Math 2

See, feel and do.

1. Write in words and in devanagari system. !)&

107 = _O_n_e_h_u_n_d_r_e_d_a_n_d__s_e_v_en___________________
120 = _____________________________________
175 = _____________________________________
186 = _____________________________________
198 = _____________________________________
200 = _____________________________________
128 = _____________________________________

2. Write the numerals for given number names in the boxes and
also in Devanagari.

One hundred and twenty seven = 127 Ps ;o ;QfO{; !@&

One hundred and fifteen =

One hundred and forty eight =

One hundred and seventy four =

One hundred and eighty seven =

One hundred and ninety nine =

3. Write down in expanded from as shown in the example:

157 = 100 + 50 + 7 129 = + +
111 = + +
182 = + + 169 = + +
192 = + +
123 = + + 187 = + +

140 = + +

198 = + +

Mathematics 2 Approved by CDC 51

4. Fill in the boxes as shown below:

117 = 1 hundred 1 ten 7 ones
135 = hundred ten ones
149 = hundred ten ones
157 = hundred ten ones
165 = hundred ten ones
175 = hundred ten ones
199 = hundred ten ones

Read and write 109 110
119 120
101 102 103 104 105 106 107 108 129 130
111 112 113 114 115 116 117 118 139 140
121 122 123 124 125 126 127 128 149 150
131 132 133 134 135 136 137 138 159 160
141 142 143 144 145 146 147 148 169 170
151 152 153 154 155 156 157 158 179 180
161 162 163 164 165 166 167 168 189 190
171 172 173 174 175 176 177 178 199 200
181 182 183 184 185 186 187 188
191 192 193 194 195 196 197 198

Numbers from 201 to 300

See, feel and do.

1. Fill in the boxes as given in the example.

a Tens Ones Two hundred and one

Hundred

b'O{ ;o Ps

2 0 1 201 Mathematics 2
52 Approved by CDC

b Tens Ones

Hundred

c Tens Ones

Hundred

d Tens Ones

Hundred

e

f

Mathematics 2 Approved by CDC 53

g

h

2. Write the numerals and in devanagari system.

Two hundred and thirty five = 235 bO' { ;o k}lt; @#%
Two hundred and nineteen =
Two hundred and thirty nine =
Two hundred and forty eight =
Two hundred and sixty three =
Two hundred and eighty =

3. Write in words:

291 = Two hundred and ninety one bO' { ;o PsfgAa]
219 =
237 =
259 =
275 =
292 =
299 =

54 Approved by CDC Mathematics 2

4. Write in short form as shown in example.

200 + 00 + 1 = 201 200 + 80 + 1 =
200 + 10 + 9 = 200 + 50 + 8 =
200 + 60 + 3 = 200 + 90 + 8 =
200 + 80 + 2 = 200 + 30 + 1 =
200 + 90 + 0 = 200 + 60 + 7 =

5. Write in expanded form as shown in example.

201 = 200 + 00 + 1 227 = + +
291 = + + 218 = + +
282 = + + 238 = + +
263 = + + 275 = + +
254 = + + 295 = + +
244 = + + 299 = + +

Read and write

201 202 203 204 205 206 207 208 209 210
211 212 213 214 215 216 217 218 219 220
221 222 223 224 225 226 227 228 229 230
231 232 233 234 235 236 237 238 239 240
241 242 243 244 245 246 247 248 249 250
251 252 253 254 255 256 257 258 259 260
261 262 263 264 265 266 267 268 269 270
271 272 273 274 275 276 277 278 279 280
281 282 283 284 285 286 287 288 289 290
291 292 293 294 295 296 297 298 299 300

Mathematics 2 Approved by CDC 55

Numbers from 301 to 1000

See, feel and do.

1. Read the abacus and fill the given boxes as given in the example.
;o bz Ps

a Hundred Tens Ones

Three hundred and one

ltg ;o Ps

3 01 301

b Hun;dored Tbezns OPnses

;o bz Ps

c Hundred Tens Ones

;o bz Ps

d Hundred Tens Ones

56 Approved by CDC Mathematics 2

e Hundred Tens Ones

H TO
f

H TO
g

H TO
h

Mathematics 2 Approved by CDC 57

i Tens Ones

Hundred

j Tens Ones

Hundred

k Tens Ones

Hundred

l Tens Ones

Hundred

58 Approved by CDC Mathematics 2

2. Write the numerals and devanagari system. #($
#)!
Three hundred and ninty four = 394 ltg ;o rf}/fgAa]

Five hundred and fifty five =
Seven hundred and nineteen =
Nine hundred and sixty seven =
Three hundred and forty =
Four hundred and forty nine =
Eight hundred and seventy =

3. Write in words. (Hindu Arabic and Devanagari)

301 = Three hundred and one ltg ;o Ps
406 =
579 =
675 =
791 =
859 =
959 =

4. Write in short form as shown below.

300 + 00 + 2 = 302 500 + 50 + 6 =
800 + 10 + 8 = 800 + 60 + 9 =
900 + 20 + 7 = 600 + 70 + 1 =
700 + 30 + 3 = 500 + 80 + 2 =
400 + 40 + 4 = 700 + 90 + 9 =

Mathematics 2 Approved by CDC 59

5. Fill up the empty boxes:

301 302
851 852
681 682
961 962
491 492
541 542
771 772

6. Write in expanded form as shown in example:

393 = 300 + 90 + 3 928 = + +
885 = + + 780 = + +
555 = + + 671 = + +
997 = + + 568 = + +
582 = + + 445 = + +

Read and write

301 302 303 304 305 306 307 308 309 310
311 312 313 314 315 316 317 318 319 320
321 322 323 324 325 326 327 328 329 330
331 332 333 334 335 336 337 338 339 340
341 342 343 344 345 346 347 348 349 350
351 352 353 354 355 356 357 358 359 360
361 362 363 364 365 366 367 368 369 370
371 372 373 374 375 376 377 378 379 380
381 382 383 384 385 386 387 388 389 390
391 392 393 394 395 396 397 398 399 400

60 Approved by CDC Mathematics 2

401 402 403 404 405 406 407 408 409 410
411 412 413 414 415 416 417 418 419 440
421 422 423 424 425 426 427 428 429 430
431 432 433 434 435 436 437 438 439 440
441 442 443 444 445 446 447 448 449 450
451 452 453 454 455 456 457 458 459 460
461 462 463 464 465 466 467 468 469 470
471 472 473 474 475 476 477 478 479 480
481 482 483 484 485 486 487 488 489 490
491 492 493 494 495 496 497 498 499 500

501 502 503 504 505 506 507 508 509 510
511 512 513 514 515 516 517 518 519 550
521 522 523 524 525 526 527 528 529 530
531 532 533 534 535 536 537 538 539 540
541 542 543 544 545 546 547 548 549 550
551 552 553 554 555 556 557 558 559 560
561 562 563 564 565 566 567 568 569 570
571 572 573 574 575 576 577 578 579 580
581 582 583 584 585 586 587 588 589 590
591 592 593 594 595 596 597 598 599 600

601 602 603 604 605 606 607 608 609 610
611 612 613 614 615 616 617 618 619 620
621 622 623 624 625 626 627 628 629 630
631 632 633 634 635 636 637 638 639 640
661 662 663 664 665 666 667 668 669 650
651 652 653 654 655 656 657 658 659 660
661 662 663 664 665 666 667 668 669 670
671 672 673 674 675 676 677 678 679 680
681 682 683 684 685 686 687 688 689 690
691 692 693 694 695 696 697 698 699 700

Mathematics 2 Approved by CDC 61

701 702 703 704 705 706 707 708 709 710
711 712 713 714 715 716 717 718 719 770
721 722 723 724 725 726 727 728 729 730
731 732 733 734 735 736 737 738 739 740
741 742 743 744 745 746 747 748 749 750
751 752 753 754 755 756 757 758 759 760
761 762 763 764 765 766 767 768 769 770
771 772 773 774 775 776 777 778 779 780
781 782 783 784 785 786 787 788 789 790
791 792 793 794 795 796 797 798 799 800

801 802 803 804 805 806 807 808 809 810
811 812 813 814 815 816 817 818 819 880
821 822 823 824 825 826 827 828 829 830
831 832 833 834 835 836 837 838 839 840
841 842 843 844 845 846 847 848 849 850
851 852 853 854 855 856 857 858 859 860
861 862 863 864 865 866 867 868 869 870
871 872 873 874 875 876 877 878 879 880
881 882 883 884 885 886 887 888 889 890
891 892 893 894 895 896 897 898 899 900

901 902 903 904 905 906 907 908 909 910
911 912 913 914 915 916 917 918 919 920
921 922 923 924 925 926 927 928 929 930
931 932 933 934 935 936 937 938 939 940
941 942 943 944 945 946 947 948 949 950
951 952 953 954 955 956 957 958 959 960
961 962 963 964 965 966 967 968 969 970
971 972 973 974 975 976 977 978 979 980
981 982 983 984 985 986 987 988 989 990
991 992 993 994 995 996 997 998 999 1000

62 Approved by CDC Mathematics 2

See, feel and do.

1. Write in words as given in example.

872 = Eight hundred and seventy two cf7 ;o axQ/ *&@

765 =
633 =
548 =
976 =

2. Write down in expanded form as the given example and in word.

472 = 400 + 70 + 2 = rf/ ;o axQ/

822 = + +=

600 = + +=

536 = + +=

915 = + +=

797 = + +=

3. Write down as shown in example.

kfFr ;o lqrfln; = 543 Five hundred and forty three
gf} ;o ;GtfpGg =
cf7 ;o ;Trfln; =
;ft ;o rf}/f;L =
5 ;o pgfG;o =

Mathematics 2 Approved by CDC 63

3.4 Formation of numbers using
three digits

See, feel and learn.

Let’s take three digits 2, 4, 6.
How many numbers can be made

by using these three digits?

4 I can’t say.
2 246 , 462 , 624

6

First let’s pick up the digit 2, then 4 and at last
6.That means running in the direction of the
hand of a watch, the number formed is 246.

Now let’s start from 4 then 6 and at last 2.The number formed is 462.

Similarly, start from 6, then 2 and at last 4. The number formed is 624. In
this way three numbers are formed and they are 246, 462, 624.

Similarly, let’s take the digits in the opposite direction 4
of the hand of a watch. First we take the digit 2, then 26
6 and at last 4.The number formed is 264. If we start 264 , 642 , 426
by taking 6 then taking 4 and at last 2, the number
formed is 642. Another number formed in the same
way is 426.

Thus, the six numbers formed by using the digits 2, 4 and 6 are 246, 462,
624, 264, 642 and 426.

64 Approved by CDC Mathematics 2

See, feel and do.

Make all six numbers using the given three digits. Also, circle the greatest
number among them and cross the smallest one.

Digits Numbers

7 279 , 792 , 927 , 297 , 972 , 729
29

6
47

8
59

6
19

2
59

2
74

7
63

7
15

Mathematics 2 Approved by CDC 65

Unit Revision Sheet

1. Write in numeral: Eight hundred and twenty
Nine hundred and four 629

2. Write in words.
708

3. Write down the place value of indicated number.

Place value Place value

942 815

784 629

4. Make all six numbers using the given three digits.
1, 8, 9
4, 9, 7

5. Write down the followings in devanagari numbers and in words
as given in example.

745 = &$% ;ft ;o k}tfln;

872 =

987 =

6. Write down the following numbers in place value table and
write in words.

654 = H T O 749 = H T O

916 = H T O

66 Approved by CDC Mathematics 2

4Unit

OUR COMMUNITY

Estimated periods - 13

Objectives

At the end of this unit, the students will be able to:
find greater and smaller numbers and write in order.
identify odd and even numbers.
write the numbers in roman numerals and vice versa.
compare the weights of objects and identifying different weights
like 1kg, 500 gm, 200 gm, 100gm, 50gm etc.

Teaching Materials
Chart of numbers, chart of roman numbers, abacus, place value table,
different weights, etc.

Activities

It is better to:
interpret greater and smaller numbers and order lay using cost of
goods as wells.
introduce roman numbers writing process for more than 5 numerals.
show the way of taking weight, compare and convert kilogram to
gram.

Mathematics 2 Approved by CDC 67

Grand dad is sixty, I am six.
How many times grand dad is more?
(I can say mam)2, he is 10 times older in the age.

Harry has 24, merry has eight
How many times Harry has best?
(I can say mam)2, he is 3 times best in the game.

Brother has 8, Sister has 8.
How many flowers are there red?
(I can say sir)2, there are 16 flowers in bed.

Girls are four, groups are 5,
How many girls are there at all?
(I know mam)2, there are 20 girls in the hall.

68 Approved by CDC Mathematics 2

4.1 Comparison of Numbers

See, feel and learn.

Which one is greater 352 or 467?

Let’s represent them in a place value table.

Hundreds Tens Ones
3 5 2
4 6 7

First, compare the digits of hundreds place.The digit in hundred place in 352
is 3 and its place value is 3 hundreds. The digit in hundreds place in 467 is
4 and its place value is 4 hundreds. We know, 4 hundreds is greater than 3
hundreds so, 467 is greater than 352. ie. 467 > 352.

Can you compare If the digit in hundreds
678 and 692 ? place is same, how we

compare them?

Represent them in a place value table.

Hundreds Tens Ones
6 7 8
6 9 2

The digit in hundred’s place is 6 in both the numbers 678 and 692. As the
digits in hundreds place are equal, Now, we have to compare the digits in
ten’s place, the digit in ten’s place in the number 678 is 7 and its place value
is 70.The digit in tens place in the number 692 is 9 and its place value is 90.
As 90 is greater than 70, so, 692 is greater than 678.

Mathematics 2 Oh yes sir, I understood. 69

Approved by CDC

If the digits of hundreds and
tens place is same, how can we

compare them Sir,

Thank you for the
question.

Let’s compare 952 and 958.

Represent them in a place value table.

Hundreds Tens Ones
9 5 2
9 5 8

First compare the digits of hundreds place. Both of
them are 9. That means they are equal. As the digits
of hundreds place are equal, now compare the digits of
tens place. Both of them are 5. It means they are also equal. As the digits
of tens place are also equal, lets compare the digits of ones place. The digit
in ones place of 952 is 2 and the digit in ones place of 958 is 8. 8 is greater
than 2. So, 958 is greater than 952.

Yes, I know this
very well.

Compare 947 and 862

Hundreds Tens Ones
9 4 7
8 6 2

As 9 hundreds is greater than 8
hundreds. So, 947 is greater than 862.

70 Approved by CDC Mathematics 2

Ascending and descending order

See, feel and learn.

1

Ascending order
Here, the fruits are arrange in smaller
to bigger.

Descending order
Here, the students are standing in
taller to smaller.

Pranav,
Do you know about ascending
and descending order of
numbers from 327, 325, 326

Yes mam,
Smaller to bigger 325, 326, 327.
Bigger to smaller 327, 326, 325

Absolutely right.
Smaller to bigger order of number is called ascending
order and bigger to smaller is called descending order.

2 Observe the numbers given in tank. 260
262
Ascending order 260, 261, 262 261

Descending order 262, 261, 260 71

Mathematics 2 Approved by CDC

3 Observe the numnbes written in T-shrit. 470
Ascending order 468, 469, 470, 471 471
469
Descending order 471, 470, 469, 468 468

4 Observe the numnbes written in board.

Ascending order 2508, 2516, 2520 2516
Descending order 2520, 2516, 2508 2508
2520

Compare 846 and 928

Hundreds Tens Ones
8 4 6
9 2 8

As 8 hundreds is smaller than 9 hundreds, so 846 is smaller than 928.

> greater than
< is less than or smaller than
= is equal to.

For example.
i) 829 > 724 is 829 is greater than 724.
ii) 584 < 674 is 584 is smaller than 674.
iii) 628 = 628 is 628 is equal to 628.

See, feel and do.

1. Compare the following. Compare 647 and 695
Hundreds Tens Ones
Compare 726 and 794
Hundreds Tens Ones

726 is smaller than 794 647 is than 695

72 Approved by CDC Mathematics 2

Compare 763 and 954 Compare 547 and 780
Hundreds Tens Ones Hundreds Tens Ones

763 is than 954 547 is than 780

2. Put > , < or = in the boxes:

523 533 767 776 892 899
589 579 692 729 905 901
847 947 794 867

3. Arrange the numbers in ascending order:

a. 542 967 845 767 650
542 650 845 767 967
b. 813 573 925 794 610

c. 567 540 510 570 501

d. 692 609 679 651 699

e. 823 814 859 894 860

f. 667 640 610 670 601

g. 892 809 879 851 899

h. 923 914 959 994 960

Mathematics 2 Approved by CDC 73

4. Arrange the numbers in descending order:
a. 971 679 773 575 877
971 877 773 679 575
b. 662 944 553 742 491

c. 842 810 880 892 823

d. 649 640 645 642 648

e. 952 951 958 955 953

5. What comes just after?

307 472 529
679 999 269

6. What comes just before? 777
211
470 940
633 550 531
772
7. What comes in between 224
572
432 434 529 891
370 372 770 1001
832 834 222
992 994 570 Mathematics 2
462 464 889
720 722 999

74 Approved by CDC

4.2 Even and Odd Numbers

See, feel and learn.

There is one bird. There are two birds.
It has no pair. It is a pair.
So, 1 is an odd number. So, 2 is an even number.

There are three birds. There are four birds.
One bird has no pair. There are two pairs of birds.
So, 3 is an odd number. So, 4 is an even number.

There are five birds. There are six birds.
Two pairs have pair but one bird There are three pairs of birds.
has no pair. So, 6 is an even number.
So, 5 is an odd number.

There are seven birds. There are eight birds.
Three pairs of birds have pair, There are four pairs of birds.
but one bird has no pair. So, 8 is an even number.
So, 7 is an odd number.

Mathematics 2 Approved by CDC 75

There are nine birds.
4 pairs of birds have pair, but one bird has no pair.
So, 9 is an odd number.

Hence, 1, 3, 5, 7 and 9 are odd numbers.
2, 4, 6, 8 are even numbers.

The digit in one’s place is 9.
9 is an odd number.

So, 19 is an odd number.

Let’s find whether
19 is an odd or an even number.
What is the digit in one’s place?

Is it an even or odd number?

To find whether the given number is an odd or an
even number, see the digit in one’s place. If the digit
in one’s place is an odd number, the given number
is an odd number. If the digit in one’s place is an
even number the given number is an even number.
Also, if the digit in one’s place is 0, the number is
considered as an even number.

76 Approved by CDC Mathematics 2

See, feel and do.

1. Let’s check the given numbers are odd or even:

21 digit in ones place 1 odd number
99 digit in ones place
490 digit in ones place
946 digit in ones place
919 digit in ones place
6348 digit in ones place
7187 digit in ones place

The digit of ones place in 21 is 1. 1 is an odd number. So, the
number 21 is also an odd number.The digit of one place in 132 is
2. 2 is an even number so, the number 132 is also an even number.

2. Count by 2's and write if they are odd or even numbers.

41 43 45 47 odd number
65

164

229

364

429

532

637

Mathematics 2 Approved by CDC 77

4.3 Weight

Your weight is
32 kg.

Study and learn.

Different weighing devices:

Weighing A dial A spring A beam balance/
machine balance balance A pan balance

Different standard weights:

50 gm 100 gm 200 gm 250 gm 500 gm 1 kg 5 kg 10 kg

Weight tells how heavy an object is. We measure weight in kilograms and
grams. Short form of kilogram is kg and short form of gram is ‘g’ or ‘gm’.

Heavier objects are measured in kilogram 1 kilogram = 1000 grams.
(kg) and lighter objects are measured in gram or, 1 kg = 1000 gm.
(gm).

78 Approved by CDC Mathematics 2

Compare the weights. Pratik
Activity 1 :

Madhav

25 kilogram 40 kilogram

Weight of Pratik is more than Madhav.
Weight of Madhav is lesser than Pratik.

Activity 2 :

Weight of cauliflower is more than potato.
Weight of potato is lesser than cauliflower.

Relation between kilogram and gram.

Pranisha, Can you say Yes, teacher
2 kilogram into gram It is 2000gm.

1 kg = 1000 gm
2 kg = 2 × 1000 gm
= 2000 gm

Mathematics 2 Approved by CDC 79

See, feel and do.

1. Guess and tick ( ) the heavier object from the following objects.

200 gm 50 gm 250 gm 500 gm 1 kg 10 kg

5 kg 500 gm 200 gm 100 gm 1 kg 200 gm

2. Guess and tick ( ) the heavier object from the following objects.

a telephone set and a mobile set a tooth brush and a toilet brush

T.V and laptop a jumbo bottle and a small bottle

80 Approved by CDC Mathematics 2

3. Compare the weight and write down more or less in the boxes.

35kg 40kg

Weight of pumpkin is Weight of boy is
than carrot. than girl.

Weight of carrot is Weight of girl is
than pumpkin. than boy.

4. Write down the weight of following objects where 1 kilogram
weight is used for one weighting object.

Weight of oranges is Weight of rice is
Kg Kg

Weight of Weight of
onions is beans is

Kg Kg

5. Convert the following as given in the example:

3 kg = 3 × 1000 gm = 3000 gm
gm
5 kg = × gm = gm
gm
10 kg = × gm =
81
7 kg = × gm =

Mathematics 2 Approved by CDC

Unit Revision Sheet

1. Put > or < in the boxes. 629 892 298
520 502 745 547 629

2. Write down the numbers in ascending and in descending order.
232, 147, 320 Ascending order
Descending order

832, 427, 549 Ascending order
Descending order

3. Find whether the following numbers are odd or even.

916 = 745 = 654 =

829 = 298 = 579 =

4. Answer the followings.
a) Which has more and least weight.

b) Write down the weight c) Convert into gram.
of pumpkin.
2 kg 500 gram

= × + gram

= + gram

= gram

It is kilogram Mathematics 2

82 Approved by CDC

5Unit

BASIC OPERATIONS ON
MATHEMATICS

Estimated periods - 48

Objectives
At the end of this unit, students will be able to:

add and subtract of two digits and three digits numbers upto 3
addends with and without carry over.
multiply three digits number by one digit number.
solve the simple word problems on addition and subtraction.
divide up to 2 digits number by one digit number.
solve simple word problems of multiplication and division

Teaching Materials

Pencils, marbles, match sticks, number cards, blocks, abacus, place value chart etc.

Activities

It is better to:
discuss with the students about the problems of addition and subtraction
with and without carry over by using the place value chart and abacus.
drill the problems of addition and subtraction related to their daily life.
discuss among the students about the word problems on addition
from the examples of their daily life in the class room and ask them.
discuss the problems of multiplication and division and their
applications upon daily life.
drill the commutative property of addition with different examples.
ask the students to demonstrate the activities related to this unit
suggested in the curriculum prescribed by C.D.C.

Mathematics 2 Approved by CDC 83

I like red straberry, I like yellow bananas.
(Twelve straberry, fifteen bananas)2

How many become yellow and red?
(Yes mam)2, there are 27 at all.

I like green grapes, I like blueberry.
(40 grapes, 15 berry)2

How many are there at all?
(Yes mam)2,There are 55 at all.

I like yellow oranges, I like red apples.
(25 oranges, 15 apples)2

How many are there after add.
(Yes mam)2, there are 40 in the box.

84 Approved by CDC Mathematics 2

5.1 Addition

See, feel and learn.

Model of counting objects for addition.

I have 12 I have 16
pencils. pencils.

12 + 16 = 28

I have 11 I have 15 26
balls. balls.
32
11 + 15 =
85
I have 14 I have 16
bananas. pencils.

16 + 16 =

Mathematics 2 Approved by CDC

Model of ten for addition: Yes teacher,There are
13 red dots and 16 blue
Ram can you count
red and blue dots dots where the total
dots becomes 29.
altogether?

13 + 16 = 29

Rita can you count Yes teacher,There are
red and blue dots 15 red dots and 14 blue

altogether? dots where the total
dots becomes 29.

15 + 14 = 29

86 Approved by CDC Mathematics 2

Addition under place value: Tens Ones
21
Tens Ones
53 +3 7

+1 4 21 + 37 =
67

53 + 14 = 67

42 17
+5 6 +3 2

42 + 56 = 17 + 32 =

53 78
+2 5 +2 1

5 3 + 2 5 = 78 + 21 =

46 13
+3 2 +8 5

46 + 32 = 13 + 85 =

64 57
+2 5 +4 2

64 + 25 = 57 + 42 =

Mathematics 2 Approved by CDC 87

Addition of three digit numbers without
carry over

Study and learn.

HT O HTO Steps :
243 243 First add the digits of ones, 3 + 5 = 8
+4 2 5 +4 2 5 Then add the digits of tens, 4 + 2 = 6
668 668 Last add the digits of hundreds, 2 + 4 = 6

1. Perform the following additions:

HT O HTO HT O HTO
345 345 534 534
+2 3 1 +2 3 1 +3 5 2 +3 5 2

HT O HTO HT O HTO
752 752 434 434
+2 4 4 +2 4 4 +3 5 4 +3 5 4

HT O HTO HT O HTO
752 752 872 872
+2 4 4 +2 4 4 +1 2 4 +1 2 4

HT O HTO HT O HTO
457 + 563 +
+1 4 2 +3 2 6

88 Approved by CDC Mathematics 2

2. Perform the following additions:

265 427 532 432
+623 +350 +263 +364

675 678 352 463
+203 +321 +626 +223

Addition of three digit numbers
(Three addends)

Study and learn.

3 hundreds + 4 tens + 5 ones = 3 4 5
2 hundreds + 3 tens + 2 ones = 232
+ 1 hundreds + 2 tens + 2 ones = + 122
6 hundreds + 9 tens + 9 ones = 6 9 9

= 600 + 90 + 9 = 699

1. Complete the following additions:

2 hundreds + 3 tens + 6 ones = 2 3 6
4 hundreds + 2 tens + 1 ones = 421
+ 2 hundreds + 3 tens + 2 ones = + 232
hundreds + tens + ones =
=
=
= 5 2 5
5 hundreds + 2 tens + 5 ones = 203
2 hundreds + 0 tens + 3 ones = + 161
+ 1 hundreds + 6 tens + 1 ones =
hundreds + tens + ones =

= 89

Mathematics 2 Approved by CDC

4 hundreds + 3 tens + 2 ones = 4 3 2
1 hundreds + 4 tens + 3 ones = 143
+ 2 hundreds + 2 tens + 4 ones = + 224
hundreds + tens + ones =

= =

2. Perform the additions as shown in the example below:

2 3 1 = 2 hundreds + 3 tens + 1 ones
4 0 2 = 4 hundreds + 0 tens + 2 ones
+ 1 6 5 = + 1 hundreds + 6 tens + 5 ones
7 9 8 = 7 hundreds + 9 tens + 8 ones

= 700 + 90 + 8 = 798

2 7 4 = hundreds + tens + ones
5 1 3 = hundreds + tens + ones
+ 2 0 2 = + hundreds + tens + ones
= hundreds + tens + ones

= =

3 1 5 = hundreds + tens + ones
4 3 2 = hundreds + tens + ones
+ 1 4 2 = + hundreds + tens + ones
= hundreds + tens + ones

= =

4 3 6 = hundreds + tens + ones
2 3 1 = hundreds + tens + ones
+ 3 2 2 = + hundreds + tens + ones
= hundreds + tens + ones

= =

90 Approved by CDC Mathematics 2

3. Perform the additions as shown in the example below:

2 5 3 = 200 + 50 + 3 4 2 1 = + +
3 2 4 = 300 + 20 + 4 2 3 4 = + +
+ 1 1 2 = + 100 + 10 + 2 + 1 4 3 = + + +
6 8 9 = 600 + 80 + 9 = + +

5 3 2 = + + 4 2 3 = + +
2 0 5 = + + 2 4 1 = + +
+ 2 4 2 = + + + + 1 3 5 = + + +
= + + = + +

Word problems on addition

Do the following sums as in the given example: 15
+23
There are 15 apples and 23 apples in two
different baskets. How many apples are 38
there altogether?
There are 38 apples. 16
+32
There are 16 pencils and 32 pencils in two

different packets. How many pencils are

there altogether?

There are pencils.

A boy pays Rs. 25 for an exercise book and 25
+43
Rs. 43 for a pen. How much does he pay for

these two items?

He pays Rs. altogether.

There are 125 boys and 342 girls in a school. 125
+342
How many students are there in the school

altogether?

There are students altogether.

Mathematics 2 Approved by CDC 91

Regrouping of numbers

10 ones 1 ten 14 ones 1 ten 4 ones

10 tens 1 hundred

13 tens 1 hundred + 3 tens

15 tens 1 hundred + 5 tens

Study and learn.

3 tens + 12 ones = 4 tens + 2 ones
30 + 12 = 40 + 2 = 42
92 Mathematics 2
Approved by CDC

See, feel and do.

1. Add the following as given in the example:

a 3 tens + 7 ones b 2 tens + 5 ones
+ 2 tens + 6 ones + 4 tens + 8 ones
5 tens + 13 ones
= 5 tens + 1 ten + 3 ones =
= 6 tens + 3 ones =
= 60 + 3 =
= 63 =

c 5 tens + 6 ones d 3 tens + 7 ones
+ 2 tens + 8 ones + 4 tens + 9 ones

= =
= =
= =
= =

2. Fill in the blanks:
3 tens + 14 ones = 3 tens + 1 ten + 4 ones
= 4 tens + 4 ones = 40 + 4 = 44
5 tens + 17 ones = tens + ten + ones
= tens + ones = + =
7 tens + 13 ones = tens + ten + ones
= tens + ones = + =
2 tens + 25 ones = tens + tens + ones
= tens + ones = + =
4 tens + 32 ones = tens + tens + ones
= tens + ones = + =

Mathematics 2 Approved by CDC 93

Study and learn.

3 hundreds 14 tens 4 hundreds 4 tens

3 hundreds and 14 tens = 3 hundreds + 10 tens + 4 tens
= 3 hundreds + 1 hundred + 4 tens
= 4 hundreds + 4 tens
= 400 + 40 = 440

3. Fill in the blanks:

2 hundreds + 13 tens = 3 hundreds + 3 tens = 300 + 30 = 300
3 hundreds + 15 tens = hundreds + tens = + =
4 hundreds + 17 tens = hundreds + tens = + =
5 hundreds + 23 tens = hundreds + tens = + =
6 hundreds + 32 tens = hundreds + tens = + =
7 hundreds + 15 tens = hundreds + tens = + =

8 hundreds + 17 tens = hundreds + tens = + =
9 hundreds + 23 tens = hundreds + tens = + =

4. Fill in the boxes as in the given example:

2 hundreds + 13 tens + 5 ones = 2 hundreds + 10 tens + 3 tens+ 5 ones
= 2 hundreds + 1 hundred+ 3 tens+ 5 ones
= 3 hundreds + 3 tens + 5 ones
= 300 + 30 + 5 = 335

94 Approved by CDC Mathematics 2

2 hundreds + 15 tens + 7 ones = hundreds + tens + tens+ ones
= hundreds + hundred+ tens+ ones
= hundreds + tens + ones
= +=
+

3 hundreds + 23 tens + 6 ones = hundreds + tens + tens+ ones
= hundreds + hundred+ tens+ ones
= hundreds + tens + ones
= +=
+

5. Complete the following. One has been done for you.

2 hundreds + 12 tens + 14 ones
= 2 hundreds + 10 tens + 2 tens + 10 ones + 4 ones

= 2 hundreds + 1 hundreds + 2 tens + 1 ten + 4 ones
= 3 hundreds + 3 tens + 4 ones
= 300 + 30 + 4 = 334

3 hundreds + 15 tens + 16 ones ones + ones
= hundreds + tens + tens +

= hundreds + hundreds + tens + ten + ones

= hundreds + tens + ones

= + +=

3 hundreds + 15 tens + 16 ones ones + ones
= hundreds + tens + tens +

= hundreds + hundreds + tens + ten + ones

= hundreds + tens + ones

= + +=

Mathematics 2 Approved by CDC 95

Addition of two digit numbers with carrying

Study and learn.

To add 48 and 37: Steps:
• First add the digits of ones together
TO group of pencils 48 8 ones + 7 ones
group of pencils 37 = 15 ones = 1 ten and 5 ones.
1 Then in the column of ones write 5.
group of pencils 85
48 = 8 tens + 5 ones • Write 1 ten in the column of tens.
= 85
+37 • Add the digits of tens together.
7 15 1 ten + 4 tens + 3 tens
85 = 8 tens.

See, feel and do.

Perform the following additions:

T O T O T O T O

1 1 1 1

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

7 12

8 2

T O T O T O T O

1 1 1 1

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

T O T O T O T O

1 1 1 1

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

96 Approved by CDC Mathematics 2

Addition with carryover of two digit up to
three addends.

Study and learn.

1 ten is carried over 3 tens + 2 ones
to tens place +2 tens + 9 ones

5 tens 11 ones

1 ten 1 one
6 tens + 1 one = 60 + 1 = 61

T O 2 tens + 3 ones
4 tens + 7 ones
1 3 +1 tens + 5 ones
2 7 7 tens 15 ones
6 4 10
1 ten 5 ones
+1 5 8 tens + 5 ones = 80 + 5 = 85
7 1 5
=85

Perform the following additions as shown as in the example
below:

T O T O T O T O T O
3 4 3 4 4 5 1 7
1 2 5 4 5 3 6 5 5
1 4
+3 8 +2 9 +1 8 +2 6
3 7

+2 6

6 17

77

T O T O T O T O T O
2 3 2 8 4 4 1 8 4 3
1 6 1 4 1 6 3 3 1 9

+3 5 +3 5 +3 2 +2 5 +2 8

Mathematics 2 Approved by CDC 97

Do the following sums as in the given example:

There are 16 boys and 18 girls in a class. 1

How many students are there altogether in the 16
class? +18

There are 34 students altogether. 2 14

34

There are 35 mangoes and 28 apples in two 35
different baskets. How many fruits are there +28
altogether?
47
There are fruits altogether. +48

An English drama book has 47 pages and a Nepali
drama book has 48 pages. How many pages are
there in two books altogether?

There are pages.

The cost of a packet of 12 pencils is Rs. 38 and +
the cost of a pen is Rs. 45. What is the total cost
of both items. 35
43
The total cost is . +19

Ramu scored 35 marks in Nepali, 43 marks in science
and 19 marks in computer. Find the total marks
scored by him in three subjects.

Altogether he scored marks.

Three boys Hari, Pashang and Lakhan have Rs. +
75, Rs. 84 and Rs. 65 respectively. How much
money do they have altogether?

They have altogether.

98 Approved by CDC Mathematics 2

Addition of three digit numbers with carry over

Study and learn.

Furma and Dolma are two sisters. Furma studies in class 5 and Dolma
studies in class 2.

Dolma, can you add Yes, I can
457 and 236?

Ok, show your H T O
addition process.
4 5 7 Why not?
No, it’s wrong. + 2 3 6
Why?
6 8 13

First, we add 7 ones and 6 ones. It is 13 ones.
13 ones = 1 ten + 3 ones.
Write 3 at ones place and 1 ten carry to tens place.
Then we add together 1 ten, 5 tens and 3 tens. It is 9 tens.
Then we add together 4 hundreds and 2 hundreds. It is 6 hundreds.

H T O carry over
1
Now, I understand.
4 5 7 Thank you for your guidance

+ 2 3 6 my sister.

6 8 13

= 6 9 3

Now, do you
understand Dolma?

Add: 368 and 426. H T O
Very good Dolma! 1

Mathematics 2 3 6 8 8 ones + 6 ones = 14 ones
+ 4 2 6 14 ones = 1 ten + 4 ones
= 7 8 14

7 9 4

Approved by CDC 99

Add the following:

H T O H T O H T O H T O
3 2 7 4 5 6
1 2 5 6 + 4 5 4 + 3 1 7
+ 3 2 5
3 4 7 H T O H T O
+ 2 3 8 2 3 9 3 5 7
+ 4 2 5 + 2 2 7
5 7 15

5 8 5

H T O H T O

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

My dear Study and learn. Yes, I can.
sister Dolma,
Can you add No, it’s also wrong. H T O
Now, look at the process.
568 and 1
256?
5 6 8
+ 2 5 6

7 12 4

First, we add 8 ones and 6 ones, together as
8 ones + 6 ones = 14 ones
= 1 ten + 4 ones

Write 4 at ones place and 1 ten carry to ten’s place.
Then we add tens together.
1 ten + 6 tens + 5 tens = 12 tens
= 1 hundred + 2 tens

Write 2 at tens place and 1 hundred carry to hundreds place
Then we add hundreds together.
1 hundred + 5 hundreds + 2 hundreds = 8 hundreds.

100 Approved by CDC Mathematics 2