Numbers

Summary of numbers

Solved exercise of number

Numbers

Summary

number is a mathematical object used to count, measure, and label. 

Examples are the natural numbers 1, 2, 3, 4 etc.

4 Digit Number

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

ThousandHundredTensUnit
3594

1) 307

HundredTensUnit
307

2) 611

HundredTensUnit
611

3) 5926

ThousandHundredTensUnit
5926

4) 6000

ThousandHundredTensUnit
6000

5) 8888

ThousandHundredTensUnit
8888

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.

  1. 2769, 2770, 2771
  2. 5490, 5491, 5492
  3. 3999, 4000, 4001
  4. 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

THHTU
3482

=3482

1)1 × 1000 + 3 × 100 + 6 × 10 + 5 × 1

THHTU
1365

=1365

2)4 × 1000 + 0 × 100 + 7 × 10 + 9 ×1

THHTU
4079

=4079

3)8 × 1000 + 1 × 100 + 5 × 10 + 5 × 1

THHTU
8155

=8155

4)6 × 100 + 3 × 10 + 2 × 1

HTU
631

=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 valuePlace 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.

  1. 2326, 2330, 2334, 2338, 2342, 2346.
  2. 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

  1. The greatest number that can be formed using the digits 4, 6 , 8 5, is  8654
  2. 3,046 is  4 digit number.
  3. 0,734 is 4 digit number.
  4. 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

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