Place Value

Place Value

Place Value

  Hundred
Thousands
      Ten
Thousands
Thousands Hundreds Tens Ones . Ones Tenths Hundredths

Place value tells you how much each digit stands for

Use a hyphen when you use words to write 2-digit numbers greater than 20 that have a digit other than zero in the ones place.

Example: Write 57 in words.

Answer: Fifty-seven

Example: Write 80 in words.

Answer: Eighty

A place-value chart tells you how many hundreds, tens, and ones to Use.

Example: A supermarket has 258 boxes of cereal on its shelves.

Answer:

Hundreds Tens Ones
3 6 9

Example 2

Number Place Value

Value of digit
1,23 4 Units / Ones 4
1,2 34 Tens 30
1, 234 Hundreds 200
1 ,234 Thousands 1,000
7,8 91,234 Ten thousands 90,000
567, 891,234 Hundred thousands 800,000
56 7,891,234 Millions 7,000,000
5 67,891,234 Ten millions 60,000,000

Zeros may stand for nothing, but that doesn’t mean you can leave them out. They keep other digits in the correct places.

Thousands Hundreds Tens Ones
2 0 4 0

Think: 2 thousand + 0 hundred + 4 tens + 0 ones

Write: 2,040

Say: Two thousand Forty

Place Value Through The Millions

    Millions Period   Thousands Period        Ones Period

                                                                     

Hundreds Tens  Ones Hundreds  Tens Ones Hundreds    Tens  Ones
7 1 5 0 2 7 0 0

The digits in large numbers are in groups of three places. The groups are called periods.

Commas are usually used to separate the periods

Write: 71,502,700

Example: What is the value of the digit 4 in 71,502,600?

Answer: The digit 4 is in the hundred thousands place. Its value is 5 hundred thousand or 500,000.

International Place Value System

           MILLION       THOUSANDS            ONES
H.M T.M M H.Th T.Th Th H T O

Example 9 – Write the number 27349811 in the International place value system. Also write it with commas and in words.

MILLION THOUSANDS ONES
T.M M H.Th T.Th Th H T O
2 7 3 4 9 8 1 1

With commas – 27,349,811

In words – Twenty seven million three hundred forty nine thousand eight hundred eleven.

COMPARE THE TWO SYSTEMS

In both the systems 5-digit numbers are read in the same way.

    INDIAN SYSTEM                   INTERNATIONAL SYSTEM

6-digit numbers                                     1 lakh                =                    100 thousand
7-digit numbers                                     10 lakhs            =                     1 million
8-digit numbers                                      1 crore              =                    10 million
9-digit numbers                                      10 crores           =                    100 million

Example-10 In the number 783425, write the digit that is in –

(a) hundreds place (b) hundred thousands place

© ten thousands place (d) Ones place

Sol.     Ans. (a) 4   (b) 7   (c) 8   (d) 5.

Finding value of a digit in a Number

A digit’s value in a number = (Face value of the digit) × (Place value of the digit)

So, for any two digit number ab, the place value of b is 1 and that of a is 10 and it can be represented as:

ab = (a × 10)+(b × 1)

So, with the help of variables a and b any two digit number can be represented in the form given above.

Variables a and b can take any value from 0 – 9 as they represent the face value of digits.

Similarly, a three digit number abc can be represented using its place value as:

abc = (a × 100) + (b × 10) + (c × 1)

In this case also, a,b and c are single digit variables as they represent face value of digit, can take any value from whole numbers 0-9 and can represent any three digit number.

Consider the positions of variables a,b,c are swapped for b,a,c then using the above rule, it can be expressed as:

bac = (b × 100) + (a × 10) + (c × 1)


Practise This Question

Kushagra is drawing a railway track on paper as a part of his project. He asked Sarosh to draw a line parallel to the given line. Sarosh said that we can only construct a line parallel to the given line using alternate angles concept. Is this true?