This document discusses place value and expanded form. It provides examples of writing numbers like 85, 457, and 36268 in expanded form by expressing each digit in terms of its place value. It also discusses the difference between the place values of digits within a number like in 3945. Concrete and abstract numbers are defined. Questions are provided to fill in blanks about place values and expanded form.

1. PLACE VALUE
Mathematics
Std. - 6

2. Write 85 in expanded form:
8x10 +5x1=80+5=85
we can say , in 85 the place value of 8 is 80 or 8 tens(i.e. 8x10) and
the place value of 5 is 5or 5 ones(i.e. 5 x1)
Similarly write 457 in expanded form:
400+50+ 7 =4x100+5x10+7x1
i.e. 4 is at hundreds place and 5 is at tens place and 7 is at ones place
 Place Value also known as local value.
Let’s do quick recap

3. Solution: In 36268, one 6 occurs at thousands place, =6000
the other 6 occurs at tens place so its value=60
the sum of these two place values of 6=6000+60=6060
Example 1: Write the place value of the two 6s (sixes) used in the
number 36268and find the sum of these two values.
1.A concrete number is a number which refers to a particular unit
and is meaningful such as 8metre,12 kg etc.
2.An abstract number is a number which does not refer to any
particular unit such as 8, 12,18 etc.

4. PLACE VALUE
Exercise 4 (A)
Std. - 6

5. (i) In 20 kg, the unit is__________, which is taken _______times.
(ii) In 80m,the unit is _____________,which is taken _____times.
(iii) If a unit cm(centimetre) is taken 5 times,the corresponding quantity
is ____________.
(v)
Q1. Fill in the blanks:
kg 20
metre 80
Number Numeral Numeration
53
9
240
53 Fifty three
9
Two hundred forty
Nine
240
5cm

6. (i) In24,673, the place value of 6 is_____________
(ii) In8,039,the place value of 8 is_____________
(iii) In 3,25,648 the local value of 5 is ____________
(iv) In 6,439, the local value of 6 is_________
Q2. Fill in the blanks:
600
8000
5000
6000

7. Solution:
Place value of 3 =3000
Place value of 5 = 5
Difference = 3000 - 5 = 2995
(Ans) ∴ The difference is 2995.
Q3. Find the difference between the place value of 3 and 5 in the
number 3945.

8. (i)The local value of 5 =_____________
(ii)The place value of 6=______________
(iii)The sum of the place value of 5 and the place value of 6= ______
Q4. In the number 40562
500
600
1100

9. (i)35,000= ______________________
= _______________________
(iii)6,23,000=_________________________
=__________________________
(v) 50,004 =__________________________
=__________________________
Q5. Read and write the following numbers in words and also in
expanded form:
Thirty five thousand
3x10,000 + 5x1000
Six lakh twenty three thousand
6 x1,00,000+2x10,000+3x1000
Fifty thousand four
5x 10,000 +4 x1

10. Q5. Read and write the following numbers in words and also in
expanded form:
(iv) 40,075
Q6. Find the difference in the place values of two sevens in the
number 8,72,574
Home work assignment

11. Largest 1 digit number → 9
Smallest two digit number → 9+ 1=10
Largest three digit number → 999
Smallest 4 digit number → 999+1=1000
So , the pattern formed is:
Largest number of n digits +1 = smallest number of (n+1) digits
Smallest number of n digits - 1 = Largest number of (n-1) digits
Largest and the smallest numbers

12. PLACE VALUE
Exercise 4 (B)
Std. - 6

13. (i) 999+1=_____
(ii) 10,000-1=_________
(iii) 10coins-1 coin=______
(iv) ₹99+ ₹1=_________
(v) 10,000boys -1 boy=______
(vi) 1000 toys-1 toy=_________
Q1.Fill in the blanks:

14. Q3. Write the smallest number which is just more than 9,99,999?
10,00,000
Q4. Starting from the greatest 5 digit number,write the previous numbers
in descending order.
99,999; 99,998; 99,997; 99,996; 99,995 ; 99,994
Q6.How many numbers lie between the largest 3-digit number and the
smallest 4-digit number?
None
Answer the following questions: