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Chapter 4

Thousands Around Us

0433CH04
Jaspreet and Gulnaz are organising a langar (a community lunch) in their neighbourhood Gurudwara. They expect around one thousand (1000) people to be fed on that day. Fifty-five people volunteer to serve during this event. Jaspreet and Gulnaz receive many donations.

langar

The donations are shown in the table below. Write the number in each case.

Donations Quantity Number
Rice quantity
flour 4 Ones + 7 Tens
pulses matchsticks
pumpkin 100 - 7
plates plates

Note for Teachers: Support children in revising the different representations for 2- and 3-digit numbers through such tasks.

Donations Quantity Number
bucket matchsticks
oil Twelve
salt 10+10+10+10+10
sugar 60-7060 ? 70
glasses Ten more than three hundred twelve

Jaspreet and Gulnaz record the number of people who come for the community lunch at different times.

Write the time and draw the number of people who had food at different time slots using HTO blocks as shown below.

12.30 52 people
1.00 145 people plates
1.30 325 people
2.00 508 people

The time slot when the most number of people came for lunch is __________.

The time slot when the least number of people came for lunch is __________.

Let Us Do
1. (a) Make 3-digit numbers using the digits 3 and 7. Write the numbers in the boxes given below. Circle the smallest and cross out the largest.

333 ___ ___ ___
___ ___ ___ ___

(b) Make six 3-digit numbers using the digits 3, 5, 0, 8 such that all numbers are less than 550. You can repeat the digits.

___ ___ ___ ___ ___ ___

(c) Mark the numbers you made in 1(b) on the number line. number line 200 250 300 350 400 450 500 550 600

2. Fill in the blanks with appropriate numbers.

a) snakes
b) train
c) pumpkins
d) car
e) fishes

As we have learnt in Grade 3, the Indian system of writing numbers, which we have been learning and practising in school to write and add and subtract numbers, was discovered in India around 2000 years ago, and is now used around the world. This system was designed so that we can write all numbers, no matter how large they are, using just the ten symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Till now, we have learnt how to write all numbers from 1 to 999. Now let us explore how to write numbers one thousand and larger in the Indian number system!

You remember that Gulnaz and Jaspreet had kept track of the people who came for the community lunch.

Let us see how they did it.

calculations How many people came for the community lunch? ________

Fill in the blanks with appropriate numbers.

appropriate numbers

Note for Teachers: Let children notice how numbers beyond 1000 are written. Lead them to read these numbers and write the numbers.

3. Identify the range of numbers most suitable for the following situations. Share your thoughts.

Number of children in your village Only 1 Number of books in your classroom
Number of teachers in your school 2 to 5 Number of fingers in your classroom
Number of tables in your classroom 10 to 50 Number of leaves in a tree
Number of books in your library 50 to 100 Number of letters on this page
Number of leaves in a plant 100 to 200 Number of children in your school
Number of pages in your math textbook 200 to 500 Number of girls in your school
Number of ants in an anthill 500 to 1000 Number of steps to reach school
More than 1000

Identify things around you that are more than 1000 in number.
_______________________________
_______________________________
_______________________________

1000s AROUND US


The Thousand Pillars Temple, or Saavira Kambada Basadi, is the most famous among the 18 Jain temples in Moodubidiri town, Karnataka. Built in the 1500s by the local ruler Devaraya Wadiyar, each of its thousand pillars is decorated with unique rock carvings.

karnataka

Did you know?

The Indian rhinoceros is found in the foothills of the Himalayas in Northeast India. Floods and medicinal value of their horns have led to a reduction in their population. In the early 1900s, their population was driven to near extinction with as little as 200 rhinoceroses. But with recent conservation measures, there are now around 4000 (four thousand) rhinoceroses.

Rhinoceros

My country

India is a country with a rich cultural heritage. It has 788 districts. These districts are divided into about six lakh villages, each with its own unique traditions and practices. India has over 7500 kilometres (Seven thousand five hundred) of coastline on three sides. Our country’s history goes back over 5000 years (Five thousand), and we celebrate more than 1000 festivals.

One Thousand (1000)

You have seen how to visualise one (1), ten (10) and one hundred (100) using Dienes Blocks.

1-100

Let us now learn about one thousand (1000) using Dienes Blocks.

Counting is easy when we group in Tens
blocks

Note for Teachers: Give learners the experience of grouping and regrouping in 1s, 10s, and 100s. The following pages have some examples of tasks to engage learners.

Zoltán Pál Dienes was a Hungarian mathematician and educator who developed Dienes blocks. These blocks represent different numerical values, and help students understand the idea of the Indian base-10 place value system of writing numbers and carrying out arithmetic operations on them.

Let Us Break Up One-Thousand
breakup thousands a) We are at 900. How much more to make 1000? ____

900 + ____ = 1000

b) Mark 800. How much more to make 1000? ____

800 + ___ = 1000

c) Mark 850. How much more to 1000? ___

850 + ____ = 1000

d) Mark 760. How much more to 1000? ____

760 + _____ = 1000

e) Mark 400. How much less is 400 than 1000? ____

1000 – ____ = 400

f) Complete the addition facts leading to 1000. orange numbers

Grouping and Regrouping

Look at the pictures below. Circle as many groups of 10 Ones or 10 Tens as possible. Write the final number against the following pictures.

grouping 34 3 Tens + 4 Ones = 34
group 250 2 Hundreds + 5 Tens + 0 Ones = 250
blocks ___ + ___ = ___

___ Tens + ___ Ones = ___
grouping ___ + ___ = ___

___ Hundreds + ___ Tens +

___Ones = ___

Circle groups of ten 1s, 10s, and 100s as many times as required in each of the following pictures. Fill in the empty boxes.

a)
14 Ones
14 Ones

1 Ten + 4 Ones = 14
Tens Ones
1 4
14
b)
23 Ones
23 Ones

____ Tens + ____ Ones = ______
Tens Ones
c)
1-27
1 Ten and 27 Ones

____ Tens + ____ Ones = ______
Tens Ones
d)
10-6
10 Tens and 6 Ones

1 Hundred + 0 Tens + 6 Ones = 106
Hundreds Tens Ones
1 0 6
106
e)
11 & 14
11 Tens and 14 Ones

___Hundred + ___ Tens +
___ Ones = ___
Hundreds Tens Ones
f)
1,12 and 14
1 Hundred, 12 Tens and 14 Ones

___Hundreds + ___ Tens +
___ Ones = ___
Hundreds Tens Ones

Let Us Solve
Identify and write the numbers for each of the following in your notebook. Draw pictures like these, if needed. draw a) 45 Ones
b) 39 Ones
c) 35 Tens
d) 86 Tens
e) 10 Tens and 1 Ones
f) 15 Tens and 23 Ones
g) 34 Tens and 12 Ones
h) 19 Tens and 10 Ones
i) 2 Hundreds, 13 Tens and 7 Ones

Numbers Beyond 1000 (One Thousand)

Thousands Hundreds Tens Ones
1 0 0 0
1000

Dienes Blocks Dienes blocks

Tokens We will use tokens in place of Dienes blocks for larger numbers.

tokens
Thousands(Th) Hundreds(H) Tens(T) Ones(O)
1 0 0 1
1001
One thousand one

1 Thousand + 0 Hundred + 0 Tens + 1 Ones = 1001

Look at the table below and fill in the blanks.

Tokens Expanded Form Th H T O Number Number Name
11000 1000 + 1 1001
1002 1002
1003 1003
1005 1 0 0 5
100010
1100 1000 + 100 1100 One Thousand One Hundred
1038 1038
10000
101000
30000 3000 + 0 + 10 + 9
1000100
101100

1. Write the numbers in a sequence—forward and backward as indicated.

a)sequence
1027 1028 __ __ __ __ __ __

b)bird-sequence
__ 2008 2009 __ __ __ __ __

c)truck-sequence
__ __ __ __ __ __ 4092 4893

d)frog-sequence
__ __ __ __ __ __ 8002 8003
Let Us Play
number rocket Make the place value slider. Children can take turns to increase or decrease the number as told.

a) 1895—increase the number by 1
b) 2785—increase the number by 10
c) 3369—decrease the number by 2
d) 5648—decrease the number by 10
e) 6487—increase the number by 20

Let Us Think
1. Ram wrote 7 Thousand 0 Hundreds 2 Tens 4 Ones as 724.

Is this correct?______

Write the correct number ______

2. Richa wrote 5 Thousand 6 Hundreds 0 Tens 3 Ones as 563.

Is this correct?______

Write the correct number_______
Number Line
1. Which of these numbers lie between 2226 and 3226? Circle the correct answers.

3316 3236 2236 2216 3126 3216

2. Do as instructed.

a) 1001 and 1038 are marked on the number line. Try to mark 1043, 1069, and 1084 on the same number line. 1000-1100 1000 1010 1020 1030 1040 1050 1060 1070 1080 1090 1100


b) Mark the following numbers on the number line below. 2025, 2080, 2175, 2245, 2295, 2310, 2390, 2430, 2460 2000-2500 2000  2100  2200  2300  2400  2500


c) Mark the following numbers on the number line below. 5512, 5548, 5590, 5636, 5673, 5695 5500-5725 5500 5525 5550 5575 5600 5625 5650 5675 5700 5725


d) Mark the following numbers on the number line below. 8679, 8990, 8923, 8763 8500-9000 8500 ______ ______ ______ ______ 9000
Let Us Play
Use the arrow cards (given at the end of the book) to make different numbers. Take turns giving a number for the grade to make using the arrow cards. Read aloud the number and express them in expanded form and in words.

play-game

3452 is made up of the cards 3000, 400, 50 and 2.

The expanded form of 3452 is 3000 + 400 + 50 + 2.

In words, 3452 is three thousand four hundred fifty two.

What cards are used to make 4085? Write it in expanded form and in words.
Find Me! Read aloud the numbers and locate them in the grid.
1. The number 3782.
2. Two thousand five hundred and seventy six.
3. A 4-digit number with all digits the same.
4. The smallest 4-digit number in this table.
5. The largest 4-digit number in this table.
6. A number more than 5000 and less than 5200.
7. A number between 5600 and 6300.
8. A 4-digit number all of whose digits can be found on a die. grid numbers

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

Note for Teachers: Ensure that children use the appropriate cards and that the arrows of each card overlap. They should not pick up individual digits, but appropriate Thousands, Hundreds, Tens and Ones. Teacher to point out the place-holder use of ‘0’ in writing numbers in the Indian place value system.
Let Us Solve
1. Use tokens of 1s, 10s, 100s, 1000s to identify the numbers and write them in the table.

a) 6 Tens and 22 Ones
b) 4 Tens and 12 Ones
c) 3 Hundreds, 14 Tens, and 8 Ones
d) 12 Hundreds, 18 Tens, and 2 Ones
e) 1 Thousand, 5 Hundreds, 10 Tens, and 17 Ones

TH H T O Number
a 0 0 8 2 82
b
c
d
e

2A. Circle the number that is bigger.

30 or 300
6000 or 600
6000 or 3000

2B. Circle the number that is smaller.

2 Ones or  2 Hundreds
5 Tens or 2 Thousands
7 Tens or  4 Hundreds

Note for Teachers: (1) Draw attention of children to the use of only ten digits 0–9 for writing all numbers, however large. Also, draw their attention to the order in which we read and write—first Thousand, then Hundred, then Tens, and finally Ones. (2A&2B). This exercise is to check that students understand the importance of units. 2 Hundreds is always more than 2 Tens or 2 Hundreds is more than 9 Tens.

COMPARING NUMBERS


Jaspreet and Gulnaz help to keep a record of the number of plates used in the Gurudwara every month. Use the signs < and > to find the month when a larger number of plates were used.

Feb-MarchFebruary: 1213           March: 2121
September-OctoberSeptember: ______      October: ______
November-DecemberNovember: ______      December: ______

Compare the numbers using the signs < and >.

3012 and 3102
3012
TH H T O
3 0 1 2

3102
TH H T O
3 1 0 2

Describe how you decided which number is the bigger one. Which position (Th, H, T, O) helped you to decide this?
Let Us Do
1. Compare the following pairs of numbers using < and >. Make a Th, H, T, O table, if necessary. Share your thoughts with the class.

a) 2190 _____ 2910 c) 1009 _____ 9001
b) 7087 _____ 7088 d) 982 _____ 1024

2. Order the prices of the following objects from smallest to biggest increasing order).

1986₹ 1986 1099₹1099 1899₹1899
______ < ______ < ______

3. The following women international cricketers have played 200 ODIs (One-Day International Matches). Listed below are their scores. Arrange the runs scored by them in increasing order (from lowest to highest).

Debbie Hockley 4064
Suzie Bates 5114
Karen Rolton 4814
Mithali Raj 7805
Charlotte 6002

red-box

4. Arrange the following mountain ranges in decreasing order of height from highest to lowest).

Mountain Range Height (in meters)
Kangchenjunga 8586
Mullayanagiri 1930
Chaukhamba I 7138
Bailadila Range 1276
Nanda Devi 7816
K2 8611
Kalsubai 1646

red-box

5. Use the signs <, =, > to compare the following.

a) 2 Tens + 4 Thousands + 3 Hundreds circle 2043
b) 2 Tens + 4 Thousands + 3 Hundreds circle 4320
c) 2 Thousands + 9 Hundreds + 9 Tens + 9 Ones circle 3000
d) 15 Ones + 9 Tens + 3 Hundreds circle 1593
e) 5000 + 30 + 4 circle 5034
f) 5000 + 300 + 4 circle 5340

6. Fill the blanks with digits 0–9 such that the numbers meet the condition.

a) 7_ _3 < 768_

b) 853_ < 8_3_

c) _2_1 < 5_2_

CHALLENGE!
There are 99 numbers strictly between 700 and 800 excluding 700 and 800. How many numbers are there strictly between 7000 and 8000?

Circle the correct answer:
   900     999     1000
Let Us Explore
1. Make as many four-digit numbers as possible using the digits 2, 3, 4, 7 without repetition. There are 24 different numbers possible. Find as many as you can and arrange the numbers in decreasing order in your notebook.

2. Compare with your friends to find what other numbers they have made. See if all of you together can come up with all the 24 numbers. How do you know that you have all possible such numbers?