Place Value in Maths

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

Ram drew a line segment AB of length 3cm and another line segment CB of length 4cm which is perpendicular to line segment AB. What is the length of the third side of the triangle?