Numbers
Summary
A number is a mathematical object used to count, measure, and label.
Examples are the natural numbers 1, 2, 3, 4 etc.
4 Digit Number
There are four digits in a four-digit number. According to their values, the digits are placed from right to left at one’s place, ten’s place, hundred’s place, and thousand’s place.
Example
1234
4 is in Unit place
3 is in ten’s place
2 is in Hundred’s place
1 is in thousandPlace
And it is read as One thousand two hundred and thirty four.
Exercise 2.1
Read the following numbers ? then write in words.
1)697 : Six hundred and ninety seven
2) 809 :Eight hundred and nine
3) 1576 :One thousand five hundred and seventy six
4) 5298 :Five thousand two hundred and ninety eight
5) 7005 :Seven thousand and five.
6) 9899 :Nine thousand eight hundred and ninety nine.
7) 7203 :Seven thousand two hundred and three
8) 8004: Eight thousand and four.
II. Write the following numbers in the place value chart.
The numbers which represent pictorially are written in the place value chart.
Example : 3594
| Thousand | Hundred | Tens | Unit |
| 3 | 5 | 9 | 4 |
1) 307
| Hundred | Tens | Unit |
| 3 | 0 | 7 |
2) 611
| Hundred | Tens | Unit |
| 6 | 1 | 1 |
3) 5926
| Thousand | Hundred | Tens | Unit |
| 5 | 9 | 2 | 6 |
4) 6000
| Thousand | Hundred | Tens | Unit |
| 6 | 0 | 0 | 0 |
5) 8888
| Thousand | Hundred | Tens | Unit |
| 8 | 8 | 8 | 8 |
III. Write the following numbers in Words.
Example : 2490 = Two thousand four hundred Ninety.
1) 3524 = Three thousand five hundred and twenty four.
2) 4967 =Four thousand nine hundred and sixty seven.
3) 8740 = Eight thousand seven hundred and forty
4) 8001 =Eight thousand and one.
IV. Write the number which is represented in the picture
in the place value chart and read.
TH H T U
1 3 2 6
2)Write the number which is represented in the picture
in the place value chart and read.
Th H T U
4 5 4 8
How to find a Succeeding number
To get the succeeding number of a given number, add ‘1’ to it)
Example: The Succeeding number of 6+1 is 7.
VI. Write the Succeeding number of
1) 6820 :6821
2) 3948:3949
3) 5201:5202
4) 7605:7606
5) 4200:4201
6) 3999:4000
7) 2829:2830
8) 3007:3008
Preceding: A Preceding is one which a number comes before a number.
Preceding number of 5863 is → (5863-1) = 5862
VII. Write the preceding number of 3925, 3926
1) 5438, 5439
2) 6399, 6400
3) 3569, 3570
4) 4899,4900
5) 4999,5000
6) 3826, 3827
7) 4998, 4999
Middle Number: is a number which come in the middle between the two number.
Example: The number between 4 and 6 is 5 so 5 is called the middle number.
VIII. Write the middle number.
- 2769, 2770, 2771
- 5490, 5491, 5492
- 3999, 4000, 4001
- 5888, 5889, 5890
Expanded form of numbers
Example:
In expanded form we write using numbers as follows
2 × 1000 + 4 × 100 + 9 × 10 + 6 × 1
∴ 2496 = 2000 + 400 + 90 + 6.
Exercise 2.2
I. Write the following numbers in the expanded form
1) 6487 = 6 x 1000+4 x 100+8 x 10+7 x 1
2) 2069 = 2 x 1000+0 x 100+6 x 10+9 x 1
3) 5004 =5 x 1000+0 x 100+0 x 100=4 x 1
4) 9678 = 9 x 1000+ 6 x 100+ 7 x 10+ 8 x 1
II. Write these numbers in general form
Example 3 × 1000 + 4 × 100 + 8 × 10 + 2 × 1
| TH | H | T | U |
| 3 | 4 | 8 | 2 |
=3482
1)1 × 1000 + 3 × 100 + 6 × 10 + 5 × 1
| TH | H | T | U |
| 1 | 3 | 6 | 5 |
=1365
2)4 × 1000 + 0 × 100 + 7 × 10 + 9 ×1
| TH | H | T | U |
| 4 | 0 | 7 | 9 |
=4079
3)8 × 1000 + 1 × 100 + 5 × 10 + 5 × 1
| TH | H | T | U |
| 8 | 1 | 5 | 5 |
=8155
4)6 × 100 + 3 × 10 + 2 × 1
| H | T | U |
| 6 | 3 | 1 |
=632
Place value – Face value
Place value is the value of each digit in a number.
Face value represents the actual value of a digit.
Example 1
4378 Face value is 3 place value is 3 x 100 =300
Match the following.
| Number Face value | Face value | Place value |
| 8532 | 3 | 3×10=30 |
| 3267 | 2 | 2×100=200 |
| 4673 | 4 | 4×1000=4000 |
| 9076 | 6 | 6×1=6 |
| 6978 | 9 | 9×100=900 |
Exercise 2.3
I.Fill in the blanks with suitable Numbers
1.The place value of 9 is 900 ,Its face value is 9
2.The place value of 70,Its face value is 7
II.For each question given below four alternates are given. Choose the correct answer and write it.
1) In 4267, the difference between the place value and face value of 6 is 54
a) 0 b) 1 c) 9 d) 54
2) In 3498 the difference of the place value and face value of 4 is 396
a) 496 b) 409 c) 396 d) 90
3) In 5435, the difference of the place values of 5 is 4995
a) 999 b) 4005 c) 4995 d) 5005
4) In 1694 the digit whose place value and face value are equal is 4
a) 0 b) 1 c) 4 d) 6
III.Write the missing numbers in the following sequence.
Example
1572, 1574, 1576, 1578,1580,1582
The difference of the two consecutive numbers is 1574 – 1572 = 2.
Hence write the sequence by adding 2 each time
∴ 1572, 1574, 1576, 1578, 1580, 1582
IV.Write the next numbers in the Series.
1)5240, 5250, 5260, 5270 5280 5290
2)8425, 8450, 8475 8500 8525 8550
3)5049, 6049, 7049, 8049 9049 10049
Exercise 2.4
Complete the number line by writing the missing numbers
II.Write the missing numbers in the following number series.
- 2326, 2330, 2334, 2338, 2342, 2346.
- 3650 , 3950 4250 4550, 4850 5150.
III. Underline the Greatest Number.
1)3247, 3280 , 3228, 2267.
2)5694, 5384, 5820 , 5973.
IV.Underline the smallest number.
1)8826, 8823, 8821, 8829
2)5747, 4768, 6000, 3899
Ascending order – Descending order
Ascending order:- Arranging the number from smallest to biggest
Descending order:- Arranging the number from biggest to smallest.
Example : 679, 368, 796, 697
Ascending order : 368, 679, 697, 796
Exercise 2.5
I.Write The Numbers In Ascending Order.
1. 5839, 5093, 5872, 5829
Ascending Order: 5093, 5829, 5839, 5872
2. 2167, 1679, 3847, 500
Ascending Order: 500, 1679, 2167, 3847.
Descending order
Example 5420, 5840, 4696, 4890
Descending order: 5840, 5420, 4890, 4696
II.Arrange the following numbers on the steps in descending order.
1) 3856, 3656, 3695, 3965
Descending order: 3965, 3856, 3695, 3656
2) 8620, 8629, 8630, 8624
Descending order: 8630, 8629, 8624, 8620.
Exercise 2.6
I. Fill in the blanks
- The greatest number that can be formed using the digits 4, 6 , 8 5, is 8654
- 3,046 is 4 digit number.
- 0,734 is 4 digit number.
- The smallest four-digit number that can be formed using the digits 3 1, , 0 9 , is 1039
II.Write as directed.
1) 5, 8, 7 and 2 By using these digits,
The greatest four digit number that can be formed is 8752
The smallest four digit number that can be formed is 2578.
2) 2, 8, 9 and 0. By using these digits
The greatest four digit number that can be formed is 9820.
The smallest four digit number that can be formed is 2089.
3) 3, 5, 2 and 9. By using these digits
The greatest four digit number that can be formed is 9532
The smallest four digit number that can be formed is 2359
