Write in the expanded form as shown:
396 = 300 + 90 + 6
443 = + +
109 = + +
240 = + +
161 = + +
437 = + +
368 = + +
282 = Hundreds + Tens + Ones
225 = Hundreds + Tens + Ones
308 = Hundreds + Tens + Ones
Write in the standard form as shown:
200 + 50 + 2 = 252
400 + 40 + 3 =
300 + 00 + 5 =
100 + 70 + 0 =
400 + 80 + 5 =
200 + 20 + 7 =
300 + 30 + 6 =
2 Hundreds + 8 Tens + 1 Ones =
4 Hundreds + 5 Tens + 6 Ones =
7 Hundreds + 1 Ones =
kf7\oqmd ljsf; s]Gba| f6 :jLst[ Oasis School Mathematics Book-2 51
Place value of a number I know hundreds tens and
ones are the places of three
Look and learn. digit numbers. Place value
of a digit = digit × its place
4, 18 and 263
In these numbers
4, 8 and 3 are in the place of ones.
Place value of 4 in 4 is 4.
Place value of 8 in 18 is 8.
Place value of 3 in 263 is 3.
Again, Place value of 1 in 18 is 1 ten or 10.
In 18, 1 is in the place of Ten. Place value of 6 in 263 is 6 tens or 60.
In 263, 6 is in the place of Ten.
Again, Place value of 2 in 263 is 2 hundreds or 200.
In 263, 2 is in the place
of hundred.
68
Place value of 6 = 6 tens = 60. Place value of 8 = 8 ones = 8.
359
Place value of 3 = 300 =3hundred. Place value of 9 = 9 ones = 9.
Place value of 5 = 5 tens = 50
52 Oasis School Mathematics Book-2 kf7\oqmd ljsf; s]Gba| f6 :jLst[
Write the place value of the coloured digits:
53 = ........ 65 = ........ 23 = ........
489 = ........
324 = ........ 236 = ........ 164 = ........
254 = ........
57 = ........ 68 = ........
386 = ........ 165 = ........
Write the place value of the following numbers.
19 2 25 6
100 2
90
36 8 40 2
34 6 26 0
45 7 63
29 8 30 8
48 2
58
kf7\oqmd ljsf; sG] ba| f6 :jLs[t Oasis School Mathematics Book-2 53
Numbers from 500 to 1000 510
Write the numbers from 501 to 600. 580
501 600
515 834
569
531 898
544 603
555 723
872
561 699
585 kf7o\ qmd ljsf; sG] ba| f6 :jLs[t
Write the number that comes just after:
520 726
646 955
677 784
993 510
Write the number that comes just before:
508 612
530 659
981 594
54 Oasis School Mathematics Book-2
Write the number that comes in between: 837 839
916 918
652 654 922 924 609 611
703 705 931 933
789 791 507 509
Write the number name of the following numerals:
562 684
716 807
993 569
Write the correct number:
Five hundred and twenty three
Six hundred and seven
Seven hundred and thirty nine
Eight hundred and fifty five
Six hundred and eighteen
Write in expanded form as shown:
523 = 5 Hundreds + 2 Tens + 3 Ones
614 = Hundreds + Tens + Ones
713 = Hundreds + Tens + Ones
809 = Hundreds + Tens + Ones
Write in expanded form as shown:
524 = 500 + 20 + 4
634 = + +
709 = + +
840 = + +
kf7\oqmd ljsf; sG] ba| f6 :jLs[t Oasis School Mathematics Book-2 55
Order of numbers
Look and learn.
551 552 553 554 555 556 557 558 559 560
Fill in the missing numbers.
623 626 629 630
760 761 764 767
918 922 925
Write the next 8 numbers.
554
612 620
739
703 856
826 kf7\oqmd ljsf; sG] ba| f6 :jLs[t
986
Write the previous 8 numbers.
56 Oasis School Mathematics Book-2
Counting by skipping While skipping by 2’s
skip by 2 in the place
Look and learn.
of ones.
Counting forward by 2’s
+2 +2 +2 +2
162 164 166 168 170
Write the next 4 numbers.
415 417 419
592 594 596
610 612 614
703 705 707 +5 I understand, I have to
skip by 5 in Ones place.
Counting forward by 5’s
+5 +5 +5
135 140 145 150 155
–5 –5 –5 –5
Write the next 4 numbers.
210 215 220
350 355 360
465 470 475
625 630 635
kf7o\ qmd ljsf; sG] b|af6 :jLs[t Oasis School Mathematics Book-2 57
Counting forward by 10’s. Skip by one in the
place of tens.
Look and learn.
+10
+10 +10 +10
120 130 140 150 160
–10
–10 –10 –10
Write the next 4 numbers.
310 320 330
433 443 453
816 826 836
504 514 524
Counting forward by 100’s
+100 +100 +100 +100 Skip in the place of
hundreds.
110 210 310 410 510
–100 –100 –100 –100
Write the next 4 numbers.
200 300 400
216 316 416
323 423 523
221 321 421
384 484 584
58 Oasis School Mathematics Book-2 kf7\oqmd ljsf; s]Gb|af6 :jLs[t
Unit Evaluation Full Marks: 30
1. Form a number: 4
Hundreds Tens Ones =
Hundreds Tens Ones =
2. Write in expanded form: 4
387 = + + Ones
Ones
450 = + +
492 = Hundreds + Tens +
Tens +
807 = Hundreds +
3. Write the number which comes just after: 4
132 168 345 289
kf7o\ qmd ljsf; sG] ba| f6 :jLst[ Oasis School Mathematics Book-2 59
4. Write the number which comes just before: 237 4
207 514 890 4
5. Write the number name of: 4
512 6
208
362
933
6. Write the correct number:
Three hundred and twenty-six
Two hundred and seventy-nine
Five hundred and ninety
Eight hundred and seventy-seven
7. Complete the patterns:
210, 220, 230
155, 255, 355
105, 107, 109
150, 155, 160
60 Oasis School Mathematics Book-2 kf7\oqmd ljsf; sG] b|af6 :jLst[
Our
Community
Contents
• Comparison of Number
• Odd and Even Number
• Devanagari Numbers
• Weight
kf7o\ qmd ljsf; sG] b|af6 :jLs[t Oasis School Mathematics Book-2 61
Comparison of Numbers
Look and learn.
Comparison of two-digit numbers with three digit numbers
Let’s take any two numbers. For example; 72 and 163. 72 has two
digits. 163 has three digits.
HTO HTO
72 163
72 163
163 is greater than 72. > is greater than
163 > 72 is greater than
Remember !
A number of 3 digits is greater than the number of 2 digits.
Use > (is greater than, is < less than) or = (equal I know a number of three
to) signs: digits is greater than the
number of two digits.
62 139 264 88
45 134 16 163
168 189 239 93
346 54 52 148
62 Oasis School Mathematics Book-2 kf7o\ qmd ljsf; sG] ba| f6 :jLst[
Comparison of three-digit numbers
When the digits at the hundred place are different:
I have 263 rupees. I have 142 rupees.
Who has more money?
HTO HTO
263 142
263 142
Both of them have 3 digits.
Compare the digit in the place of hundreds 2 > 1.
263 > 142.
Remember !
If two numbers have 3 digits each, compare the digit in the
hundreds place.
Compare the digits at the hundreds place and use < or > sign:
264 384 I know the number with 261 144
greater digit in hundreds
463 594 place is greater. 363 264
182 212 184 284
364 435 903 763
583 263 555 643
kf7o\ qmd ljsf; sG] b|af6 :jLs[t Oasis School Mathematics Book-2 63
When the digits in hundreds place are same:
I am 283. I am 294.
HTO Who is greater? HTO
283 294
Compare tens digits, 8 < 9
283 < 294.
Remember !
If the digits in the hundreds place are same, compare the digits of
tens place.
Compare the digits at tens place and use < or > sign:
184 173 If the digits in the 962 954
265 274 hundreds place are the 834 863
384 367 763 732
284 253 same, compare
846 857 tens-digits.
624 656
684 673
64 Oasis School Mathematics Book-2 kf7o\ qmd ljsf; s]Gba| f6 :jLst[
When the digits in hundreds and tens place are same:
I scored 462 runs. I scored 467 runs.
HTO HTO
462 467
Parash Who scored more runs? Gyanendra
Compare Ones digits, I understand, if the
2 < 7, then 462 < 467 Hundreds and Tens
digits are same, I have to
Compare ones digit and use < or > sign: compare Ones digits.
332 337 663 669
449 447 773 774
219 214 869 863
408 402 992 997
512 518 569 561
Compare the numbers using >, < or = :
462 572 962 961 First compare the digits in
352 368 523 435 Hundreds, then compare
567 562 629 737 the digits in Tens and then
895 893 823 922
863 842 524 516 the digits in Ones.
749 742 217 217
kf7\oqmd ljsf; s]Gba| f6 :jLs[t Oasis School Mathematics Book-2 65
Circle the smallest number: Circle the largest number:
279 132 369 223 564 825
432 263 137 165 432 327
662 667 668 864 523 684
532 523 516 916 984 907
312 369 308 821 832 837
Arrange the given numbers in ascending order:
164 152 172 I can do it, it is the
263 332 192 arrangement from
smaller to bigger
number.
372 463 512
462 633 411
553 557 551
Arrange the given numbers in descending order:
138 132 135 It is an arrangement
262 384 323 from the bigger to
the smaller number.
182 187 467
243 387 322
622 784 823
66 Oasis School Mathematics Book-2 kf7o\ qmd ljsf; sG] b|af6 :jLst[
Odd and even numbers
Look and learn.
Odd and Even numbers a pair 2 pairs 3 pairs
Even number - It is a paired number.
2, 4, 6, 8 are even
Odd number - It is not a paired number. no pair no pair no pair
1, 3, 5, 7, 9 are odd
In 13 268 I can identify
an odd or an
3 is odd 8 is even even number.
Focus should be
∴ 13 is an odd number. ∴ 268 is an even number. on Ones digit.
Remember !
• 2, 4, 6, 8 are even numbers.
• 1, 3, 5, 7, 9 are odd numbers.
• If 0, and even numbers are in place of ones, that number is even.
• If odd number is in the place of ones, that number is odd.
Colour the odd numbers green and even numbers blue.
7 51 3 162
18 84 9 543
23 63 4 200
46 92 37 389
60 21 215 215
kf7o\ qmd ljsf; s]Gb|af6 :jLs[t Oasis School Mathematics Book-2 67
286
Number in the Ones place is 6
Which is even
286 is an even number
543
Number in the Ones place is
Which is
686 543 is an
Number in the Ones place is
Which is
686 is an
397
Number in the Ones place is
Which is
568 397 is an
Number in the Ones place
Which is
568 is an
Circle the even numbers. 125 132 193
362 522 163
52 67 804 171 26
920 281
624 169 kf7o\ qmd ljsf; s]Gba| f6 :jLs[t
68 Oasis School Mathematics Book-2
Activity Our Community
Daily expenditure of a household in our community is given below:
Write 'E' if their expenditure is even and 'O' if their expenditure is odd.
Razzak's home Rs. 585
John's home Rs. 780
Ram Bharosh's home Rs. 653
Shankar's home Rs. 834
Pasa's home Rs. 942
Mingma's home Rs. 387
Write their expenses in ascending order.
Write their expenses in descending order.
kf7o\ qmd ljsf; sG] b|af6 :jLs[t Oasis School Mathematics Book-2 69
Devnagari Numbers
Look and learn.
:yfgdfg tflnsf @*!
;o bz Ps
@*! bO' { ;o Psf;L
bO' { ;o Psf;L
lbOPsf ;+Vofx?sf] gfd nv] M
!*$ =
#^( =
%@$ =
#)& =
!^% =
lbOPsf ;+Vofx?nfO{ :yfgdfg tflnsfdf e/ / logLx?sf] gfd cIf/df
nv] M
;o bz Ps
!%$
;o bz Ps
@#@
;o bz Ps
$)&
;o bz Ps
%((
70 Oasis School Mathematics Book-2 kf7\oqmd ljsf; sG] ba| f6 :jLst[
!)! bl] v @)) ;Ddsf ;+VofnfO{ bj] gfu/Ldf n]v M !@)
!)! !$)
!@%
!%!
!*)
!(! @))
lbOPsf] ;V+ ofsf] gfdaf6 ;+Vof n]v M
rf/ ;o kGw| 5 ;o lqxQ/
;ft ;o Ps;67L kfrF ;o c7rfln;
gf} ;o ;t+} L; bO' { ;o 5kGg
Ps ;o krf;L b'O{ ;o rfln;
kf7\oqmd ljsf; sG] b|af6 :jLs[t Oasis School Mathematics Book-2 71
Activity Finding the path.
• Find out the path to Patlu’s home • Find out the path to Motu’s
from Motu’s home. home from Yumiko’s home.
Colour the path red. [Always Colour the path blue. [Always
move to the bigger number.] move to odd numbers.]
• Find out the path to Patlu’s home • Find out the path to Yumiko’s
from Ninja’s home. home from Ninja’s home.
Colour the path yellow. [Always Colour the path green. [Always
move to even numbers.] move to the smaller number.]
Patlu’s home Yumiko’s home
998 887
886 212 135
512 304 737 221 621
997 113 464 434 398
67 398 411 406 409
101 384 267 484 700
Motu’s home Ninja’s home
72 Oasis School Mathematics Book-2 kf7\oqmd ljsf; s]Gba| f6 :jLst[
Unit Evaluation Full Marks: 15
1. Compare the given numbers and use <, > or = in suitable place. 3
263 384 98 582 783 485
726 723 856 843 288 283
2. Arrange the given numbers in ascending order: 3
3
256, 258, 251 6
326, 584, 269
3. Arrange the given numbers in descending order:
145, 123, 168
225, 365, 415
4. Write E for even number and O for odd numbers:
1 2 5 136 158 183
2 0 0 203 504 512
6 2 3 450 65 672
kf7o\ qmd ljsf; sG] b|af6 :jLst[ Oasis School Mathematics Book-2 73
Weight
Look and learn.
I can compare the weight.
Compare the weight of a Compare the weight of a
book and a pencil. hen and an egg.
A book has more weight A hen has more weight
than a pencil. than an egg.
An object having less weight is a lighter object.
An object having more weight is a heavier one.
Write (H) for heavier objects and (L) for lighter ones:
74 Oasis School Mathematics Book-2 kf7o\ qmd ljsf; s]Gba| f6 :jLst[
Measurement of weight
Look and learn.
Weight of the object is measured in gram (gm) and kilogram (kg).
1 kg = 1000 gm
50 gm 100 gm 200 gm 500 gm 1 kg 2 kg 5 kg
Write the total weight of:
Answer the following questions: Oasis School Mathematics Book-2 75
• How many 500 gms are equal to 1 kg?
• How many 200 gms are equal to 1 kg?
• How many 100 gms are equal to 1 kg?
kf7\oqmd ljsf; s]Gba| f6 :jLst[
2 . Write the weight of given object
Weight of an Weight of a
orange = mango =
Weight of a Weight of
carrot = potatoes =
Weight of a Weight of a
pumpkin = watermelon =
76 Oasis School Mathematics Book-2 kf7\oqmd ljsf; s]Gba| f6 :jLst[
3. Measure the weight of the given objects:
What is the weight of this cauliflower? It is 300 gm.
Weight of a cauliflower
= 200 gm + 100 gm = 300 gm
Complete as above:
Weight of tomatoes gm
= gm + gm =
Weight of apples gm = gm
= gm + gm =
Weight of rice kg = kh
= kg +
Weight of potatoes kg
= kg + kg =
kf7\oqmd ljsf; sG] b|af6 :jLs[t Oasis School Mathematics Book-2 77
Relation between kg and gm I understand. To convert kg
into gm, I have to multiply kg
Look and learn.
by 1000.
Conversion of kg into gm
gm
1 kg = 1000 gm gm
2 kg = 2 × 1000 gm = 2000 gm gm 1 kg 250 gm = 1250 gm
3 kg = × gm = 2 kg 500 gm = 2500 gm
4 kg = × gm = gm
5 kg = × gm =
6 kg = × gm = My logic! Simply, remove
kg from the first part.
Conversion of kg and gm into gm: I can get it in gm.
1 kg 300 gm = 1300 gm 1200 gm = 1 kg 200 gm
1 kg 500 gm = gm 1600 gm = 1 kg 600 gm
2 kg 200 gm = gm
3 kg 350 gm = gm It's simple, last three-digits
2 kg 500 gm = gm represent gm. The remaining
3 kg 200 gm = gm
digit represents kg.
Conversion of gm into kg and gm:
kf7o\ qmd ljsf; s]Gba| f6 :jLst[
1200 gm = 1 kg 200 gm
1400 gm = kg gm
1600 gm = kg gm
1800 gm = kg gm
2200 gm = kg gm
2500 gm = kg gm
78 Oasis School Mathematics Book-2
Addition and subtraction of kilogram (kg) and grams (gm)
Look and learn. Add kg and gm separately. 72 kg 480 gm
- 46 kg 320 gm
12 kg 300gm 26 kg 160 gm
+ 18 kg 250gm
30 kg 550 gm
Subtract kg and gm separately.
Add:
25 kg 250 gm 212 kg 350gm 68 kg 550gm
+ 24 kg 240 gm + 318 kg 150 gm + 82 kg 275 gm
175 kg 620 gm 224 kg 520 gm 345 kg 470 gm
+ 274 kg 140 gm + 328 kg 440 gm + 220 kg 415 gm
Subtract: 72 kg 560 gm 65 kg 320 gm
58 kg 465 gm - 48 kg 480 gm - 38 kg 140 gm
- 42 kg 235 gm
318 kg 600 gm 417 kg 560 gm 615 kg 440 gm
- 156 kg 410 gm - 325 kg 420 gm - 335 kg 275 gm
kf7o\ qmd ljsf; sG] ba| f6 :jLs[t Oasis School Mathematics Book-2 79
Unit Evaluation Full Marks: 10
1. Write (H) for heavier object and (L) for lighter object. 2
2. Write the weight of given objects. 2
3. Write the weight of given objects. 2
4. Convert into kg and gm. 2
1450 gm = kg gm 2250 gm = kg gm
5. Fill in the blanks. 2
1 kg = gm 2 kg = gm
kg = 3000 gm kg = 4000 gm
80 Oasis School Mathematics Book-2 kf7\oqmd ljsf; s]Gb|af6 :jLst[
Fundamental Operations
on Mathematics-I
Contents
• Addition
• Subtraction
kf7o\ qmd ljsf; s]Gb|af6 :jLst[ Oasis School Mathematics Book-2 81
Addition
Basic preparation for addition
Add: 2 2 2 3 3 3
+ 4 + 5 + 6 + 7 + 4 + 5
4 4 1
+ 6 + 3 + 6
4
+ 2
Complete as shown:
6+3 7 + ... 3 + ...
8+1 9 4+5 5+ ... 8 6 + ... 6+ ... 7 4 + ...
7+2 4 + ... 5 + ...
7 + ... 4 + ... 3 + ...
5+ ... 10 6 + ... 3+ ... 6 1 + ... 6+ ... 11 4 + ...
8 + ... 2 + ... 7 + ...
82 Oasis School Mathematics Book-2 kf7o\ qmd ljsf; s]Gba| f6 :jLst[
Addition of 3 single-digit numbers
4 8 1+3=4
4+4=8
1 + 3 + 4 =
Add:
2 + 4 + 5 = 5 + 0 + 3 =
1 + 7 + 2 = 2 + 2 + 2 =
3 + 2 + 4 = 1 + 4 + 1 =
5 + 1 + 3 = 2 + 4 + 3 =
3 + 6 + 5 = 2 + 2 + 3 =
Addition of two-digit numbers with a single digit number
Add: 3 4 It is an easy sum.
+ 4
3 8 Steps
- add ones: 4 + 4 = 8
- add tens : 3
6 3 2 3 5 2 1 7 5 0
+ 4 + 4 + 3 + 2 + 4
4 2 4 5 5 3 8 2 8 3
+ 5 + 3 + 6 + 6 + 3
kf7\oqmd ljsf; sG] b|af6 :jLst[ Oasis School Mathematics Book-2 83
Basic preparation
Mental addition
Add: 45 + 4 Keep 45 in your mind.
Keep 4 in your hand.
Count 4 Steps forward from 45.
46, 47, 48, 49
∵ 45 + 4 = 49
Keep bigger number in your mind and
smaller number in your hand.
Add mentally: 42 35 is in my mind, 7 is in my hand.
35 + 7 = 36, 37, 38, 39, 40, 41, 42
56 + 7 = Answer is 42.
42 + 6 =
35 + 8 = 63 + 5 =
26 + 5 = 46 + 3 =
18 + 4 = 59 + 8 =
19 + 7 =
36 + 9 =
47 + 6 =
Write the number which is:
1 more than 25 2 more than 52
5 more than 35 2 more than 85
10 more than 28 10 more than 36
5 more than 56 5 more than 22
84 Oasis School Mathematics Book-2 kf7\oqmd ljsf; sG] b|af6 :jLs[t
Addition of two digit numbers
Look and learn.
T O Steps It is a simple
3 4 - Add Ones: 4 + 4 = 8 addition. We have
+ 2 4 - Add Tens : 3 + 2 = 5
5 8 to add tens and
ones separately.
Add:
T O T O T O T O
2 6 5 2 6 3 2 4
+ 5 0 + 2 3 + 1 6 + 4 2
T O T O T O T O
3 1 5 4 3 7 7 2
+ 1 2 + 2 3 + 1 2 + 1 3
T O T O T O T O
3 0 4 5 6 3 1 5
2 1 3 2 1 2 3 2
+ 1 2 + 1 2 + 1 4 + 4 2
6 3
T O T O T O
T O 1 1 2 4 2 6
5 0 2 3 5 0 1 2
1 3 + 5 2 + 1 2 + 3 1
+ 2 5
kf7o\ qmd ljsf; sG] b|af6 :jLs[t Oasis School Mathematics Book-2 85
Regrouping the numbers
Look and learn.
There are 10 ones.
If we combine them,
It is 1 Ten. 10 Ones = 1 Ten
Let’s regroup a number 22.
22 Ones 2 Tens and 2 Ones
Hence, 22 Ones = 2 Tens and 2 Ones
Regroup as above:
........ Ones = ........ Tens + . ....... Ones
........ Ones = ........ Tens + . ....... Ones
........ Ones = ........ Tens + . ....... Ones kf7\oqmd ljsf; sG] ba| f6 :jLst[
86 Oasis School Mathematics Book-2
Regroup as Tens and Ones: 34 Ones
15 Ones = ........ Tens + ........ Ones
23 Ones = ........ Tens + ........ Ones 3 Tens 4 Ones
27 Ones = ........ Tens + ........ Ones
30 Ones = ........ Tens + ........ Ones
34 Ones = ........ Tens + ........ Ones
28 Ones = ........ Tens + ........ Ones
Regroup as Tens and Ones:
2 Tens + 13 Ones = ....2.... Tens + ....1.... Tens + .....3... Ones
= 3 Tens + 3 Ones
3 Tens + 12 Ones = ........ Tens + ........ Tens + ........ Ones.
= ........ Tens + ........ Ones
1 Tens + 16 Ones = ........ Tens + ........ Tens + ........ Ones.
= ........ Tens + ........ Ones
4 Tens + 18 Ones = ........ Tens + ........ Tens + ........ Ones.
= ........ Tens + ........ Ones
5 Tens + 11 Ones = ........ Tens + ........ Tens + ........ Ones.
= ........ Tens + ........ Ones.
Add and regroup into Tens and Ones:
8 Ones + 6 Ones = Ones = Tens + Ones
7 Ones + 4 Ones = Ones = Tens + Ones
6 Ones + 7 Ones = Ones = Tens + Ones
7 Ones + 9 Ones = Ones = Tens + Ones
8 Ones + 8 Ones = Ones = Tens + Ones
kf7o\ qmd ljsf; sG] b|af6 :jLs[t Oasis School Mathematics Book-2 87
Addition (with carry-over)
Look and learn. Steps
3 Tens + 6 Ones - Add Ones : 6 Ones + 7 Ones =
+ 5 Tens + 7 Ones 13 Ones
8 Tens + 13 Ones - Add Tens : 3 Tens + 5 Tens = 8
Tens
= 8 Tens + 1 Tens + 3 Ones Regroup 13 Ones
= 9 Tens + 3 Ones - 13 Ones = 1 Tens + 3 Ones
- Add Tens
(8 + 1) Tens = 9 Tens + 3 Ones
Add as above: 5 Tens + 6 Ones
+ 2 Tens + 5 Ones
4 Tens + 6 Ones
+ 3 Tens + 5 Ones ........ Tens + ........ Ones
........ Tens + ........ Ones
= ........ Tens + ........ Tens + ........ Ones = ........ Tens + ........ Tens + ........ Ones
= ........ Tens + ....... Ones = ........ Tens + ....... Ones
6 Tens + 7 Ones 3 Tens + 7 Ones
+ 2 Tens + 5 Ones
+ 3 Ones
........ Tens + ........ Ones
........ Tens + ........ Ones
= ........ Tens + ........ Tens + ........ Ones = ........ Tens + ........ Tens + ........ Ones
= ........ Tens + ....... Ones = ........ Tens + ....... Ones
88 Oasis School Mathematics Book-2 kf7\oqmd ljsf; s]Gb|af6 :jLst[
Addition with carry-over
Look and learn. Steps I understand how to
take carry-over.
Carry over T O
1 Add Ones
2 5
+ 3 6 5+6=11 Ones = 1 Tens + 1 Ones,
6 1
write 1 in Ones place
Add:
Carry over 1 Tens
Add Tens
1+2+3=6 Tens
T O T O T O T O
5 6 3 7 4 6 5 3
+ 7 + 5 3 + 3 7 + 2 8
T O T O T O T O
7 2 6 8 5 6 2 9
+ 1 9 + 1 8 + 2 5 + 2 8
T O T O T O T O
1 7 3 7 4 5 3 9
+ 6 8 + 3 8 + 4 8 + 5 2
kf7\oqmd ljsf; sG] b|af6 :jLs[t Oasis School Mathematics Book-2 89
Addition with carry-over (continued)
Look and learn.
Now, I can add 12 Ones = 1 Tens + 2
Ones
without using Carry over
Tens and Ones.
1 Steps
4 8 Add Ones: 8 + 4 = 12
Write 2 at Ones, carry-over 1
+ 2 4 Add Tens: 1 + 4 + 2 = 7
Add the following: 7 2
7 8 5 6 1 8 2 7
+ 1 3 + 2 4 + 2 9 + 2 6
3 7 4 8 4 9 5 8
+ 1 4 + 4 2 + 1 3 + 6
6 9 7 6 8 4 1 2
+ 5 + 4 + 9 + 3 9
5 5 6 7 7 2 2 8
+ 2 5 + 1 4 + 1 8 + 3 7
6 3 5 7 6 8 5 7
+ 3 8 + 2 8 + 2 3 + 3 4
90 Oasis School Mathematics Book-2 kf7\oqmd ljsf; sG] ba| f6 :jLst[
Addition of three digit numbers (without carry-over)
Look and learn.
It is simply addition H T O Add Ones:
of Hundreds, Tens 5 2 3 3+4=7
+ 2 1 4 Add Tens:
and Ones. 2+1=3
7 3 7 Add Hundreds:
5+2=7
Add the following: H T O H T O
3 4 1 6 2 4
H T O + 4 2 3 + 2 3 4
2 3 4
+ 1 2 3
H T O H T O H T O
1 3 5 2 4 6 4 1 6
+ 2 6 3 + 2 1 2 + 2 3 0
H T O H T O H T O
5 2 3 2 7 4 3 2 1
+ 4 0 4 + 3 0 5 + 1 4 6
H T O H T O H T O
8 0 1 3 6 7 1 3 4
+ 1 5 6 + 3 1 1 + 2 4 5
kf7\oqmd ljsf; sG] ba| f6 :jLs[t Oasis School Mathematics Book-2 91
Regrouping Tens and Hundreds +
Look and learn.
=
13 Tens = 10 Tens + 3 Tens
= 1 Hundreds
1 6 Tens = 1 Hundreds + 6 Tens
Hundreds Tens
Regroup as Hundreds and Tens:
16 Tens = Hundreds + Tens
Tens
18 Tens = Hundreds + Tens
Tens
23 Tens = Hundreds + Tens
Tens
27 Tens = Hundreds +
19 Tens = Hundreds +
20 Tens = Hundreds +
Add and regroup into Hundreds and Tens.
3 Tens + 8 Tens = Tens = Hundreds + Tens
Tens
5 Tens + 7 Tens = Tens = Hundreds + Tens
Tens
6 Tens + 9 Tens = Tens = Hundreds +
8 Tens + 3 Tens = Tens = Hundreds +
92 Oasis School Mathematics Book-2 kf7o\ qmd ljsf; sG] ba| f6 :jLst[
Addition of three digit numbers (with carry-over)
Look and learn. Steps
2 Hundreds + 8 Tens + 6 Ones Add Ones: 6 Ones + 5 Ones = 11
+ 3 Hundreds + 7 Tens + 5 Ones Ones
5 Hundreds + 15 Tens + 11 Ones 11 Ones = 1 Tens + 1 Ones
Add Tens: 8 Tens + 7 Tens = 15 Tens
= 1 Hundreds + 5 Tens
Add Hundred: 2 Hundreds + 3
Hundreds = 5 Hundreds
5 Hundreds + 1 Hundreds + 5 Tens + 1 Tens + 1 Ones
= 6 Hundreds + 6 Tens + 1 Ones It is simple.
I can do it.
Add as above:
3 Hundreds + 5 Tens + 7 Ones
+ 4 Hundreds + 6 Tens + 6 Ones
........ Hundreds + ........ Tens + ........ Ones
...... Hundreds + ..... Hundreds + ...... Tens + ...... Tens + ...... Ones
= ......... Hundreds + ......... Tens + ......... Ones
3 Hundreds + 5 Tens + 7 Ones
+ 2 Hundreds + 2 Tens + 5 Ones
........ Hundreds + ........ Tens + ........ Ones
...... Hundreds + ..... Hundreds + ...... Tens + ...... Tens + ...... Ones
= ......... Hundreds + ......... Tens + ......... Ones
kf7o\ qmd ljsf; s]Gba| f6 :jLs[t Oasis School Mathematics Book-2 93
Addition of three digit numbers (with carry-over)
Look and learn. Add Ones:
8+5=13 Ones
Carry over H T O = 1 Tens + 3 Ones,
1 1 Carry over carry-over 1 Tens
6 4 8 Add Tens:
+ 2 7 5 1+4+7=12 Tens
9 2 3 = 1 Hundreds + 2 Tens,
carry-over 1 Hundreds
Add Hundreds:
1+6+2=9
Add:
H T O H T O H T O H T O
2 3 7 4 6 8 3 3 6 4 3 5
+ 5 4 4 + 2 2 6 + 5 3 7 + 2 5 9
H T O H T O H T O H T O
4 6 8 4 0 9 2 8 9 6 8 2
+ 2 5 6 + 1 9 9 + 3 4 6 + 1 5 9
H T O H T O H T O H T O
5 2 7 5 3 8 1 8 2 3 6 4
+ 3 8 4 + 3 7 9 + 6 4 9 + 3 5 7
94 Oasis School Mathematics Book-2 kf7o\ qmd ljsf; s]Gba| f6 :jLs[t
Addition of three digit numbers with carry-over
(continued)
Look and learn.
Carry over Carry over Steps
Add Ones: 7 + 4 = 11 Ones
1 1 Write 1 at Ones place, carry-over 1 Tens.
5 8 4 Add Tens: 8 + 5 + 1 = 14 Tens
+ 3 5 7 Write 4 at Tens, carry over 1 Hundreds.
9 4 1 Add Hundreds: 5 + 3 + 1 = 9
Add:
3 2 7 6 2 6 4 1 2 6 4 6
+ 1 5 6 + 2 5 8 + 3 5 8 + 2 3 7
5 8 6 8 4 7 1 8 7 4 1 6
+ 3 7 5 + 8 3 + 9 3 + 9 6
5 0 8 6 5 6 5 9 8 5 6 5
+ 3 2 7 + 2 4 4 + 3 0 7 + 3 5 8
6 5 2 3 7 5 5 1 2 1 8 7
+ 2 5 8 + 2 3 5 + 2 0 8 + 2 5 3
5 6 7 4 6 8 6 4 6 3 8 0
+ 3 8 4 + 2 0 9 + 3 2 7 + 4 5 7
kf7\oqmd ljsf; s]Gb|af6 :jLs[t Oasis School Mathematics Book-2 95
Verbal Problems on Addition
Look and learn.
Words used in addition are:
Add Plus Sum Total Altogether
There were 167 boys and 1 1
187 girls in a school. How 1 6 7
many students were there + 1 8 7
altogether? 3 5 4
There were 354 students
altogether.
Sayara scored 93 in English
and 87 in Nepali. Find the
total marks obtained by
her.
She scored marks.
The cost of a doll is Rs. 356 kf7o\ qmd ljsf; s]Gba| f6 :jLs[t
and the cost of a watch is
Rs. 448. What is the total
cost of both?
Total cost of both is
Rs.
96 Oasis School Mathematics Book-2
There are 128 bananas and
246 mangoes in a shop. How
many bananas and mangoes
are there altogether?
There are bananas and
mangoes.
Aadhya has Rs. 475. Her
mother gave her Rs. 265.
How much money does
she have now?
She has Rs. now.
There are 284 flowers pots
with Marigold flower and
357 flower pots with Jasmine
flower in a Nursery. Find how
many flowers pots are there?
There are flower pots.
There are 528 Nobel books and
373 story books in a Library.
Find how many books are
there altogether in the Library?
There are books in Library.
kf7\oqmd ljsf; sG] b|af6 :jLst[ Oasis School Mathematics Book-2 97
Activity
Addition of two numbers using 1 to 100 chart of 10x10 grids
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 20
11 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100
To the teacher
• Using this chart, show the students how a number on the left of a given
number is 1 less and a number on the right of a given number is 1 more.
Give some examples. (e.g. 2 is 1 more than 1, 1 less than 3)
• Similarly, show the students how a number above a given number is 10
less and how a number below a given number is 10 more. Give some
examples.
• To add 43 + 24.
- Take counter and put it on 43.
- Go 2 steps down as 24 = 2 Tens + 4 Ones.
- Then go 4 steps right to cover is 4 Ones you will reach 67.
∵ 43+24=67
• Give many other additions to the students.
98 Oasis School Mathematics Book-2 kf7\oqmd ljsf; sG] ba| f6 :jLst[
Activity The number in each circle is the total of two
numbers below it. Write the numbers in each
circle.
3 5 7 9 3 3 3 2 4
1 2 3 4 5 2 1 2 1 1 3
5 33
2 31 4 17 16
3 7
1234 5 3
2
kf7o\ qmd ljsf; s]Gba| f6 :jLst[
100
60 40
40
25
15
Oasis School Mathematics Book-2 99
Unit Evaluation Full Marks: 30
1. Add: 2
4 + 3 = 2 + 6 = 7+0= 7+5=
2. Write the number which is: 2
1 more than 12 = 5 more than 22 =
100 more than 123 =
10 more than 34 =
3. Add: 1 3 7 3 2 5 4
+ 5 2 1 + 2 1 4
3 4 6 1 2
+ 1 2 + 5 0
4. Write the correct number in the box. 2
4
+ 6 = 12 9+ = 16
5. Regroup as Tens and Ones:
17 Ones = Ten + Ones
Tens + Ones
24 Ones = Ones
Tens + Ones
24 Ones + 5 Ones = Ones
Tens + Ones
=
4 Ones + 18 Ones =
=
100 Oasis School Mathematics Book-2 kf7o\ qmd ljsf; s]Gba| f6 :jLs[t