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1. DECIMALS

2. •Decimals are fractions with denominators 10, 100, 1000, etc.
•
��
��
= 2.1
•
���
���
= 3.25
•Decimals are also another way of representing fractions.
•
�
�
= 1.5
•
�
�
= 1.16
•Consider the decimal number
•1472.538 one thousand four hundred and seventy twopoint five three eight
Whole or integral partFractional or decimal part
INTRODUCTION

3. NumberThousands
(1000)
Hundreds
(100)
Tens
(10)
Units
(1)
Tenths
(
�
��
or 0.1)
Hundredths
(
�
���
or 0.01)
Thousandths
(
�
����
or 0.001)
1472.538 1 4 7 2 5 3 8
372.7 - 3 7 2 7 - -
200.035 - 2 0 0 0 3 5
Consider the number1472.538
Expanded form of a decimal number:
1472.538= 1000 + 400 + 70 + 2 +
�
��
+
�
���
+
�
����
Check:
1000.000
400.000
70.000
2.000
0.500
0.030
+ 0.008
_______
1472.538
372.7= 300 + 70 + 2 +
�
��
200.035= 200 + 0 + 0 +
�
��
+
�
���
+
�
����
= 1000 + 400 + 70 + 2 + 0.5 + 0.03 + 0.008
= 200 +
�
���
+
�
����
PLACE VALUE CHART

4. HOMEWORK
Exercise 2.5
Page: 48
Question 5: (i, ii, iii, iv)

5. PLACE VALUE OF A DIGIT IN A NUMBER
Place value of a digit in a number is the valueof the digit basedon its positionin the number
Place value of 5 in 1472.538 is
Place value of 3 in 1472.538 is
Place value of 4 in 1472.538 is
Place value of 8 in 1472.538 is
�
��
400
Examples:
�
���
�
����
NCERT Exercise 2.5
Question 6
Write the place of 2 in the following decimal numbers
(i)2.56(ii)21.37
(i)Place value of 2 in 2.56 is
20(ii) Place value of 2 in 21.37 is
2
Answers:

6. HOMEWORK
Exercise 2.5
Page: 48
Question 6: ( iii, iv,v)