Class 6 Maths Knowing Our Numbers Expanding numbers and place values

Expanding numbers and place values

More than 1 digit numbers can be expanded by multiplying the individual digits with multiples of 10. The multiplication factor of 10 represents the digit’s place in the number. Foreg.

  • 56 can be written as 50 + 6 = 5 x 10 + 6
  • 8324 can be expanded as 8000 + 300 + 20 + 4 = 8 x 1000 + 3 x 100 + 2 x 10 + 4
  • 36135 can be expanded as 30000 + 6000 + 100 + 30 + 5 = 3 x 10000 + 6 x 1000 + 1 x 100 + 3 x 10 + 5. Since the number 3 is multiplied by 10000 (Ten Thousand), it is said to be at Ten Thousands place. Similarly other places are shown below.
  • 243677 can be expanded as 200000 + 40000 + 3000 + 600 + 70 + 7 = 2 X 100000 + 4 x 10000 + 3 x 1000 + 6 x 100 + 7 x 10 + 7
  • 35585004 can be expanded as 30000000 + 5000000 + 500000 + 80000 + 5000 + 4 = 3 x 10000000 + 5 x 1000000 + 5 x 100000 + 8 x 10000 + 5 x 1000 + 4

 

Problem: Read the numbers. Write them using placement boxes and then write their expanded forms.

Number

C

TL

L

TTh

Th

H

T

O

Name

Expansion

475320

-

-

4

7

5

3

2

0

Four Lakh Seventy Five Thousand Three Hundred Twenty

4 x 100000 + 7 x 10000 + 5 x 1000 + 3 x 100 + 2 x 10

9847215

-

9

8

4

7

2

1

5

Ninety Eight Lakh Forty Seven Thousand Two Hundred  Fifteen

9 x 1000000 + 8 x 100000 + 4 x 10000 + 7 x 1000 + 2 x 100 + 1 x 10 + 5

97645310

9

7

6

4

5

3

1

0

Nine Crore Seventy Six Lakh Forty Five Thousand Three Hundred Ten

9 x 10000000 + 7 x 1000000 + 6 x 100000 + 4 x 10000 + 5 x 1000 + 3 x 100 + 1 x 10

30458094

3

0

4

5

8

0

9

4

Three Crore Four Lakh Fifty Eight Thousand Ninety Four

3 x 10000000 + 0 x 1000000 + 4 x 100000 + 5 x 10000 + 8 x 1000 + 0 x 100 + 9 x 10 + 4

 

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