Maths Zone book 4 2077

2. Complete the given factor tree by the prime factors. (Use
pencil to complete the task)

a. 20 b. 45 c. 42

23

7

20= × × 45 = × × 42 = × ×

3. Find the prime factors by factor tree method.

a. 30 b. 51 c. 44 d. 75 e. 80

4. Find the prime factors by successive division method.

a. 8 b. 16 c. 27 d. 33 e. 48

f. 52 g. 60 h. 72 i. 80 j. 96

Maths Zone - Grade 4 51

Maths Fun

1. Find and write information about the total number of
population in your municipality, rural municipality or
urban municipality in which you are living or studying.

2. Write the population you mentioned above in National
system, International system and Devanagari system
separately in both numerals and words (number names).

3. Among 2, 3, 5, and 7, which number can exactly divide the
above mentioned population? Find out.

4. Also find out whether the population is even or odd number.

52 Maths Zone - Grade 4

Practice Zone

Group 'A'

Circle the correct option of the following questions.

1. The place value of 5 in 95040 is .............

a. 5040 b. 5000 c. 500 d. 95000

2. The predecessor of 1000 is .............

a. 1000 b. 999 c. 1001 d. 998

3. Which of the following is not prime number?

a. 3 b. 5 c. 7 d. 9

4. Which of the following number is exactly divisible by 3?

a. 434 b. 369 c. 121 d. 175

5. The smallest 1 digit number is

a. 0 b. 1 c. 9 d. 5

6. The successor of 99 is

a. 99 b. 100 c. 999 d. 98

7. In which numeration system we use commas after every
three digits from the right?

a. National system b. International system

c. Both a and b d. None of them

8. Which hundred is closer to 675?

a. 600 b. 700 c. 670 d. 675

9. How many even prime numbers are there?

a. 1 b. 2 c. 3 d. 4

10. rf/ nfv kfFr ;o krkGg ==============

a. $%%% b. $,)),%%% c. $,%),(%% d. $%%%))

Maths Zone - Grade 4 53

Group 'B'

1. Write in short form:
2 × 100000 + 0 × 10000 + 4 × 1000 + 7 × 1
2. Write in Expanded form of the number 579810.
3. Find the difference between the place values of 4 and 6 in

7490618.
4. Round off 47359 to the nearest tens, hundreds and

thousands.
5. Find the prime factors of 24 and 50.
6. The population of Nepal is 26494504 according to latest

census 2068 B.S.
a. Re-write the number using comma in both National

and international system.
b. Write this number in words (Number name) in both

systems.
c. Write this number in Devanagari and write the number

name in Nepali words.

54 Maths Zone - Grade 4

Answers of Unit 2

Exercise 2.2

1. a. 99,999 b. 10,00,000 c. 9,99,99,999
d. 1,00,000

2. a. FV = 3, PV = 30,00,000 or Thirty Lakhs
b. FV = 7, PV = 70,00,000 or Seventy Lakhs
c. FV = 4, PV = 4,00,00,000 or 4 Crores
d. FV = 8, PV = 8,00,00,000 or 8 Crores

3. a. 4,32,79,811  Four crores thirty two lakhs seventy nine
thousand eight hundred and eleven.

b. 42,00,972  Forty two lakhs nine hundred and seventy
two.

c. 4,23,45,678  Four crores twenty three lakhs forty five
thousands six hundred and seventy eight.

d. 2,02,53,040  Two crores two lakhs fifty three thousand and
forty.

4. a. T.L L T.Th Th H T O ∴ 55,33,222

55 3 3 2 2 2

b. C T.L L T.Th Th H T O ∴ 2,25,34,455
22 534 4 5 5

c. T.L L T.Th Th H T O ∴ 37,00,346

37 0 0 3 46

d. C T.L L T.Th Th H T O ∴ 7,00,55,926
70 055 9 2 6

e. C T.L L T.Th Th H T O ∴ 4,22,00,005
42 200 0 0 5
5. a.
6. a. ^),$%,#*) b. !,*%,#$,^!& c. %,%%,**,###
b.
rjGg nfv ;t;¶L xhf/ tLg ;o kRrL;

kt} L; nfv, qLrfnL; xhf/ bO' { ;o t]x|

Maths Zone - Grade 4 55

c. kfrF s/f8] pgG;Q/L nfv ;tf;L xhf/ b'O{ ;o kGw|

7. a. Smallest number = 1,23,457. Greatest Number = 7,54,321
b. S.N = 3,46,789 G.N = 9,87,643
c. S.N = 20,34,579, G.N = 91,54,320

d. S.N = 20,34,678 G.N = 87,64,320

Exercise 2.3

1. a. 426,719  Four hundred twenty six thousands seven
hundred and nineteen.

b. 223,345  Two hundred twenty three thousands three
hundred and forty five.

c. 1,872,436  One Million eight hundred seventy two
thousands four hundred and thirty six.

d. 7,740,826  Seven Million seven hundred forty thousands
eight hundred and twenty six.

e. Two hundred thirty four thousand four hundred and fifty nine.
f. One million five hundred eighty six thousand four hundred and
two.

2. a. H.Th T.Th Th H T O ∴ 3,46,524

3 4 6 5 24

b. M H.Th T.Th Th H T O ∴ 8,452,917

8 4 5 2 917

c. M H.Th T.Th Th H TO ∴ 7,412,059
7 4 12 0 59

d. M H.Th T.Th Th H T O ∴ 5,000,263
5 0 00 2 6 3

e. M H.Th T.Th Th H T O ∴ 74,19,262
7 4 19 2 6 2

3. a. Forty thousand b. Thirty thousand c. four million
d. Eight million e. Nine hundred thousand

f. Seven thousand

4. SN : 1, 000, 000 GN: 9, 99, 999 Sum : 1, 999, 999

One million Nine hundred ninty nine thousand nine hundred and ninty
nine.

56 Maths Zone - Grade 4

Exercise 2.4

1. (a) 20 (b) 50 (c) 320 (d) 4440 (e) 75650
2. (a) 300 (b) 600 (c) 5600 (d) 47900 (e) 67300
3. (a) 4000 (b) 7000 (c) 274000 (d) 74000 (e) 76000
4. Tens – 1280, Hundreds — 1300, Thousand – 1000

Exercise 2.5

1. (a) 2 (b) 2 (c) 1 (d) 2
2. a. Prime: 7, 13, 37, 41, composite: 4, 18, 27, 49
b. 2, 3, 5 and 7
c. 31, 37, 41 and 47
d. 15 prime number.
e. 20,21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40
f. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47,
3. Show to your teacher.

Exercise 2.6

1. by 2 : 40, 90, 324, 210 by 3 : 57, 324, 210
by 5 : 40, 90, 205, 210, 105 by 7 : 77, 343, 147
2. Show to your teacher.
3. (a) 30 = 2 × 3 × 5 (b) 51 = 3 × 17 (c) 44 = 2 × 2 × 11
(d) 75 = 3 × 5 × 5 (e) 80 = 2 × 2 × 2 × 2 × 2 × 5
4. (a) 8 = 2 × 2 × 2 (b) 16 = 2 × 2 × 2 × 2 (c) 27 = 3 × 3 × 3
(d) 33 = 3 × 11 (e) 48 = 2 × 2 × 2 × 2 × 3 (f) 52 = 2 × 2 × 13
(g) 60 = 2 × 2 × 3 × 5 (h) 72 = 2 × 2 × 2 × 3 × 3
(i) 80 = 2 × 2 × 2 × 2 × 5 (j) 96 = 2 × 2 × 2 × 2 × 2 × 3

Maths Zone - Grade 4 57

3 Basic Operation of
Mathematics

Specific Objective Prescribed by CDC

 To subtract a number from another number of 6 digits including some
practical word problems.

 To multiply three or more than three digit numbers by a number (up to
three digit).

 To solve the simple practical word problems related to multiplication.
 To divide a number (up to 5 digit) by a number (up to 3 digit).
 To solve simple practical word problems related to division.
 To solve the mixed simple practical word problems related to addition

and subtraction [using +, - , and ( ) ], no numbers will occur inside ( ).

58 Maths Zone – Grade 4

Addition

Combining two or more numbers together is called addition. The
numbers that are added are called addends and the result is
called sum.

Exercise - 3.1

1. Fill in the blanks. f. 7 + 0 = .............
a. 0 + 7 = 7

b. 6 + 5 = 11 g. 7 + ......... = 11

c. 12 + 8 = 20 h. 13 + ........ = 20

d. ...... + 6 = 15 i. 8 + ......... = 15

e. 7 + 6 = ...... + 9 j. 13 = 6 + ...........

2. Rearrange the following.
a. 7 ones + 6 ones = 13 ones = 1 ten + 3 ones

b. 12 ones + 5 ones = ....... ones = ....... ten + ....... ones

c. 15 ones + 8 ones = ....... ones = ....... tens + ....... ones

d. 4 ones + 9 ones + 9 ones = ....... ones = ....... tens + ....... ones

e. 16 ones + 6 ones + 8 ones = ....... ones = ....... tens + .......ones

3. Add the following.

a. Th H T 0 b. Th H T 0 c. Th H T 0

6732 9521 5674

+3 1 2 4 +2 4 7 6 +4 2 2 3

d. 6 4 7 6 0 e. 4 3 5 0 8 f. 5 2 6 3 4

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

Maths Zone – Grade 4 59

Addition (with carryover)

Class Discussion

Example 1

Add : 824134 and 657967

L TTh Th H T 0 Add ones : 4 + 7 = 11
1 111 11 ones = 1 ten and 1 ones. 1 ten carry

8 2 4134 over to ten place.

+6 5 7 9 6 7 Write 1 at once place.
14 8 2 101 Add tens: 1 + 3 + 6 = 10 tens
10 tens = 1 hundred and 0 ten. Write 0 at

tens place and 1 carry over to hundred
place.

Add hundred : 1 + 1 + 9 = 11

11 hundreds = 1 thousand and 1 hundred

Add thousands : 1 + 4 + 7 = 12

12 thousands = 1 ten thousand and 2
thousands

Add ten thousands : 1 + 2 + 5 = 8

No carry over goes for lakhs.

Example 2 Add Lakh : 8 + 6 = 14 lakh

Add : 73,549, 7,346 and 848

11 12 Add ones : 9 + 6 + 8 = 23 ones
23 ones = 2 tens and 3 ones.
73549 Put 3 in ones column and carryover. 2 in

7346 tens column.
Add tens: 2 + 4 + 4 + 4 = 14 tens
+ 848

81743

14 tens = 1 hundred and 4 ten. Put 4 on tens
column and carryover 1 on hundred column
and so on.

60 Maths Zone – Grade 4

Exercise - 3.2

1. Add the followings.

a. 7 2 9 4 6 5 b. 5 4 6 3 7 9 c. 4 8 9 3 7 0

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

d. 5 7 6 7 8 5 e. 4 3 6 0 5 8 f. 6 4 2 1 9 6 6

43760 648524 7026541

+2 6 1 4 8 +25769 +5784315

2. Add the followings. b. 3,60,543 + 2,68,437
a. 47,432 + 54,374

c. 3,57,410+3,579+6,21,478 d. 6,34,208 + 7,385 + 67

e. 94,327 + 48,572 + 98

Word Problems

1. In a town there are 5,76,285 male and 5,68,780 female.
What is the total population of town?

2. In a library there are 6,75,876 Nepali books. 4,05,657
English books. How many books are there altogether?

3. Suman earns Rs 48,870 from his salary. 54,780 from
poultry farming & 34,054 from book writing. What is his
total income?

4. What is the sum of the greatest and the smallest number
of 6 digits?

5. Find the sum of the greatest & the smallest number formed
by the digits 6, 5, 9, 7, 0 and 2.

Maths Zone – Grade 4 61

Subtraction

Taking away a number from a greater number is called
subtraction. The number which is subtracted is subtrahend
and the number from which is subtract is called minuend. The
number left after subtraction is called difference.

Exercise - 3.3

1. Fill in the blanks. f. 9 – 3 = .............
a. 7 – 3 = 4 g. 6 – ......... = 6
b. 8 – 0 = 8 h. ....... – 8 = 3
c. 12 – 5 = 7 i. 17 – ........ = 8
d. ....... – 4 = 5

e. 15 – 7 = ..... – 9 = .......

2. Rearrange the following.

a. 35 = 3 tens + 5 ones

b. 57 = ten + ones Oh!
1 ten = 10 ones
c. 71 = ten + ones 1 hundred = 10 tens
1 thousand = 10 hundreds.

d. 80 = ten + ones

e. 93 = ten + ones

62 Maths Zone – Grade 4

3. Subtract the following.

a. 8 9 8 8 b. 9 7 6 4 0 c. 49823
–2766
–86520 –34710

d. 3 4 7 9 8 5 e. 5 4 3 4 7 9 f. 6 5 8 1 2 3

–2 1 5 4 3 2 –4 3 2 4 6 5 –3 4 5 0 0 2

4. Subtract the following. b. 75,435 – 4,324
a. 42,740 – 30,530 d. 9,98,705 – 8,76,504

c. 9,52,640 – 41,530

Subtraction (with carryover)

Class Discussion

Example : Subtract 4,65,423 from 5,43,210

4 13 12 11 10 10 ‰‰ Here, we have to take away 3 from
zero. But it is not possible. So, borrow
L TTh Th H T 0 1 ten from tens position . Now it
5 4 3210 becomes 1 ten = 10 ones. Take away
–4 6 5 423 3 from 10 we get 7.
0 7 7787
‰‰ No ten remain on Tens column.
‰‰ How can we subtract 2 from 0 tens?
‰‰ Borrow 1 hundred = 10 tens from 2

hundred.
‰‰ Take away 2 tens from 10 tens 8 tens

remain.
‰‰ Only 1 hundred remain in hundred

place.
‰‰ Borrow 1 thousand = 10 hundred

from thousand place and take away
4 from 11 hundred and continue the
process.

Maths Zone – Grade 4 63

Exercise - 3.4

1. Subtract the following.

a. Th H T 0 b. Th H T 0 c. Th H T 0
5432 7840 4321

–3 3 2 4 –4 5 6 8 –1 8 7 6

d. 5 5 3 4 0 e. 3 4 0 5 3 f. 6 0 3 3 1
–38762
–25364 –23654

g. 2 7 6 4 3 2 h. 3 1 5 5 2 4 i. 8 5 4 6 7 6

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

2. a. 6,55,525 – 4,66,795 b. 3,39,246 – 1,72,849
c. 5,12,303 – 2,77,547 d. 5,29,156 – 4,95,678
e. 60,00,000 – 4,98,752 f. 2,15,354 – 97,465

Word Problems

Example 1

The yearly income of Sita is Rs. 260576. Her total yearly
expanditure is Rs. 185687. How much money does Sita
save in a year?

Solution: 26057 6

Yearly income of Sita = Rs. 260576 –1 8 5 6 8 7

Yearly expenditure of Sita = Rs. 185,687 7488 9

Yearly Saving of Sita = ?

\ Yearly saving of Sita = Rs. 74889

64 Maths Zone – Grade 4

Exercise - 3.5

1. Solve the followings problems.
a. Find the difference between 47,683 and 28,765.
b. Rina earns Rs. 3, 25, 430 and spends Rs. 2,75,652 in
a year. What is her saving?
c. The population of Pokhara is 7,12,324 and population
of Dharan is 3,85,657. What is the difference of the
population between two cities?
d. There are 2,30,521 people in Jumla, 59,780 people are
migrated to Terai. What is the number of remaining
people in Jumla?
e. Find the difference between the smallest number of 7
digits to the greatest number of 6 digits.
f. 58,423 people visited Rara lake last year and this year
73,400 people visited the lake. How many more people
visited the lake this year?
g. Parisa has Rs. 4,00,000/–. She spend Rs. 1,85,500 for
a scoty and Rs. 1,50,000 for a computer. How much
money would she save?
h. Find the difference between the greatest and the
smallest number formed by the digits 1,0, 5, 6, 4
and 8.

Maths Zone – Grade 4 65

Multiplication

Class Discussion

Multiplication is the repeated addition of the same number.

2 + 2 + 2 + 2 + 2 + 2 = 12 11 + 11 + 11 + 11 = 44

Six twoes are twelve Four elevens are 44

i.e. 6 × 2 = 12 i.e. 4 × 11 = 44

A number multiplied by zero always gives zero product

2×0=0 234 × 0 = 0

27 × 0 = 0 0 × 3450 = 0

When a number multiplied by 1. The product is the number itself.

5×1=5 1×1=1

1 × 365 = 365 570 × 1 = 570

Changing the order of factors does not change the products.

7 × 4 = 28 13 × 5 = 65

4 × 7 = 28 5 × 13 = 65

Multiplication of the number ending in zeros.

15 × 10 = 150 Multiply 15 × 1 = 15

Write one zero at the end of the product.
i.e. 150.

27 × 100 = 2700 Multiply, 27 × 1 = 27

Write two zeros at the end of the product
i.e. 2700

455 × 1000 = 455000 Multiply 455 × 1 = 455

Write 3 zeros at the end of the product i.e.
455000

240 × 3000 = 720000 Multiply 24 × 3 = 72
66 Maths Zone – Grade 4
Write 4 zero's at the end of the product
i.e. 720000

Exercise - 3.6

1. Fill in the blanks.

a. 7 + 7 + 7 + 7 + 7 = 5 × 7 = 35

b. 3 + 3 + 3 + 3 + 3 + 3 + 3 = ............ = ........

c. 9 + 9 + 9 + 9 = ............ = ........

2. Multiply the following.

a. 73 × 0 = ......... b. 125 × 1 = .........

c. 45 × 0 = ......... d. 750 × 1 = .........

e. 0 × 255 = ......... f. 1 × 2500 = .........

3. a. 45 × 10 = ......... b. 176 × 10 = .........

c. 27 × 100 = ......... d. 150 × 100 = .........

e. 4372 × 1000 = ......... f. 876 × 1000 = .........

4. a. 210 × 200 = ......... b. 360 × 3000 = .........

c. 25 × 4000 = ......... d. 16 × 2000 = .........

e. 55 × 4000 = ......... f. 90 × 500 = .........

5. a. 15 × 5 = ......... b. 47 × 3 = .........

5 × 15 = ......... 3 × 47 = .........

c. 85 × 6 = ......... d. 250 × 3 = .........

6 × 85 = ......... 3 × 250 = .........

Maths Zone – Grade 4 67

Multiplying a number by one digit multiplier (with out carry over).

Example 1 b. 3211 c. 42313 2
×3 ×2
a. 2 4 3
×2 9633 84626 4

486

Solution:

With carry over Steps
2 34
34 5 7 1. 6 × 7 = 42 (Write 2, in unit place of
×6
product and carry 4 over the tens place.)
2 0 7 4 2
2. (6 × 5) + 4 = 30 + 4 = 34 (Write 4 in

tens place of product and carry 3 over

the hundreds place.)
3. (6 × 4) + 3) = 24 + 3 = 27 (Write 7 in

hundred place of product and carry 2
over the thousands place.

4. (6 × 3) + 2 = 20 (Write 0 in thousands
place of product. There is no ten
thousands place in multiple. So
put carry over 2 in ten thousand
place of product.

Exercise - 3.7

Multiply the following.

1. a. 2 2 b. 4 2 3 c. 3 2 1 2 d. 4 0 3 2 1
×2 ×2 ×3 ×2

2. a. 3 5 b. 3 4 5 c. 3 5 7 4 d. 4 6 5 7 0
×7 × 8 ×6 ×5

68 Maths Zone – Grade 4

Multiplying a number by two digits.

With out carry over

Example 1

Solution: Multiply by ones

32 21 3221 Multiply by tens
×3
×2 3 3221
9663 ×20
96 63 3221 × 3
3221 × 20 64420
644 20
740 83

With carry over 27 = 2 tens + 7 ones 23 = 2 tens + 3 once

Example 2 = 20 + 7 = 20 + 3

Solution: Multiply by ones Multiply by tens
845 845
× 27 ×7 845
×20
5915 5915 16900
+1 6 90 0
22815

Exercise - 3.8

Multiply the following.

1. a. 3 1 2 b. 2 2 3 c. 4 2 3 d. 3 1 4 2
×21 ×32 ×22 ×12

e. 2 1 2 3 f. 1 2 3 2 g. 3 1 2 2 h. 2 0 3 2
×31 ×23 ×33 ×56

Multiply the following.

2. a. 5 4 b. 8 7 c. 7 8 d. 8 3
×43 ×34 ×29 ×56

Maths Zone – Grade 4 69

e. 4 3 5 f. 587 g. 3 8 2
× 36 × 45 × 28

3. Multiply the following. 6374 c. 4 3 2 6
× 65 × 43
a. 2 3 5 4 b.
× 46

d. 6 7 3 5 e. 7 3 6 9 f. 3 6 7 2
× 76 × 82 × 59

Multiplying a number by three digit number.

Without carryover

Example 1 Multiple by ones Multiple by tens Multiple by hundred

Multiple 3212 by 213

3212 3212 3212 3212
×213 ×3 ×10 ×200
9636 642400
32220 9636 32120

642400
684156
With carryover

Example 2

Multiple 3654 by 236 Multiple by ones Multiple by tens Multiple by hundred

3654 332 1 11 11
×236
21924 3654 3654 3654
109620 ×6
730800 ×30 ×200
862344 21924
109620 730800

70 Maths Zone – Grade 4

Exercise - 3.9

1. Multiply the following.

a. 2 4 2 b. 332 c. 4 2 2
×212 ×233 ×222

d. 3 2 1 2 e. 2 3 1 2 f. 2 1 3 4
×213 ×213 ×221

2. Multiply the following. c. 2 5 3 4
×634
a. 7 3 5 b. 375
×432 ×423

d. 2 8 7 4 e. 4 6 8 f. 3 0 3 5
×235 ×307 ×360

3. Solve the following problems.
a. In a bundle of pencils, there are 72 pencils. How many
pencils are there in 346 such bundles?
b. A man bought 285 metre of clothes at the rate of Rs.
565 per meter. How much did he pay altogether?
c. A truck carry 8326 bags of rice. How many such bags
65 trucks can carry?
d. In Jharana Krisi Form, 462 eggs are produced in a
day. How many egg can be produced in a year? [ 1 year
= 365 days.]
e. 2564 people donated to the flood victim people of terai
region of Nepal. If each of them donated Rs. 546. How
much was the total donated amount?

Maths Zone – Grade 4 71

Division

Division is repeated subtraction of the same number.

Let's see the example

Example 1 7 is divisor 639 is dividend

639 ÷ 7 Quotient Let's see the first digit of dividend, 6 is the first
Dividend digit.
Solution: Let's try to divide 6 by 7
'it is not possible' (i.e. 6 < 7)
91 So take 3 also, it becomes '63', now divide 63 by 7.
Divisor 7 639
63 is multiple of 7, 7 × 9 = 63, so put 9 as
–63 quotient and write 63 exactly below of 63.
×9
–7 Remainder Bring down 9
2 Now divide 9 by 7
7 × 1, 7 × 2 = 14
9 lies between 7 & 14 so put 1 as a quotient &
7 below the 9.
∴ Remainder is 2.

Division is repeated subtraction.
20 ÷ 4 (Divide 20 by 4)
20 – 4 = 16 1 times
16 – 4 = 12 2 times
12 – 4 = 8 3 times
8 – 4 = 4 4 times
4 – 4 = 0 5 times
4 is subtracted 5 times from 20 becomes '0'
∴ 20 ÷ 4 = 5

72 Maths Zone – Grade 4

Remember !

a. When a number is divided by 1, the Quotient is the number
itself.

3 ÷ 1 = 3, 12 ÷ 1 = 12, 54 ÷ 1 = 54

b. When a number is divided by itself the Quotient is 1.

25 ÷ 25 = 1 5 ÷ 5 = 1, 40 ÷ 40 = 1

c. When 0 is divied by any number, the Quotient is zero.

0 ÷ 7, 0 ÷ 15 = 0, 0 ÷ 27 = 0

d. The relation among divisor, Quotient & Remainder is
dividend = Divisor × Quotient + Remainder

5 ∴ 16 = (3 × 5) + 1
3 16
15
1

e. While dividing any number ending with zero by another
number ending with zero we can cancel the same number of
zero at first and we can divide.

Example: 2700 ÷ 900

2700 ÷ 900

3
9 2 7

27

×
∴ 2700 ÷ 900 = 3

Maths Zone – Grade 4 73

Exercise - 3.10

1. Divide the following.

a. 32 ÷ 4 b. 65 ÷ 7 c. 83 ÷ 9
f. 540 ÷ 6
d. 342 ÷ 5 e. 963 ÷ 3 i. 7700 ÷ 700
l. 456 ÷ 14
g. 660 ÷ 10 h. 550 ÷ 50

j. 225 ÷ 20 k. 245 ÷ 11

Division of 2 digit divisor.

Example 1

Divide 3444 ÷ 12
Solution:

287 3 can not be divided by 12, so we
12 3444 divide 34 by 12
34 ÷ 12 = 2 Quotient, 10 Remainder
– 24 104 ÷ 12 = 8 Quotient, 8 Remainder
104 84 ÷ 12 = 7 Quotient, 0 Remainder
–96
84
–84
×

Quotient = 287
Remainder = 0
Check, divisor × Quotient = dividend
12 × 287 = 344

74 Maths Zone – Grade 4

Example 2

Divide 5349 ÷ 42

Solution: Let's make the table of 42

127 ×123456789
42 5349 42 42 84 126 168 210 252 294 336 378

– 42

114 ‰‰ 53 lies between 42 & 84, so 42
–84 can go 1 times into 53.
309 ‰‰ 114 lies between 84 & 126
294 ‰‰ 42 can go 2 times into 114.
15 ‰‰ 309 lies between 294 & 336. So

42 can go 7 times into 309.

∴ Quotient = 127

Remainder = 15

Check, (42 × 127) + 15

= 5334 + 15

= 5349

Exercise - 3.11

1. Divide the following.

a. 7128 ÷ 15 b. 5564 ÷ 22 c. 3863 ÷ 13
f. 6909 ÷ 47
d. 6778 ÷ 18 e. 33504 ÷ 73 i. 6767 ÷ 16

g. 7452 ÷ 69 h. 86003 ÷ 97

Maths Zone – Grade 4 75

Division of 4 or 5 digit number by 3 digit number.

Example 1

Divide 5658 ÷ 123

Solution: 123 123 565 is just greater than
×4 ×5 495 so, take 123 × 4 =
46 492 615 492
123 5658
123
– 492 ×6
738 738
–738
×

Example 2

Divide 13448 by 42

Solution:

320 Quotient Divide 134 by 42 to top first digit 3 in
42 13448 Remainder quotient.
Divide 84 by 42 to get second digit 2 in
126 quotient .
84 Bring down 8, but 8 is less than 42. So
put 0 as a quotient & 8 is Remainder.
– 84
×8

Exercise 3.12

1. Divide the following.

a. 3350 ÷ 134 b. 5112 ÷ 213 c. 133736 ÷ 321
f. 29644 ÷ 245
d. 77622 ÷ 233 e. 27800 ÷ 224

76 Maths Zone – Grade 4

Word Problems

Example 1

The cost of 15 tables is Rs. 13500. Find the cost of one
table.

Solution:

Cost of 15 tables = Rs. 13500 /-

Cost of 1 table = ?

Cost of a table is equal to 13500 ÷ 15

900

15 13500

135

×00

\ The cost of a table is Rs. 900.

Exercise 3.13

1. The cost of 25 balls is Rs. 28,125. What is the cost of a ball?

2. 445 kg. bag of sugar costs Rs. 15,130. How much does 1 kg of
sugar cost?

3. A typist can type 84 words in a minutes. How long will it take to
type a Book of 3,83,124 words?

4. The product of two numbers is 43,776. If one number is 96, find
the other number.

5. A television costs Rs. 7,995. How many month will be required to
clear up the loan if it is purchased in an installment of Rs. 123 per
month?

6. If the costs of a book is Rs. 65. How many books can be bought for
Rs. 2,275?

7. 48,000 ml of milk is to be poured equally in to 40 glasses. How
much milk will be poured in each glass?

Maths Zone – Grade 4 77

Simplification

Addition, subtraction, division and multiplication are four
fundamental operation of whole number.
If all the fundamental operation comes together, we should
perform division, multiplication, addition and subtraction
in order to get a single answer.

15 ÷ 3 × 5 + 5 – 20 1st Division
= 5 × 5 + 5 – 20 2ndMultiplication
= 25 + 5 – 20 3rd Addition
= 30 – 20 4th Subtraction
= 10

DMAS Division
Multiplication
Addition
Subtraction

Example 2

Simplify: 35 ÷ 7 + 4 × 8 – 2

Solution:
35 ÷ 7 + 4 × 2 – 2

=5+4×2–2 Division 1st
=5+8–2 Multiplication 2nd
= 13 – 2 Addition 3rd
= 11 Subtraction 4th

78 Maths Zone – Grade 4

Use of brackets in simplification.
( ) = Small brackets ( Parentheses or round brackets)
{ } = Medium or curly brackets (braces)
[ ] = Square brackets or big brackets.
We should perform, small brackets 'First', Curly brackets '
Second' & Square brackets ' Third'.
In simplification, we use BODMAS rule

B Brackets [{()}]
O Off
D Division ( ÷ )
M Multiplication
A Addition ( +)
S Subtraction ( –)

Example 1

Simplify: (21 ÷ 7 × 2) – (75 ÷ 5 – 10)

Solution:

(21 ÷ 7 × 2) – (75 ÷ 5 – 10) First perform
= ( 3 × 2) – ( 15 – 10) inside the bracket
=6–5 ( ). Inside bracket
=1 use 'DMAS' Rule !

Maths Zone – Grade 4 79

Exercise 3.14 b. 576 + 175 – 400
d. 435 – 500 + 250
1. Simplify the following. f. 59 – 34 + 250 – 150
a. 246 + 460 – 144
c. 93 – 118 + 200 b. 30 – (9 – 8)
e. 173 + 47 – 50 – 85 d. (10 + 5) – 6
2. Simplify the following. f. (20 – 4) + 7
a. 20 + (4 + 3) h. (20 – 4) – 12
c. 15 – (15 –10)
e. (35 + 10) – 15 b. 12 × 5 – 50
g. (40 – 10) + 15 d. 35 × 5 + 20
3. Simplify the following. f. 24 – 3 × 6 + 15 ÷ 3
a. 30 + 10 – 20 h. 33 ÷ 3 × 5 – 55 ÷ 11 + 3 × 5
c. 10 + 2 × 4 ÷ 4
e. 45 ÷ 15 × 3 + 9 – 10 b. (7 + 3) – 16 ÷ 4
g. 56 – 42 ÷ 7 + 8 × 3 d. 25 ÷ 5 × (7 + 3) – 40
4. Simplify the following. f. 21 + (25 – 10) ÷ 5
a. (25 – 10) + 5 h. 16 + {26 ÷ (9 – 3 + 7) +8}
c. 2 + (10 + 5 – 3) ÷4
e. 3 × (7 – 3) + 12(15 ÷ 3)
g. 28 – {18 – (15 ÷ 5)}

80 Maths Zone – Grade 4

Maths Fun

Place the numbers 1 to 9 to make a valid equation.

– 66
+×– ×
13 12 11 12
×++ –

÷+× +

Fill in magic box (square) each row, column in such a

way that each diagonal should have same sum.

i. 8 ii. 4 9 16

56

24 14 11 7 2

18 13

Maths Zone – Grade 4 81

Practice Zone

Addition/Subtraction

Group 'A'

Circle the correct option.

1. What should be subtracted from 18 to get 12?

a. 30 b. 6 c. 8

2. What is the result if 1 is subtracted from 1000?

a. 0 b. 99 c. 999

3. The result of 5 - 8 + 3 is ............

a. – 6 b. 5 c. 0

4. Your brother is 12 years old. You are 8 years old. By how many

years you are younger than your brother?

a. 20 years b. 8 years b. 4 years

5. How much will you get back if you gave a note of Rs. 100 for the

copy worth Rs. 65?

a. Rs. 35 b. Rs. 40 c. Rs. 65

6. How many Suki have to pay for Rs. 4.50?

a. 8 b. 18 c. 9

7. Samir has Rs. 65,300 in his account. He withdraw Rs. 49,000.

What is his saving now?

a. 16300 b. 114300 c. 15200

8. -3 + 4 - 3 + 7 is equal to

a. 5 b. 9 c. 17

Group 'B'
1. Sarita, Garima and Binita invested Rs. 62756, 4 Rs. 2370 & Rs.

6632 respectively in a business. What was the total investment?

2. By how much is Rs. 1650 more than Rs. 1210?

82 Maths Zone – Grade 4

3. Sarala bought a watch for Rs. 1750, and sold it for Rs. 2020. How
much is the selling price more than buying price?

4. There are 565 boys and 264 girls in a school. Find the number of
more boys than the number of girls.

5. Find the difference between the greatest number and the smallest
number formed by 2,8,05.

6. The difference between two numbers is 9135 . If the greater
number is 6759, find the smaller number.

Multiplication/Division

Group 'A'

Circle the correct option.

1. 15 ÷ 5 × 3 is equal to

a. 1 b. 9 c. 5

2. 200 × 500 is equal to

a. 1000 b. 100000 c. 10000

3. What is the quotient if 900 is divided by 10?

a. 90 b. 10 c. 900

4. Rs. 60 is equally divided among 15 people. How much will each

get?

a. Rs. 15 b. Rs. 4 c. Rs. 5

5. The cost of a book is Rs. 45. What is the cost of such 5 books?

a. 50 b. 180 c. 225

Maths Zone – Grade 4 83

6. When a number is divided by 5, we get the quotient 4 and
remainder 1. Find the number.

a. 21 b. 9 c. 25

7. What is the quotient if 999 is divided by 3

a. 33 b. 333 c. 99

8. Find the result of 17 × 0 + 5 ÷ 1

a. 0 b. 1 c. 5

Group 'B'

1. The cost of a T-shirt is Rs. 430. What is the cost of 1 dozen T-shirt?

2. In a year there are 365 days. How many days are there in 15
years?

3. Amar pays Rs 3 as the interest of Rs 100 in a month. How much
interest he has to pay for Rs. 1000 in a year?

4. Saiman bought a radio for Rs. 460. What is the cost of such a
score radio?

5. A typist can type 70 words per minute. How long will it take to
type a book of 252000 words?

6. The annual salary of a man is Rs. 182,400. Find his monthly
salary.

7. Simplify:

i. 24 × 12 ÷ 6 - 36 + 9

ii. 4 × 12 – (2 × 16 ÷ 4)

8. Divide:

a. 31500 ÷ 9000 b. 1585 ÷ 35

9. Multiply:

a. 3745 × 15 b. 43200 × 16

84 Maths Zone – Grade 4

Answers of Unit 3

Exercise 3.1

1. d. 9 e. 4 f. 7 g. 4 h. 7

i. 7 j. 7

2. b. 17 ones = 1 ten + 7 ones c. 23 ones = 2 tens + 3 ones

d. 22 ones = 2 tens + 2 ones e. 30 ones = 3 tens + 0 Ones

3. a. 9856 b. 11997 c. 9897 d. 109889

e. 117880 f. 108877

Exercise 3.2

1. a. 1312251 b. 1402832 c. 1233159 d. 646693

e. 1110351 f. 19232822

2. a. 101806 b. 628980 c. 982467 d. 641660

e. 142997

Word Problems

1. 1145065 2. 1081533 3. Rs. 137704

4. 1099999 5. 1002199

Exercise 3.3

1. d. 9 e. 17, 8 f. 6 g. 0 h. 22 i. 9
2. b. 5 tens + 7 ones 3. Show to your teacher.
c. 7 tens + 1 one 4. Show to your teacher.
d. 8 tens + 0 one
e. 9 tens + 3 ones

Exercise 3.4

1. a. 2108 b. 3272 c. 2445 d. 16578 e. 8689
f. 36677 g. 77889 h. 78876 i. 288689

Maths Zone – Grade 4 85

2. a. 188730 b. 166397 c. 234756 d. 33478 e. 5501248
f. 117889

Exercise 3.5

1. a. 18873 b. Rs. 49778 c. 32667 d. 170741 e. 1

f. 14977 g. Rs. 64500 h. 850842

Exercise 3.6

1. b. 21 c. 36

2. a. 0 b. 125 c. 0 d. 750 e. 0

f. 2500

3. a. 450 b. 1760 c. 2700 d. 15000

e. 4372000 f. 876000

4. a. 42000 b. 108000 c. 100000 d. 32000

e. 220000 f. 45000

5. a. 75 b. 141 c. 510 d. 750

Exercise 3.7

1. a. 44 b. 1269 c. 3936 d. 80642

2. a. 245 b. 2760 c. 21444 d. 232850

Exercise 3.8

1. a. 6552 b. 7136 c. 9306 d. 37704

e. 65813 f. 28336 g. 103026 h. 113792

2. a. 2322 b. 2958 c. 2262 d. 4648

e. 15660 f. 26415 g. 10696

3. a. 108284 b. 414310 c. 186018 d. 511860

e. 604258 f. 216648

Exercise 3.9

1. a. 51304 b. 77656 c. 93684 d. 684156

e. 492456 f. 471614

2. a. 317520 b. 158625 c. 1606556 d. 675390

e. 143676 f. 1092600

3. a. 24912 b. 161025 c. 541190 d. 168630

e. 1399944

86 Maths Zone – Grade 4

Exercise 3.10

1. a. Q=8, R=0 b. Q=9, R = 2 c. Q=9, R=2 d. Q= 68, R = 2
e. Q= 321, R=0 f. Q= 90, R = 0 g. Q=66, R=0 h. Q= 11, R = 0
i. Q= 11, R=0 j. Q= 11, R = 5 k. Q=22, R=3 l. Q= 32, R = 8

Exercise 3.11

1. a. Q=475, R=3 b. Q=252, R = 20 c. Q=297, R = 2
f. Q=147, R = 0
d. Q = 376, R=10 e. Q=458, R = 70 i. Q=422, R = 15

g. Q=108, R=0 h. Q=886, R = 61 c. Q=416, R = 200
f. Q=120, R = 244
Exercise 3.12
3. Rs. 4561 m
1. a. Q= 25, R= 0 b. Q= 24, R = 0 6. 35 books

d. Q = 333, R=33 e. Q=124, R = 24 d. 185

Exercise 3.13 d. 9
h. 4
1. Rs. 1125 2. Rs. 34 d. 195
h. 65
4. Rs. 456 5. 65 months d. 10
h. 26
7. 1200 ml

Exercise 3.14

1. a. 562 b. 351 c. 175

e. 85 f. 125

2. a. 27 b. 29 c. 10

e. 30 f. 23 g. 45

3. a. 20 b. 10 c. 12

e. 8 f. 11 g. 74

4. a. 20 b. 6 c. 5

e. 72 f. 24 g. 13

Maths Zone – Grade 4 87

4 Time and Money

Specific Objective Prescribed by CDC

Time
 To convert years into days.
 To convert second into minutes and vice versa.
 To solve the simple practical problems including (addition and

subtraction) the minutes and seconds, days and hours, hours and minutes,
weeks and days and months and years.
Money
 To add and subtract the problems related to Rs and Paisa.
 To add two amounts of money (without converting from one unit into
another).
 To solve the simple and daily life word problems related to the addition
and subtraction of money (without converting one unit into another)

88 Maths Zone – Grade 4

Time

Telling the time

There are three hands in a clock: hour hand, minute hand and second
hand. According to their name, they indicate hour, minute and second.

2 : 40 : 55 10 : 50 : 35 1 : 20 : 45

‰‰ For a complete round (from 12 to 12), hour hand
takes 12 hour.

‰‰ For a complete round (from 12 to 12), minute hand
takes 60 minutes. 1 hour is equal to 60 minutes.
60 minutes = 1 hour

‰‰ For a complete round (from 12 to 12), minute
hand takes 60 minutes. 1 minutes is equal to 60
seconds.
60 second = 1 minutes

Let's see the above clock and give the answer.
Tell the time in hour, minute and second. (1st clocks).
 It is 55 second, 40 minutes past two. We write 2 : 40 : 55.
Tell the time of another clock.
 A watch shows the time 9 : 45 in the morning.
Your father says it is quarter to 10.
Mothers say Oh! it's 9 : 45. It's being late.
Who is correct? Father? Mother? both? please! discuss!

Maths Zone – Grade 4 89

Read the time

11 : 10 40 8 : 55 20 3 : 45 35

It is 11 : 10. It is 8:55. It is 3:45.
It is also read as It is also read as 5 It is also read as
10 minutes past 11 minutes to 9 o'clock. 'Quarter to four' 15
o'clock. minutes is equal to
quarter.

15 minutes = 1 quarter

Oh! we read the time in Rounding up if less
than 30 minutes remain for successor hour.
We usually read the successor hour.

Example

‰‰ A watch shows 7 : 50
‰‰ We can read it 10 minutes to 8 o'clock instead of 50 minutes

past 7 o'clock.

90 Maths Zone – Grade 4

Exercise 4.1

1. Write the correct time (with seconds).

a. b. c.

1 : 15 : 20 f.
d. e.

2. Write as example:
a. 7 : 50 = 10 minutes to 8'o clock
b. 5 : 10 = 10 minutes past 5'o clock
c. 6 : 55 =
d. 4: 40 =
e. 8 : 15 =
f. 9 : 20 =

3. Write as example:
a. 2 : 45 = Quarter to three o'clock
b. 2 : 15 = Quarter past 2'o clock
c. 3 : 45 =
d. 3 : 15 =
e. 4 : 15 =
f. 5 : 30 =

Maths Zone – Grade 4 91

Relation among hour, minute and second

Second hand takes 60 seconds to
complete the full turn.

It is 1 minutes.

Oh! Minute hand takes 60 minutes
to complete the full turn.

Umm! It is 1 hour.

1 hour = 60 minutes 1 minute = 60 seconds
× 60 × 60

Hour Minutes Minutes Seconds

÷ 60 ÷ 60

To convert hours to minutes. To convert minutes to seconds.
Multiply hour by 60. Multiply minutes by 60.

But But

To convert minutes to hour. To convert seconds to minutes.
Divide by 60. Divide by 60.

92 Maths Zone – Grade 4

Example 1 b. 3 hrs 25 mins
= (3 × 60) mins + 25 mins
Convert into minutes. = 180 mins + 25 mins
= 205 mins
Solution:

a. 4 hrs
= (4 × 60) mins
= 240 mins

Example 2

Convert into hours and minutes.

Solution: 6 hrs 4 hrs
360 60 286
a. 360 mins 60 b. 286 mins
= 286 ÷ 60 – 240
= 360 ÷ 60 360 = 4 hr 46 mins 46 mins

= 6 hrs ×

Example 3 b. 8 min 20 sec
= (8 × 60) sec + 20 sec
Convert into second. = 480 sec + 20 sec
= 500 sec
Solution:

a. 5 minutes
= 5 × 60
= 300 seconds

Example 4

Convert into minutes.

a. 720 sec 12 min b. 448 sec 7 min

60 720 = 448 ÷ 60 60 448
= 720 ÷ 60 – 60
420
= 12 mins 120 = 7 minutes 28 sec 28 sec

120

×

Maths Zone – Grade 4 93

Exercise 4.2

1. Convert the following into minutes.

a. 12 hrs b. 20 hrs c. 4 hrs 45 min

d. 13 hrs 30 min e. 9 hr 28 min f. 11 hr 22 min

2. Convert the following into hour and minutes.

a. 720 min b. 480 min c. 1320 min

d. 178 min e. 245 min f. 625 min

3. Convert the following into seconds.

a. 6 min b. 17 min c. 23 min

d. 14 min 32 sec e. 7 min 27 sec f. 1 hr 35 min

4. Convert the following into minutes and second.

a. 660 sec b. 960 sec c. 1458 sec

d. 445 sec e. 23880 sec f. 3960 sec

94 Maths Zone – Grade 4

Relation among Day, Month and Year

Activity

Look at your school calender. How many months are there?

 There are months.

Calender is the yearly plan of your school.

There are months in a year.

1 year = 12 months

Again, count the days of each month. You will get 29, 30, 31, 32 days.

We suppose the common day '30' in a month.

1 month = 30 days

How many days are there in a year?

 There are days in a year.

But there is 1 more day in leap year.

There are 366 days in a leap year.

1 year = 12 months
1 month = 30 days
24 hours = 1 day

× 12 × 30

Years Months Months Days

÷ 12 ÷ 30
To convert years into months. To convert months into days.

Multiply year by 12. Multiply months by 30.

To convert months into year. To convert days into months.

Divide months by 12. Divide months by 30.

Maths Zone – Grade 4 95

Example 1

Convert the following into months.

Solution:

a. 5 year b. 12 year 5 months

= (5 × 12) months = (12 × 12) months + 5 months
= 60 months = 144 months + 5 months
= 149 months

Example 2 48 year

Convert the following into years and months.

Solution: b. 577 months 12 577
a. 180 months = 577 ÷ 12
= 48 years 1 month 48
= 180 ÷ 12 97
= 15 years 96
1 month

Example 3

Convert the following into days.

Solution:

a. 6 months b. 16 months 22 days

= 6 × 30 = (16 × 30) + 22
480 + 22
= 180 days = 502 days

=
c. 4 years 7 months 15 days.

4 years = 4 × 12 = 48 months
= 48 × 30 = 1440 days.

7 months = 7 × 30 = 210 days

∴ 4 years 7 months 15 days = (1440 + 210 + 15) days

= 1665 days

96 Maths Zone – Grade 4

Example 4

Convert into year, month and days 8 months
30 240
Solution:
a. 240 days – 240
×
= 240 ÷ 30

= 8 months 13 months
30 395 days
b. 395 days
= 395 ÷ 30 – 30
= 13 months + 5 days 95
= 12 months + 1 month + 5 days 90
5

= 1 year 1 month 5 days. But! In 1 year, there are 365 days.

395 – 365 days = 30 days

Exercise 4.3 So, 395 days = 1 year 1 month.

1. Convert the following into month.

a. 3 years b. 12 years c. 21 years

d. 6 years 5 months e. 16 years 6 months

f. 9 years 9 months

2. Convert the following into year and month.

a. 72 months b. 1080 months c. 946 months

d. 386 months e. 1550 months f. 2052 months

3. Convert into days. b. 2 years c. 25 months
a. 7 months

d. 4 months 20 days e. 12 months 15 days

f. 4 years 7 months 10 days

Maths Zone – Grade 4 97

4. Convert into year, month and days

a. 250 days b. 445 days c. 650 days
f. 716 days
d. 1246 days e. 970 days

Addition and Subtraction of Time

Example 1

Add 8 hrs 23 minutes 35 sec and 3 hrs 30 minutes 20 sec.

Add hours to hours. Hrs Min Sec
Add minutes to minutes. 8 23 35
Add seconds to seconds.
+ 3 30 20
Example 2 11 53 55

Add 10 hr 40 min. 45 sec and 5 hr 35 min 55 sec.

After adding hrs, min and second separately.

Hrs Min Sec ‰‰ Look at the second column, sum
10 40 45 is 100.
+ 5 35 55
15 75 100 ‰‰ Subtract 60 from 100 & add
–60 it's equivalent 1 minutes to 75
+1 40 minutes.
15 76
+1 –60 40 ‰‰ Subtract 60 min from 76 min and
16 16 it's equivalents 1 hour to 15 hour.

Example 3 ∴ Sum is 16 hr 16 min and 40 sec

Subtract 13 hours 37 min 28 sec from 15 hours 48 min 39 sec.

Hrs Min Sec ‰‰ Subtract seconds from seconds.
15 48 39 ‰‰ Subtract minutes from minutes.
– 13 37 28 ‰‰ Subtract hours from hours.
2 11 11

98 Maths Zone – Grade 4

Example 4

Subtract 15 hr 46 min 50 sec from 18 hrs 23 min. 16 second

Solution:

Hrs Min Sec ‰‰ We can't subtract 50 sec from 15 sec.
18 23 16 Borrow 1 minutes form 23 minute and
– 15 46 50 add its equivalent 60 second to 16
seconds.
??

Hrs Min Sec ‰‰ We can't subtract 46 minutes from 22
18 minutes. Borrow 1 hour from 18 hours
– 15 22 +60 76 and add it's equivalent at 60 minutes
46 50 to 22 minutes.

?

Hrs Min Sec ‰‰ Now subtract seconds from seconds.
Subtract minutes form minutes and
7 12 76 subtract hours form hours.
50
17 +60 8 2 26
– 15 4 6

2 36

Example 5

Add 6 years 8 months 25 days and 8 years 7 months 22 days.

Solution:

Years Months days

6 8 25 ‰‰ Add years, months days separately.
+8 7 22 ‰‰ Subtract 30 days from 47 days and
15 47
14 +1 –30 add it's equivalent 1 months to 15
16 17 months
14 –12 ‰‰ Subtract 12 months from 16 months
+1 4 17 add it's equivalent 1 year to 14 years.
15

Maths Zone – Grade 4 99

Example 6

Subtract 6 year 9 month 27 days from 14 years, 8 months
10 days.

Solution:

Year Month days

14 8 10
9 27 ‰‰ We can't subtract 27 sec from 10 sec.
–6

?? and 9 months from 8 months. So, we

have to rearrange that month and days.

Year Month days ‰‰ Borrow 1 month form 8 months and add
14 7 +30 40
–6 9 27 it is equivalent 30 days with 10 days.
‰‰ Borrow 1 year from 14 years and add it's
?
equivalent 12 months with 7 months.

Year Month days ‰‰ Now subtract days from days, month

13 19 40 from month and year from year.
– 6 9 27 ∴ We get 7 years, 10 months and 13 days.

7 10 13

Exercise 4.4

1. Add the following.

a. Min. Sec. b. Hrs. Min. c. Hrs Min Sec

42 18 10 45 2 42 28
+ 10 15 + 12 12 + 6 12 14

d. e. f.Months Days Year Months Days
Year Months

5 20 78 2 3 15

+3 8 +6 5 + 7 4 25

100 Maths Zone – Grade 4