 hundreds or

60 tens or

600 ones

7 hundreds or

70 tens or

700 ones

8 hundreds or

80 tens or

800 ones

9 hundreds or

90 tens or

900 ones

H T 0 I

H T 0

j I [I]@J@J I

H T 0

j lIT]@J[EJ

H T 0

J1 1 0 [EJW

H T 0

I I [I][EJ~

& Write the numbers shown on the abacus.

(a) H T o I (b) H T o (c) ti T 9 (d) H T o

l !l · i ll 11 J*i [1][]][1] □□□ - □□□ -----+- □□□

(e) I : i (ij i ! ' (g) l l I I (h) : T ;

, DD□ : □□□ 1□IT□ □-□□

(i) i I 0

CTDD

(j) H T 0

! ~ 1oc!J□ 1

(I) H T 0 I I . I I ; ro□□

(n) H T 0

* (p) ti lT <? A

111 DD□

One Thousand

When we add 1 to the greatest 3-digit number, we get the smallest 4-digit

number as 1,000. Let's represent 1,000 on the abacus.

H T 0 Th H T 0

+ 1 =

IWWWI Nine hundred ninety-nine One thousand

~ Math in Action

Objective: To understand the concept of place value.

Materials Required: Number cards from O to 9 (available in Math Kit) and

three chairs labelled as hundreds, tens and ones.

Steps:

1. Divide your class in the groups of three children each.

2. Tell the children of the first group to pick up any three number cards

and sit down on the chairs.

3. Write the number on the board.

4. Ask the children to exchange their places and form another number.

5. Write the new number on the board.

6. Instruct them to form the greatest and smallest number with their

number cards.

7. Ask them how many different numbers they made.

ttr'ttl Everytime the number should be read out loudly.

i] Fun Time

Use the place value cards from your Math Kit and paste the number for

expanded form in your Math Notebook.

PLACE VALUE OF THE DIGITS

Hundreds Tens

2 .. - .. --- ~- -- . -

· The value of 2 · is highest in the '. hundreds place.

2

0

Ones

2 ~ 2 ones

0 ~ 2 tens

0 ~ 2 hundreds

Now, read the next number and give your answer.

In 635,

the digit D represents the number of ONES

the digit D represents the number of TENS

---

the digit D represents the number of HUNDREDS .

2 20

200

r; What are the place values of these digits in the numerals?

(a) 2 In 325 ~ (b) 3 1n 239 □ (c) 4 In 470 □ (d) 6 ,n 267 □ (e) 3 ,n 623 □ (f) 1 ,n 218 □

~ unning @urns. • Write a number in each box. 93, 40, 33, 67, 54, 54

(a) D-0-0 (b) D-0-0

• &

(g) 7 . 279 □ ,n

(h) 6 ,n 236 □ (i) 2 ,n 925 □ (j) 5 ,n 543 □ (k) 8 ,n 480 □ (I) 0 ,n 410 □

(c) Qf: -0

◄

EXPANSION OF 3-DIGIT NUMBERS

We expand a number by writing the place value of each digit.

i, Write the expanded form of the following numbers.

HT 0 HTO

(a) 3 3 6 = 300 + _3_Q_ + _Q_ (f) 5 3 5 = + + - - -(b) 9 2 8 = + + (g) 6 2 0 = + + - - - - -(c) 1 7 2 = + + (h) 5 6 0 = + + - - - - -(d) 1 8 9 = + + (i) 6 3 7 = + + - - - - -(e) 4 6 2 = + + 0) 9 6 2 = + + - -

BEFORE, AFTER AND BETWEEN ' -: Before ·: ' ' ~ --- - - - - ,,

--------------~ (Between ·: '- '

if What comes:

before between after

(a) 367 (d) 414 416 (g) 119

(b) 509 (e) 908 910 (h) 321

(c) 761 (f) 687 689 (i) 744

1:(,it, How many numbers can you make by using the digits 2, 5 and 3? Don't

repeat any digit.

G a

COMPARISON OF 3-DIGIT NUMBERS

,- ----- --- --- --- -- -- - ~,

' ' i Please tell me : ' '

/which number is! ' greater.

·--------:-:--:-- ----rhe-nu mber-wh-ich ' I 345 or 523. i

: comes later while counting

is always greater. So, 523

______ is _greater than _3~5.

Rules for comparing two numbers:

1. First look at the digits in hundreds place. The numeral

with more number of hundreds is greater.

2. When the digits in hundreds place are equal, then the

numeral with more number of tens is greater.

3. When the digits in tens place are equal, then the numeral

with more number of ones is greater.

4. When all the digits are same, the numbers are equal.

Example: Compare 368 and 342.

Now, I can

compare

the numbers, --,: ,- - -- - - - - - - - - ,

. .

H T 0 Solution: Here, digits in the hundreds place are equal, that is

3 = 3. Now, compare the digits in the tens place. In the tens

place 6 is greater than 4 (6 > 4), therefore 368 is greater than 342 or 368 > 342.

~: ~ • equal

Compare and write >, < or = in the Q . (a) 300 305 (g) j .-7-0l~ ~ Q-Qio

(b) 205 250 (h) j 792 ~()--{}29 (c)

(d)

(e)

(f)

293

510

56

440

392

500

650

404

(i) ~-f'665

(j) 01IJ-()-/ 533

(k) ~ __, 902

(I) 900 400

ASCENDING AND DESCENDING ORDER

(A~~~~ding is going 'i ! up. ! ' .. ___ ., _____ ___ __ --------- -...... • .. -..

( To~-~-~t-i~-~-~~~~-<l~g-<::

!_ an~- ~~-~-~-~~- ~-~ -~~~~~-~~~~~)

i;> Write the numerals in ascending order.

(a) 465, 794, 367, 285 2..8..5.,

{b) 429, 490, 360, 510 __,

(c) 620, 260, 701, 777 __,

{d) 525, 557, 590, 582 __,

(e) 129, 291, 921, 299 _,

361,

_,

_,

_,

__,

r Write the numerals in descending order.

(a) 196, 169, 916, 619 916, 619,

(b) 325, 225, 525, 425 __, __,

46.5.,

_,

_,

__,

__,

(c) 410, 420, 240, 440

(d) 390, 430, 340, 490

(e) 460, 520, 630, 210

__, _, _,

_, __, _,

_, _, _,

(Dunning 0-ums. •

Which number comes just after?

(a) 109 __ (b) 999 __ (c) 509 __

29.4

Ol C

"'O C QJ u V)

<(

ODD AND EVEN NUMBERS

ODD EVEN

□ 1 IT]

[b 3 BB Efb 5 I ~ J

7

[ I I I ~ I g

1 2 3 4 5

Odd Even Odd Even Odd

Remember ,

2

4

6

8

- - - - - . - - - - - - - - - -

j All the numbers that i have 0, 2, 4, 6 or 8 in · the ones place are ! called even numbers.

, . / : ' ' ' ' ' ',

--- --- ---- ---------- -----

All the numbers that have 1, 3, 5, 7 or 9 in

the ones place are called odd numbers.

6 7 8 9

Even Odd Even Odd

After every even number there is an odd number and after every odd number

there is an even number.

·· ·· ··· ····· ·•········· ··•· ·•·· ·•••···· ·•· · ···· ·•·· ··•········ · ···· ····· ··· ···· .. ·· ·· .. ... .... , .... ... .... ........ ..•..... . ... .•. ..... .... .... .....•. . , .. ·· ·· ···••,o , ,, . ...•. .. .. .. .. ... .... . ... . .. ··· ····· ···· · ····· ···· ··

IMPORTANT TERMS: Odd Numbers: The numbers which cannot be grouped in twos;

Even Numbers: The numbers which can be grouped in twos.

ij Put a cross over the odd numbers.

10 X 12 13 14

19 20- 21 22 23

28 29 30 31 ·32

37 38 39 40 41

46 47 48 49 50

55 56 57 58. 59

64 65 66- 67 68

73 74 75 76 77

82 83 84 85 86

91 92 93 94 95

15 16

24 25

33 34

42 43

51 52

60 61

69 70

78 79

87 88

96 97

17

26

35

1,44

53

62

71

80

89

98

18

27

36

45

54

63

72

81

90

99

:

There are 50 odd numbers

from 1 to 100. :

' '

j There are 50 j

! even numbers ! ! too from 1 to 100.:

ii Tick(✓) the even numbers and circle the odd numbers.

(a) 100 183 311 382 404 645

(b) 789 866 928 597 999 375

(c) 309 390 930 903 366 633

(d) 619 206 531 433 468 700

■:(•){, Find out the following numbers. Write odd or even in the ( ). Number

1. Your house number.

2. Your car number.

3. Your date of birth.

4. Your telephone number.

[Hint: Look at the digit in ones place carefully.]

Odd/Even

(

(

(

(

)

)

)

)

~ Worksheet

1. Fill in the blanks.

(a) The place value of 3 in 235 is ________ _

(b) The smallest 2-digit number is ________ _

(c) The greatest 3-digit number is ________ _

(d) The number name of 409 is ________ _

(e) The numeral for five hundred one is --------2. Write in ascending order.

200 210 201 120 102

3. Write in descending order.

320 203 302 322 230

4. Compare the numbers and write>,< or= in theQ.

(a) 430 403 (d) I 890 ~~ (b) I 522 ~Q--mD (e) 110 110

cc> 667 766 cf> 1446 ~~ 5. Write true or false.

(a) 20 is an even number.

(b) After every odd number there is an even number. B (c) In the number 220, the place value of 2 is same in both

the places. 0 (d) 345 comes after 342. CJ

D (e) The number between 810 and 812 is 811.

-d