Vedanta Excel in Mathematics Book 3 Final (2078)

4-digit Numbers

Game Time!
4. Let's arrange these number cards in decreasing and in increasing orders of the

digits. Say and write the greatest and the least numbers so formed.

742 308

Greatest number is Greatest number is

Least number is Least number is

5196 2078

Greatest number is Greatest number is

Least number is Least number is

5. Let's answer these questions as quickly as possible. I got it!
1 is the least
135246978 1-digit number.

a) What is the least 1-digit number? 9 is the greatest
1-digit number.
b) What is the greatest 1-digit number?
I know!
c) What is the least 2-digit number? The ϔirst 2-digit
number is 10 and

the last is 99.

d) What is the greatest 2-digit number?

6. It's your time! Let's write your digits. Say and write the greatest and the least
numbers formed from your digits.

2-digits Greatest numbers Least numbers

3-digits Greatest numbers Least numbers 3, 5, 2, 6 are my 4-digits.
6532 is the greatest
number.
2356 is the least number.

4-digits Greatest numbers Least numbers

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4-digit Numbers

Skip count - counting by 10's, 100's and 1000's

Classwork – Exercise

1. Let's count forward by 10's and 100's. Write the missing numbers.

Counting by 10's 10 20 30 57
27 37 47

Counting by 100's 300 400
582 682

2. Let's increase the digit at tens place by 1 and count by 10's.
a)

1520 1530 1540

b) 3485

3445

3. Let's increase the digit at hundreds place by 1 and count by 100's.
a)

2380 2680

b) 7993

7593

4. Let's increase the digit at thousands place by 1 and count by 1000's.
a)

1250 4250

b) 52 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

4748

vedanta Excel in Mathematics - Book 3

4-digit Numbers

Rounding off numbers to the nearest tens
Let's investigate the rules for rounding off numbers to the nearest tens.
a) Round off 4 to the nearest tens.

4 is close to 0.

0 1 2 3 4 5 6 7 8 9 10

So, rounding off 4 to the nearest tens is 0.

b) Now, round off 17 to the nearest tens.

17 is close to 20. 10 11 12 13 14 15 16 17 18 19 20

So, rounding off 17 to the nearest tens is 20.
Can you say the general rules for rounding off a number to the nearest tens? Discuss with
your teacher.

Classwork – Exercise

1. Let's use number lines and round off the numbers to the nearest tens.

a) Rounding of 3 to the nearest tens is

b) Rounding of 6 to the nearest tens is 0 1 2 3 4 5 6 7 8 9 10
0 1 2 3 4 5 6 7 8 9 10
c) Rounding of 14 to the nearest tens is 10 11 12 13 14 15 16 17 18 19 20
30 31 32 33 34 35 36 37 38 39 40
d) Rounding of 38 to the nearest tens is 60 61 62 63 64 65 66 67 68 69 70
80 81 82 83 84 85 86 87 88 89 90
e) Rounding of 62 to the nearest tens is 80 81 82 83 84 85 86 87 88 89 90
70 71 72 73 74 75 76 77 78 79 80
f) Rounding of 81 to the nearest tens is
vedanta Excel in Mathematics - Book 3
g) Rounding of 85 to the nearest tens is

h) Rounding of 73 to the nearest tens is

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4-digit Numbers

2. Let's focus on the digit at ones place. Then round off the number to the nearest
tens.

a) Rounding of 104 to the nearest tens is 100 I got the rule!
Rounding off 1, 2, 3 and
b) Rounding of 109 to the nearest tens is 4 at ones place is always
c) Rounding of 116 to the nearest tens is to the lower tens!!

d) Rounding of 153 to the nearest tens is I understood!
Rounding off 5, 6, 7, 8 and
e) Rounding of 278 to the nearest tens is 280 9 at ones place is always
to the upper tens!!
f) Rounding of 532 to the nearest tens is
g) Rounding of 895 to the nearest tens is

h) Rounding of 1427 to the nearest tens is

i) Rounding of 3666 to the nearest tens is

3. Let's read these problems. Round off the igure (number) to the nearest tens.

a) The cost of a bag is Rs 748. In round igure the cost is

b) There are 582 students in a school. The number of students in round igure
is

c) The population of a village is 2619. The population in round igure is

d) The price of a mobile is Rs 9703. The price in round igure is

4. It's your time! Let's write any four 3-digit numerals. Round off the numbers to
the nearest tens.

Numerals Rounding off to Numerals Rounding off to
the nearest tens the nearest tens

a) c)

b) d)

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5-digit Numbers

Ten-thousands
Let's count the number of thousands.

and is 10 thousand

1000 2000 3000 4000 5000 6000 7000 8000 9000 10000

10 thousand = 10000 20 thousand = 20000 30 thousand = 30000

In 10000, there are 5 digits. The digits are 1, 0, 0, 0 and 0.
Use of Comma (,)

It is easier to read and write the bigger numbers by separating the digits at thousands
and greater than thousands places using commas (,).

Remember! We start to use commas only in 4-digit and greater than 4-digit numbers.

Now, let's use commas to separate thousands and ten thousands places.

3000 ‘ 3,000 20000 ‘ 20,000

Thousands place Ten-thousands place
is separated is separated

Classwork – Exercise
1. Let's use commas and re-write these numbers.

5000 → 9640 → 4936 →
52145 →
10000 → 30000 →

2. Let's say and write, how many thousands?

a) 18,000 → Eighteen thousand

b) 27,000 →

c) 72,000 →

d) 99,000 →
3. Let's write the numerals using commas.

a) Fifteen thousand → b) Thirty-six thousand →

c) Sixty-three thousand → d) Eighty-one thousand →

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5-digit Numbers

3. Let's show the numerals in the place value table. Then say and write the number
names.

a) T-th Th H T O Twenty thousand
20,000
2 0000

b) T-th Th H T O
30,700

c) T-th Th H T O
56,100

d) T-th Th H T O
74,840

e) T-th Th H T O Ninety-eight thousand five

98,527 9 8 5 2 7 hundred twenty-seven

f) T-th Th H T O
85,309

4. It's your time! Let's write 5-digit numerals of your own choice . Say and write the
number names.

a)

b)

c) 56 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

vedanta Excel in Mathematics - Book 3

5-digit Numbers

Shopping Time!
5. Let's say and write the price of these electronic devices in words.

Rs 25,300 Rs 78,700 Rs 46,780 Rs 17,695

a) Price of mobile

b) Price of laptop

c) Price of smart board

d) Price of smart watch

e) Which one is the most expensive device?

f) Which one is the cheapest device?
6. Let's say and write the place name and place value of the circled digit.

a) 2 5 896 Place name Place value

b) 5 2978 Place name Place value

c) 78 1 34 Place name Place value

d) 6 3709 Place name Place value

e) 495 4 7 Place name Place value

It's your time!

7. Let's circle a digit and write its place value. Remember, you cannot circle the
same place more than one time.

a) 5436 b) 8941 c) 7777

d) 13574 e) 27605 f)99999

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100 200 300 400 500 600 700 800 900 1000

!))) @))) #))) $))) %))) ^))) &))) *))) ())) !))))
Ps xhf/ b'O{ xhf/ tLg xhf/ rf/ xhf/ kfFr xhf/ 5 xhf/ ;ft xhf/ cf7 xhf/ gf+} xhf/ bz xhf/

1000 2000 3000 4000 5000 6000 7000 8000 9000 10000

!= ca tnsf k|Zgx¿sf] pQ/ n]vf+} x} t .

s_ ()) sltj6f cs+ n] ags] f] ;+Vof xf] <

v_ !,))) sltj6f c+sn] ags] f] ;+Vof xf] <

u_ !),))) sltj6f c+sn] ag]sf] ;+Vof xf] <

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u_ ;ft ;o krxQ/ 3_ 5 ;o tO] ;

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em_ bz xhf/ kfFr ;o `_ rf}aL; xhf/ bO' { ;o bz

vedanta Excel in Mathematics - Book 3 58 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

bj] gfu/L ;+Vof
#= ca tnsf ;+Vofx¿sf] gfd nv] f+} x} t .

s_ @!) v_ *()

u_ @,#)) 3_ %,&%)

ª_ !),!()

r_ #@,^&)

$= c+u|]hL ;+VofnfO{ bj] gfu/L ;+Vofdf nv] f}+ / ;V+ ofsf] gfd klg nv] f}+ x} t .

a) 450

b) 936

c) 1270

d) 8,848

e) 15,200

%= tnsf tYox¿df ePsf b]jgfu/L ;+VofnfO{ c+uh]| L ;+Vofsf] gfddf nv] f+} x} t .

a) xfd|f] bz] gk] fn em08} !@% hfthftLx¿sf] ;femf km"naf/L xf] .

Number of ethnic groups in Nepal is

b) gk] fndf em08} **^ kh| fltsf r/fx¿ kfOG5g\ .

Number of birds species found in Nepal is about

c) gk] fn ljZjsf] ;jf]r{ lzv/ ;u/dfyfsf] b]z xf] . ;u/dfyfsf] prfO{ **$( ld6/ 5 .

The height of Mt. Everest is

ca ltd|f] kfnf] Û
^= $ c+s ePsf bO' {j6f b]jgfu/L ;V+ ofx¿ nv] / ;+Vofsf] gfd klg n]v .

s_

v_ 59 vedanta Excel in Mathematics - Book 3

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Roman Numerals

These are Hindi-Arabic numerals. 0 1 2 3 4 5 6 7 8 9 10
These are Roman numerals. I II III IV V VI VII VIII IX X

In Roman number system, there are 7 symbols to represent different numbers.

Roman Numbers IVX L C D M
Hindu-Arabic Numbers 1 5 10 50 100 500 1000

There are no special symbols for 2, 3, 4, 6, 7, 8 and 9.

There is no zero in Roman number system.

In this class, we will write the Roman numbers using only four symbol I, V, X and L.

Now, let's learn the conversion rules of Roman numerals to Hindu-Arabic numerals.
Rule 1: We can repeat the symbol I and X maximum three times. The repetition of

these symbols means addition.

Let's learn from these example.

I = 1, II = 1 + 1 = 2 and III = 1 + 1 + 1 = 3

X = 10, XX = 10 + 10 = 20 and XXX = 10 + 10 + 10 = 30

Remember! The symbol V is never be repeated.
Rule 2: If a smaller symbol comes before a larger one, the value of the numerals is the

difference of the values of the symbols.

Let's study the examples and learn about it.

IV = 5 – 1 = 4, IX = 10 – 1 = 9, XL = 50 – 10 = 40 and so on.

Rule 3: If a smaller symbol comes after a larger one, the value of the numeral is the
addition of the values of the symbols.

Let's study the examples and learn about it.

VI = 5 + 1 = 6, VII = 5 + 2 = 7 VIII = 5 + 3 = 8, XIII = 10 + 1 + 1 + 1 = 13

XXV = 20 + 5 = 25 XXXVI = 30 + 6 = 36 LVIII = 50 + 8 = 58, and so on.

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Roman Numerals

Now, let's learn to convert Hindu-Arabic numerals into Roman numerals.

6 = 5 + 1 = VI, 7 = 5 + 2 = VII, 8 = 5 + 3 = VIII

19 = 10 + 9 = XIX, 28 = 20 + 8 = XXVIII, 39 = 30 + 9 = XXXIX

42 = 40 + 2 = XLII, 49 = 40 + 9 = XLIX, 55 = 50 + 5 = LV

Classwork – Exercise
1. Let's say and write the Hindu-Arabic numerals for these Roman numerals.

a) I = b) V = c) X = d) L = e) IV =

f) VI = g) VII = h) VIII = i) IX = j) X =

k) IX = l) XI = m) XX = n) XXX = o) XL =

2. Let's convert Roman numerals into Hindu-Arabic numerals.

a) III = b) VII = c) XIV =

d) XVI = e) XIX = f) XXI =

g) XXIX = h) XXXV = i) XLIII =

j) XLVII = k) LII = l) LIX =

3. Let's convert Hindu-Arabic numerals into Roman numerals.

a) 6 = b) 8 = c) 11 =

d) 17 = e) 24 = f) 29 =

g) 36 = h) 44 = i) 53 =

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Evaluation Model

1. Let's circle the correct answer as quick as possible. (1 × 10 = 10)

a) The place value of 5 in 5004 is 500 5000 50000
b) What comes just after 2999? 3000 300 30000

c) The short form of 7000 + 50 + 6 is 70506 7506 7056

d) Devanagari numeral for 9385 is !#*% (#*% (#%*

e) What is the product of 300 × 40? 12000 1200 120000

f) The remainder of 35 ÷ 4 is 48 3

g) What is the sum of 1 + 1 12 2
5 5 55 10

h) The fraction of the shaded diagram is 3 8 5
8 3 8

i) How many centimetre are there in 50 mm? 500 cm 5 cm 0.5 cm

j) How many grams are there in 3 kg? 3000 g 300 g 30 g

2. Let's answer the following questions. (1 × 10 = 10)

a) How many digits are there in the numeral 6001? ............................

b) The cost of a mobile is seven thousand two hundred rupees.

Write the cost in numeral. ................... rupees.

c) What is the place value of 9 in 4980? ............................

d) What is the sum of 3000 + 25? ............................

e) What is the product of 200 × 7 ? ............................
............................
f) What is the difference of 2 – 1 ............................
33 ............................
............................
g) How many metres are there in 3000 cm?
............................
h) How many millilitres are there in 1 l 500 ml?

i) What is the sum of 2x + 3x?

j) What is the name of the given angle O B

A?

vedanta Excel in Mathematics - Book 3 228 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Evaluation Model

3. Find the perimeters of the following igures. (1 + 1 = 2)
(2 × 1 = 2)
a) A b) P 6 cm S
6 cm 3 cm
4 cm 3 cm 3 cm R

B 5 cm C Q

Perimeter = ................................ Perimeter = ................................

4. The area of each room is 1 sq. cm. Find the area of the following igures.

a) b)

Area = ................ sq. cm Area = ................ sq. cm

5. Let's answer following questions. (6 × 2 = 12)

a) Arrange the numbers 2001, 2100, 2010 in increasing and in decreasing order.

Increasing order .................................... Decreasing order ....................................

b) Let's write the numeral and number name from the given abacus

Th H T O

Numeral: ....................................

Number name: .........................................................................................

c) Let's write the fractions of the shaded parts and the crossed part. Then
subtract.

××× ...............................................................
×××
×××

d) Let's write the time shown by the clocks using a.m. or p.m.

.................................. ..................................

afternoon 229 morning

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Evaluation Model

e) How many times, how many dots?
............... × ................ = ................

f) Let's draw circles and group the dots to show the division. Then ind the quotient.

18 ÷ 6 = .................. (2 × 2 = 4)
5. Let's ill in the missing numbers to complete the sums.

+ 8 = 15 5× = 20

a) + – + b) × × ×
–= ×3=

=== ===

16 + 5 = 10 × =

6. Let's add, subtract, multiply or divide. (4 × 2 = 8)

a) 5 3 7 5 b) 9 7 0 0 c) 6 2 4 d) 9) 918 )
+2869 – 4256 ×5

7. Let's add or subtract the units of measurement. (2 × 2 = 4)

a) 24 m 70 cm b) 36 l 840 ml
+ 16 m 35 cm – 18 l 650 ml

8. Simplify: (2)

a) 24 ÷ 3 × 2 + 5 – 6 = .................................................................................................................

b) Let's write the fractions in decimal and decimal in fraction. (1 + 1 = 2)

(i) 7 = ......................... (ii) 0.07 = .........................
10

9. Let's write the digits at ones, tens, hundreds and thousands places. Then write the place

values. (2)

vedanta Excel in Mathematics - Book 3 230 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur

Evaluation Model

75 8 2 O=
T=
H= Evaluation Model
Th=

10. Let's write the corners, sides and name of these plane shapes. (2)

a) D C Corners are , , and
A Sides are , , and

B It's name is

b) Each cube represents the volume of 1 cu. cm. Find the volume of the following

solids. (2)

(i) (ii)

Volume =........................ Volume =........................
(2 × 2 = 4)
11. Let's add or subtract the like fractions.
(8 × 4 = 32)
a) 2 + 3 =........................................ = ....................
7 7

b) 4 – 2 =........................................ = ....................
5 5

12. Study the problems carefully and solve them.

a) The price of a mobile is Rs 8,650 and the price of a watch is Rs 5,975. By
how much is the mobile more expensive than the watch.

The mobile is more expensive by .............................

b) In a school assembly students are arranged in 15 rows with 18 students in
each row. How many students are there in the assembly.

There are ......................... students.

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Evaluation Model

c) Sita cut a cake into 8 equal pieces and she gave 2 pieces to her brother and 3 pieces to her
mother. What fraction of the whole cake did she give them in total?

She gave .........................................................................................................

d) A restaurant chef cut a cheese into a few number of equal pieces and took 7 parts of the
whole cheese to make a pizza. 10

(i) In how many pieces was the cheese cut into? ......................................................

(ii) What fraction of the whole cheese was left with the chef? ...........................

e) There calraess3?2..s..t..u...d..e...n..t..s...i..n...a....c..l.a...s..s...a..n...d....14....o...f..them are girls. How many girls and boys are there
in the

f) There are 30 men, 50 women and 20 children in a wedding party.

(i) How many people are there in the party? ........................................................

(ii) How many percent of people are men, women and children? .....................

g) If the cost of 5 kg of rice is Rs 450, ind the rate of cost of rice. ..........................

h) A jar of water has 12 l 300 ml of water. When you poured 8 l 200 ml of water into the jar it
becomes full. Find the capacity of the jar. .........................................

13. Let's study the bar graph and answer the following questions. (2)

Favourite sportsNumber of students
10

9
8
7
6
5
4
3
2
1
O Apple Orange Grapes Mango Gauva

Fruits

a) How many students like apple?

b) How many students like mango?

c) How many more students like orange than guava?

d) Which one is the most popular fruit among them?

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