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MATHS

Chapter 1: Large Numbers

Syllabus: Numbers beyond 9,99,999 Indian Place - Value chart, Writing Large

Numbers in Figures and words, Face - value, Place - value, Expanded form,

Comparison of Numbers, Ascending and Descending order, Successor and

Predecessor , Forming the Greatest and the Smallest Numbers, International

place value system, Rounding off numbers.

In order to understand the topic : Numbers beyond 9,99,999 Indian Place -

Value chart, Writing Large Numbers in Figures and words, Place - value, please

go to the following link:

https://www.youtube.com/watch?v=G59BK8Ah3kE&feature=youtu.be

Place Value Chart

In Mathematics, place value charts help us to make sure that the digits are in the correct places.

To identify the positional values of numbers accurately, first, write the digits in the place value

chart, and then write the numbers in the usual and the standard form. Here, the Indian System of

place value chart is given below.

Place Value Chart For Indian System

Crores Lakhs Thousands Ones

Ten Crores (TC)

(10, 00,00,000)

Crores (C) (1, 00,00,000)

Ten Lakhs (TL)

(10,00,000)

Lakhs (L)

(1,00,000)

Ten- Thousands (TTh)

(10,000)

Thousands (Th)

(1000)

Hundreds (H)

(100)

Tens (T)

(10

Ones

(O)

(1)

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Face Value

Face value of a digit is the value of the digit itself, in a number. Whether the number is single-digit, double-digit, or three-digit or any number, each digit has its face value. Let us understand with the help of examples.

1. For number 2, 2 is the face value. 2. For number 89, the face value of 8 and 9 are 8 and 9 respectively. 3. For 52369, the face value of 3 is 3.

Place Value and Face Value

As we have already discussed the definition of both place value and face value, let us discuss the difference between them. From the definition, we know place value states the position of a digit in a given number, whereas face value describes the

value of the digit.

Let us take an example of a number say, 2456. Check the table below to understand

the difference.

Digits Place Value Face Value

2 Thousands 2

4 Hundreds 4

5 Tens 5

6 Units or ones 6

Successor and Predecessor

The terms successor and predecessor refer to the numbers directly after or directly before a given number, respectively. To find the successor of a given whole number, add one to the given number. To find the predecessor of a given whole number, subtract one from the given number.

Predecessor

As we know that predecessor means before number. There are two methods to find the before number. 1) Say the counting numbers and stop at the number up to which you have to find the before number. Example : Find the before number of 9 .

Say 1,2,3,4,5,6,7,8,9 so before 9 we said 8 so 8 is the predecessor of 9.

2) If you want to find the predecessor of given number then subtract 1 from the given number. Example :

1) Predecessor of 9 is 9 -1 = 8 2) Predecessor of 13 is 13 – 1 = 12 3) Predecessor of 20 is 20 -1 = 19 Note : There is no predecessor of whole number zero.

Successor

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There are two methods to find the successor of the given number. 1) Say the counting numbers and stop at the given number and say the next number that will be the successor of the given number.

Example :

Find the successor of 12. Say 1,2,3,4,5,6,7,8,9,10,11,12 and then the next number is 13 so 13 is the successor of 12. But this method is used only for small numbers.

2) For big numbers the successor is the number obtained by adding 1 to it.

Example :

a) The successor of 13 is 13 + 1= 14 is the successor of 13.

b) The successor of 0 is 0 + 1 = 1.

c) Successor of 7 is 7 + 1 = 8

d) Successor of 56 is 56 + 1= 57.

More Examples

Suppose that the given number is 18. Its successor is 19, and its predecessor is 17. If the given number were 226, it would have a successor of 227 and a predecessor of 225.

Ascending order is a sorting method in which the sort starts from the lowest to the highest or the smallest value to the largest value. It means the smallest or earliest value in the order that

will come at the top of the list. Examples of Ascending Order:

For amount and numbers, the sort is from smallest value to largest value. Lower amounts or numbers will be at the top of the list. Ex: 16, 23, 45, 76, 80.

For letters and words, the sort is from alphabetical order like A to Z. Example: A, B, C, D, E……Y, Z.

Ascending order symbol

To represent this order of numbers, we need to use the ascending order symbol “<“.

Example: Write these numbers in increasing order – 8, 10, 92, 1, 27.

Solution: The following is the increasing order of the given numbers:

1 < 8 < 10 < 27 < 92

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Descending Order

That means, it is the opposite process of writing the numbers in increasing order. Therefore, it

can be mentioned as a decreasing order. In the case of descending order, for a given set of

numbers, the highest valued number is written first and the lowest valued number is written at

last.

Descending Order Symbol

It is denoted by the symbol ‘>’.

Example: Write 3, 7, 8, 2, 10, 28, 15 in descending order.

Solution: 28 > 15 > 10 > 8 > 7 > 3 > 2 is the descending order of the given set of numbers.

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After understanding the concept of Large Numbers let us have glimpse of

Textual Exercise which are produced here in below:

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Practice Work :

1. Solve ticked down sum from above given text book

pages.

2. Learn and write all ticked down statements and Tabular

chart.

3. Solve Exercise 1A as revision work of previous standard.