PREFACE

DPSGMR/ 2021-22/3/NUMERACY/UI 1

“Numeracy is not just doing math, but using and applying math.”

The aim of studying large numbers and the development of numeration system, both

ancient and modern, is to learn, how to use a wealth of mathematical background

in real-life.

Understanding -1 booklet deals with the introduction of the concept of the

number and the number system. It focuses on how to read, write, and order

them according to their magnitude, round-off large numbers, and estimate

large quantities in everyday life.

The booklet follows a coherent and structured approach to understanding numbers.

It provides a seamless continuity that helps the learners develop numeric

and problem-solving skills.

Revision worksheets and the additional question banks are assets given at the end

for a comprehensive revisit of the concept. Colorful pictures and age-appropriate

explanations have been included while keeping in mind the young learners.

Suggested Central Idea:

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Numbers are used to describe quantities, compare
quantities, to identify specific objects in collection
and help us to function better in world.
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Function: The base 10 value system is used to represent

numbers and numbers relationship.
Connection: How are different places in the place value chart
related to each other?

Related concepts
 System
 Representation

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Thinker

ATL
 Thinking skills
 Social skills

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Learning Outcome

By end of UI I will be able to

 Understand the Indian place value chart- Thousands, Hundred tens and ones
 Understand that each digit has a place value and face value in the given number
 Apply the knowledge of Indian place value chart-Thousands, Hundred tens and ones
in marking periods
 Apply the knowledge of place value in writing the number name for the given
numeral
 Show the numeral through abacus
 Arrange the chosen numeral in expanded form and vice versa
 Compare the numbers using < , > , = signs correctly
 Arrange numbers in ascending and descending order
 Infer predecessor & successor of the given numeral
 Formulate largest and smallest number by chosen digits.
 Discriminate between even and odd numbers.
 Understand the importance and rules of rounding off.
 Investigate and apply the different strategies of rounding off.
 Estimate the amount in real life situations.

Structure of UI

5-digit number
Place value chart
Expanded form and short form
Abacus
Comparison of numbers
Ascending and descending order
Successor and Predecessor
Even and odd number

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Rounding off
Unit Provocation:
Guessing game
How do numbers work?
How does the number help us to interact with
the world around us?
What if we did not have numbers?
How are words and numbers related?
Are numbers discovered or invented?
Are digits discovered or invented?

Let ’ recall:
The learners will sit in groups of 3. Each child
will be given one digit and they will be asked
to make a number the other student will read
the number (recap of three-digit number).

What comes before that

number? What comes after that
number?

What comes before

781?___ What comes after 233?
___

Which is greater between

What is expanded form of
115 or 151?
6 451?
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New words

thousand
ascending order
descending order
successor
predecessor
even number
odd number
round off
nearest ten

Research links:
Inquiry into numbers
https://www.youtube.com/watch?v=cZH0YnFpjwU
https://www.honorsgradu.com/inquiry-into-numbers/

Parental support:
Focus on their learning process and not on the product.
Take time to discuss their ideas, wonders, and problems so
they can come up with solutions.

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TOPIC: LARGE NUMBERS (FUN WITH NUMBERS)

Numbers beyond 999

Why do we need more periods in the number system?

4- Digit number
If we add 1 to the greatest 3-digit number,
we get 1000, which is smallest 4-digit number.
999 + 1 =1000
We read 1,000 as ‘one thousand’
9,999 is the greatest 4-digit number.
We read 9,999 as ‘nine thousand nine hundred ninety-nine’

Th H T O
Smallest 4-digit number 1 0 0 0
Greatest 4-digit number 9 9 9 9

5- Digit number
If we add 1 to the greatest 4-digit number, we get 10,000 which is smallest 5-digit number.
9,999 + 1= 10,000
We read 10,000 as ‘ten thousand’.
99,999 is the greatest 5-digit number.
We read 99,999 as ‘ninety nine thousand nine hundred ninety nine’.
TTh TH H T O
Smallest 5-digit number 1 0 0 0 0
Greatest 5-digit number 9 9 9 9 9

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PLACE VALUE CHART

THOUSANDS ONES
Ten Thousands Thousands Hundreds Tens Ones
(TTh) (Th) (H) (T) (O)

TTh Th H T O
3 7 5 4
4 6 2 9 1
 Starting from extreme right, you know
that the first column is the ‘ones’
column (O), then the ‘tens’ column (T), and then the ‘hundreds’ column (H). For 4-
digit numbers, we add one more column called the ‘thousands’ column (Th). For 5-
digit numbers, we add another column called the ‘ten-thousand’ column (TTh).
3754
Ones place : 4 ones : Place value= 4 x1 or 4
Tens place : 5 tens : Place value = 5 x 10 or 50
Hundreds place : 7 hundreds : Place value = 7 x 100 or 700
Thousand place: 3 thousands : Place value= 3 x 1000 or 3000
 The next number is a 5-digit number. The number has 4 ten thousand 6 thousands 2
hundreds 9 tens and 1 ones. In numerals it is written as 46,291 and its number name
is, ‘forty six thousand two hundred ninety one’.
46291
Ones place: 1 ones: Place value= 1 x1 or 1
Tens place: 9 tens: Place value = 9 x 10 or 90
Hundreds place: 2 hundreds: Place value = 2 x 100 or 200
Thousand place: 6 thousands: Place value= 6 x 1000 or 3,000

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Ten thousands place:4 ten thousands: Place value = 4 x 10000 or

40,000
EXPANDED FORM AND SHORT FORM
Observe the place value chart given below-
TTh Th H T O
4 8 0 9
3 5 7 2 1

4,809 = 4 thousands + 8 hundreds + 0 tens + 9 ones

4,809 = 4000 + 800 + 9
35,721 = 3 ten thousands + 5 thousands + 7 hundreds + 2 tens + 1 ones
35,721 = 30000 + 5000 + 700 + 20 + 1
Short form Expanded form
(a) 23734 20000 + 3000 + 700 + 30 + 4
(b) 1089 1000 + 80 + 9

NUMBERS ON THE ABACUS

5- Digit numbers
The greatest 4 digit number is 9,999.
9999 + 1 = 10,000 which is a 5 digit number.
Therefore, a new rod for ten-thousands place (TTh) will be added to the abacus.
Fifty one thousand six hundred forty three

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COMPARISON OF NUMBERS (<, >, =)

We know: The crocodile’s mouth always opens towards bigger
number.
COMPARISON OF NUMBERS WITH DIFFERENT DIGITS
Example: Which is greater 2,987 or 15,315?

TTh Th H T O
2,987 has 4 digits
2 9 8 7
15,315 has 5 digits
1 5 3 1 5
Therefore, 15,315 > 2,987.
COMPARISION OF NUMBERS WITH SAME DIGITS
Example: Compare the numbers 23,781 and 23,785

TTh Th H T O  Compare the digits in the ten thousands place: 2 = 2

2 3 7 8 1  Compare the digits in the thousands place :3=3

2 3 7 8 5  Compare the digits in the hundreds place :7=7

 Compare the digits in the tens place :8=8
 Compare the digits in the ones place 1 < 5
 Therefore, 23,781 < 23,785.
ASCENDING AND DESCENDING ORDER
Ascending order means smaller to greater
In ascending order, we start with the smallest number and end up with the greatest number.
Example: 231, 82121, 123, 98 98 < 123 < 231 < 82,121
Descending order means greater to smaller
In descending order, we start with the greatest number

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and end up with the smaller number.

Example: 98,451, 700, 89,999, 2,324, 9
98451 > 89,999 > 2,324 > 700 > 9
SUCCESSOR AND PREDECESSOR
The number that comes just after a given
number is called its successor. Successor is
another way of saying what comes next.
The number that comes just before a given
number is called its predecessor. Predecessor
is another way of saying what comes just
before. e.g.

Predecessor Number Successor

5,785 5,786 5,787
12,588 12,589 12,590

FORMING GREATER AND SMALLEST NUMBER

To build the greatest number write the digits in descending
order- greatest to smallest.
To build the smallest number write the digits in ascending
order- smallest to greatest.
Arrange the given digits (4, 8, 9, 1, 0) to build greatest
number. 98,410
Arrange the given digits (4, 8, 9, 1, 0) to build smallest number. 10,489
ASSIGNMENT –I
Q1. Insert period in the given numeral:
a) 3152 b) 20202 c) 52185 d) 45505 e)
My question
Q2. Write counting from 9,950 to 10,110

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Q3. Write the number name for the given numerals:

a) 2,113 b) 35,011 c) 23,902

Q4. Write the numeral for given number names:

a) Twenty five thousand three hundred fifty
b) Sixty eight thousand two hundred forty three
c) Four thousand four hundred ninety three

Q5. Write the place value of the underlined digits in 2 ways:

a) 2,358 b) 3,508 c) 41,109
Q6. Write expanded form in two ways for the given numeral:
a) 45,130 b) 75,428 c) 28,405

Q7. Write the numeral for the following:

a) Seven thousand five hundred fifteen b) 20000 + 100 +5
c) Fifty thousand nine hundred twenty d) 50000+30 + 1
e) 7 TTh + 2 TH + 5 T +8 O f) 1TTh + 5 H+6 T

Q8. Compare and put appropriate sign (>, <, =)

a) 40,850 ______ 50,805
b) 23,010 _______23, 001
c) 53,883 _______ 62,999
d) The largest two digits number ______The smallest three digits number.

Q9. Arrange the following in ascending order with the correct sign.
a) 11,035 11,320 11,034 11,313
b) 32,310 23,540 23,013 23,655
Q10. Arrange the following in descending order with the correct sign.
a) 43,004 45,030 45,020 54,302
b) 24,108 34,880 24,012 34,120
Q11. Write the predecessor of the given numerals.
a) 20,890 b) 51,640
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c) 79,801 d) 75,215

Q12. Write the successor and predecessor of the given numerals.

a) 25,893 b) 44,550
c) 32,399 d) 24,219
Q13. Draw abacus for the given numerals and write their number names:
a) 13,102 b) 20,831 c) 24,513

EVEN AND ODD NUMBERS

 All numbers that have 0, 2, 4, 6 or 8
at the ones place called even numbers.
e.g. 120, 6742, 3214, 87236, 51218
 All numbers that have 1, 3, 5, 7 or 9 at one’s
place are called odd numbers
e.g. 201, 423, 5275, 71237, 44329
Q1. Fill in the blanks:
a) 11+15 = _________ . It is an ________ number.
b) 45+ 55 = _________ . It is an ________ number.
c) 61 + 82 = _________. It is an _______ number.
d) 22 + 45 = __________.It is an________ number.
Q2. In the following grid colour all even numbers with green and all odd numbers
with red.
24,222 35,505 14,000 33,208

27,603 44,204 26,909 27,877

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Q3. Match the following.

a) Five thousand four hundred eighteen 48
b) 1000 more than 7639 3970
c) 7 thousands, 8 hundreds and 9 ones 9309
d) Number of tens in 480 8639
e) 3000 + 900 +70 5418
f) 1000 less than 1167 7809
g) Number just before 9310 167
ASSIGNMENT –II

Q1. I am greater than 14 but less than 18.

I am an odd number I am _____
The sum of digits is 8

Q2. Who am I?
I am _____
I am a 5-digit number.
All my digits are the same.
The sum of all digits is 30
Q3. My tens digit is one less than my one’s digit . I am _____
My hundreds digit is two less than my tens digit .
I have 8 ones.
Q4. I have 39 tens and 2 ones. I am _____

I am more than 3 hundreds and less

than 4 hundreds.
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Q5. Which of the following numbers have 5 at hundreds place?

a. 20,215 b. 5112 c. 9705 d. 4502

Q6. How many 3digit numbers are formed by using the digits 1, 2, 0?
a. 2 b. 6 c. 4 d. 210

Q7. Sum of even numbers lying between 5 and 13 is

a. 7 b. 16 c. 36 d. 27

Q8. The predecessor of the difference of 201 and 100 is

a. 200 b. 20 c. 2000 d. 100

VALUE BASED QUESTION

Q. Manas has 25 apples. But his friend Aryan had no apple. Seeing this Manas was
reminded of the EVMS lesson ‘Sharing and Caring’ He immediately gave 1
apple to his friend. Aryan who in turn was very happy seeing the red juicy apple
and gulped it all.

 Apples left with Manas is 1 less than the original number of apples he had.

What term will you attach with the new number? (successor/predecessor)

 If Manas gets 1 more apple from his mother, the new number of apples will be
(24+1).

 What will this total be called? (successor/predecessor)

Moral Value-__________________________________________________

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TOPIC: ROUNDING OFF

(to the nearest tens place)

Two methods of rounding tens

ROUNDING OFF ON NUMBER LINE:
Example-1

Draw a number line to round off the number

74 to the nearest 10. The digit 7 is in the

Mark 70, 75 and 80 (Both possible rounded off numbers and the number in
the middle).
Now try to figure out if the number 74 is smaller than or bigger than 75 on
the number line (is it to the left or to the right of 75).

# If it is smaller than 75, we round it off to 70.

# If it is 75 or bigger, we round it off to 80 (round up).
# Since 74 is smaller than 75 round it to 70.
Example-2 Round off 24

Draw a number line with 3 numbers on it: 20, 25, 30.

(Both possible rounded off numbers and the number in the middle.)

20_____________________25_____________________30

24

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20 21 22 23 24 25 26 27 28 29 30

CIRCLE AND UNDERLINE METHOD

0, 1, 2, 3, 4 5, 6, 7, 8, 9, 10

+0 +1
Let’s do an example:

We take number 23. To round off any number, we always consider tens place digit!

Which digit is at it’s tens place? Its 2. Circle the digit first.

Now look at the digit at ones place. It is 3.

Which category does 3 fall in the above brackets?

Yes. It falls in first bracket. That means you will have to round off 3 to zero as it is
less than 5. So when we round off 23 to the tens place, the answer is 20.

Similarly, if you have to round off 15, the digit 5 falls in the second bracket, so you
will add 1 and the digit at tens digit i.e. 1+1 = 2 and make the digit at ones place

as zero. The answer will be 20.

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Q1. Round off the following numbers to their nearest ten’s place:
a) 32 b) 16 c) 34 d) 29
e) 212 f) 213 g) 331 h) 248

QUESTION BANK
Q1. Put the correct sign < , > , =

a. 3478 _______ 5320

b. 6892 _______ 6789

c. 8542 _______ 8452

Q2. Circle the largest number:

a. 4327 4273 4723 4732

b. 6531 6351 6513 6153

c. 9827 9782 9872 9287

Q3. Circle the smallest number:

a. 2574 2475 2754 2457

b. 3012 3102 3201 3021

c. 9528 9258 9852 9285

Q4. Write the greatest 4- digit number using given digits

a. 0, 3, 3, 6 - ___________________________________________

b. 8, 7, 1, 9- ___________________________________________

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c. 9,3,6,5- ___________________________________________

Q5. Arrange the following in ascending order with the correct sign.
a) 21,031 22,320 81,034 10,280
_________________________________________________________
b) 32,310 32,450 21,013 11,605
_________________________________________________________
Q6. Arrange the following in descending order with the correct sign.
a) 43,010 15,030 45,020 14,302
________________________________________________________
b) 76,108 14,880 14,200 14,210
_________________________________________________________
Q7. Write the successor of the following numbers:

a. 5342 = ____________ b. 8910 = ____________

c. 7589= ____________

Q8. Write the predecessor of the following numbers:

a. 6243= ____________ b.7387= ____________

c. 5490= ____________

Q9. Write the place value of the underlined digits in the following numbers:

a. 7,839 = ____________

b. 9,005 = ____________

Q10. Write the given numbers in expanded form:

a. 21,212-___________________________________________

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b. 9
CLOSURE WORKSHEET
2
,145-___________________________________________

Q1. Insert the period in the given numerals and write number name.

a. 25627 - __________________________________________________________
_________________________________________________________
b. 35245 - ________________________________________________________
________________________________________________________

Q2. Write the place value of the underlined digits in 2 ways.

a. 4,345 ________________ b. 59,560 _____________

_________________ _____________

Q3. Write expanded form in two ways for the given numeral.

a. 34,836 – __________________________________________________________
___________________________________________________________

Q4. Compare and put the appropriate sign ( < , = , > )

a. The smallest four digit number The largest three digit number
b. 53,303 53,330
c. eight thousand forty six 8,446
d. 49,300 forty nine thousand three hundred
e. 23,100 23,110

Q5. Arrange the following in ascending order with the correct sign.

a. 35,550 / 30,500 / 35,505 / 30,550

_____________________________________________________________
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Q6. Arrange the following in descending order with correct sign.

a. 57,445 / 57,554 / 57,454 / 57,444

Q7. Write the predecessor and successor of the given numeral.

Predecessor Successor
a. 44,399 - ________________ ________________
b. 20,740 - _________________ ________________

Q8. Write the numeral for the following:

a. 30,000 + 400 + 5 -
b. 8TTH + 2TH +3T +5O -
c. Forty thousand eight hundred ninety six -
d. Sixty thousand eight-

Q9. Form largest and smallest 5 - digit number using the given digits
Largest Smallest

a. 4,0,2,9,3 ______________ _________________

b. 9,4,5,2,1 ______________ __________________

Q10. Round off the following numbers to their nearest ten’s place:

a) 332 b) 167 c) 945 d) 6529

Puzzle Time

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MATHEMATICA

Things to remember:

 1 Dozen = 12 units
 1 Decade = 10 years
 Century = 100 years
 Score = 20 units
 Gross = 144 units
 Fortnight = 14 days
 1 Week = 7 days
 Leap year = 366 days
 1Day = 24 hours
 1 Hour = 60 minutes
1 Minute = 60 seconds

TICK THE APPROPRIATE EXPRESSION ON THE BASIS OF NUMBER OF CORRECT ANSWERS

BELOW 7 7-10 11& ABOVE

https://www.google.com/search?q=CLIPART+OF+SMILEY+THUMBS+UP+DOWN+AND+CENTRE&tbm=isch&ved=2ahUKEwi8-tfZjJbvAhUxkEsFHYnQA44Q2-

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MENTHAMATICA: 1

1. 5000 = tens

2. 30 tens - 40 ones =

3. Place value of 9 in 2963 =

4. 3 thousands + 3 tens + 6ones =

5. 2 thousands – 40tens = hundreds

6. 3 thousands + 50tens = hundreds

7. 50 hundreds + 40 tens= tens

8. Place value of 5 in 75,439.

9. 70 tens + 7ones =

10. 6 thousands + 5tens =

11. 9000 + 2 ones =

12. 2307 –7ones =

13. 64 more than 8005 =

14. Nipun’s car number has six at thousand’s place, one more than this digit at
hundred’s place and the smallest digit at tens and unit place. Nipun’s car
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number is

15. Rashmi ‘s lucky number is 10 tens more than the smallest digit. Her lucky
number is

16.
My question:

TICK THE APPROPRIATE EXPRESSION:

https://www.google.com/search?q=CLIPART+OF+SMILEY+THUMBS+UP+DOWN

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My Reflection:
What were the main
mathematical concepts or
ideas that you learned?

What questions do you

still have about Describe a mistake or
numbers? misconception that you had. What
did you learn from this mistake or
misconception?

__________________________________________________________________

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

_________________________________________________________________

________________________________________________________________

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ACKNOWLEDGEMENTS:

Sources adapted from-

 https://www.google.co.in/search?q=large+numbers+for+class+3
 https://www.math-only-math.com/worksheet-on-large-numbers.html
 https://www.studyadda.com/question-bank/3rd-class/mathematics/numbers/numbers/2418
 https://www.math-only-math.com/worksheet-on-large-numbers.html
 https://www.studiestoday.com/mcq-mathematics-cbse-class-3-mathematics-fun-numbers-mcqs-
294777.html
 https://www.urbanpro.com/cbse-class-3-maths-numbers-worksheets
 https://www.google.com/search?q=clipart+of+rounding+off+to+nearest+tens&oq=clipart+of+roun
ding+off+to+nearest+tens&aqs=chrome..69i57j33i22i29i30l3.8940j1j4&sourceid=chrome&ie=UT
F-8

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