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•Savita and Shama were going to market to buy

some stationary item Savita have 5 rupees and 75
paise. Shama have 7 rupees and 50 paise.
Can we write it in a better way to make it easy
to speak and make other understand.
Yes, we can do it by writing 5 rupees 75 paise
as Rs. 5.75 and 7 rupees 50 paise as Rs. 7.50
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 DECIMAL

FRACTION- The fraction in which
the denominator are 10, 100, 1000, etc…,
are decimal fraction.
 EXAMPLE- 3 , 5 , 48 , etc…, are decimal
fraction 10 100 1000
 DECIMALS-

The numbers expressed in
decimal form are called decimal number or
simply decimal.
 EXAMPLE- 52.0, 93.5, 3.6, etc…, are decimal.
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LIKE AND UNLIKE DECIMALS
 Like- Decimals having same number of

decimal places are called like decimals.
 Example- 9.82, 5.70, 4.89 and 7.50 are like
decimals
 UNLIKE- Decimals having different
numbers of decimal places are called unlike
decimals.
 Example- 98.2, 49.70 and 5.489 are unlike
decimals
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CONVERTING UNLIKE TO LIKE DECIMAL
 Example- Convert 5.3, 7.19, 0.376, 84 into

like decimal
 Solution- In the given number, the
maximum number of decimal places is 3.
So, we convert each number into 3 decimal
places by adding 0 in it.
 5.3= 5.300, 7.19= 7.190, 0.376 will remain
same and 84= 84.000
Previous
Next
Position Of Decimals
Hundred Tens
s
2

6

Ones
9

Previous

Decimal
point
.

Tenths
3

Next

Hundred Thousan
ths
dths
7

4
PLACES
If we show units by block then one unit is one block, 2 units are
two blocks and so on. One block is divided into 10 equal parts
means each part is 1 of unit, 2 parts show 2 tenths, and 5 parts
10
will show 5 tenths and so on. A combination of 2 blocks and 3
parts will be recorded as:

1 block
[10 parts]

2.3

1 block
[10 parts]
3 parts
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In tabular form we write the shaded portion as numerator
and total boxes as denominator.
O O O O O
O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O

O = shaded

50
100
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REPRESENTING DECIMALS ON
NUMBER LINE
Lets represent 0.6 on number line. We all know that
0.6 is more than 0 but less than 1 and it have 6 tenths
so we mark it after leaving 5 places as shown below :

0

0.6

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1

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2
COMPARING DECIMALS
Compare 63.84 and 57.98
 The given decimal are 63.84 and 57.98
Lets us compare their whole number parts
63 > 57
63.84 > 57.98
 Compare 98.70 and 98.31
 The given number have same whole number so
we compare tenths and hundredths.
98.70 > 98.30


Previous

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MIXED FRACTION AS DECIMALS
EXAMPLE: Express the number 2 1 as decimals.
10
SOLUTION : 2 1 = 2+ 1 = 2+0.1 = 2.1
10
10

FRACTION AS DECIMALS
Give a point in the given no. as given zero’s in denominator.
EXAMPLE: Convert 2103 into decimal.
100
In 2103, 100 have 2 zero so point will be placed after two places in nominator = 21.03.
100
EXAMPLE: Convert 29 into decimal.
7.25
4
4 )29.00(
= 7.25
-28
10
-8
20
-20
0

Previous

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COVERTING A DECIMAL IN A FRACTION

•Convert 0.625 in fraction.
5
25

•0.625 = 625 = 5
100040 8
8

•Convert .075 in fraction.
3

•0.625 = 75 = 3 .
1000 40 40
Previous

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Previous

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ADDITION OF DECIMALS
 Add 27, 39.70, 3.096, 5.75.
 Convert the given decimals into like decimals.

We get: 27.000, 39.700, 3.096 and 5.750.
Now write the addends in a column.
27.000
39.700
3.096
5.750
75.546
Previous
Next
We get = 75.546.
SUBTRACTION OF DECIMALS
 Subtract 27 from 39.70
 Convert the given decimals into like decimals.

We get: 27.000, 39.700
Now write the in a column. Write smaller no. under
large no.
39.700
27.000
12.700
We get =12.700

Previous

Next
MULTIPLICATION OF DECIMALS
 Multiply 50.05 from 3.5
 Write in column.

Now do the sum.
Now add places in both the number.
50.05
3.5
Previous
Next
25.525
DIVISION IN DECIMALS
 Divide 7.8 from 2.
 Write in dividing form.

Now divide it.
3.9
2)7.8(
-6
18
-18
0
= 3.9

Press the buttons
for Questions

Previous
Among 2.6, 2.006, 2.66 and 2.08 the largest
number is ?
 2.66

 2.6
 2.006
 2.08

Question 2
1.1 – 0.3 ?
 0.08

8
 0.8
 None of these

Question 3
Add : 67.25, 249, 8.785, 9.800 and 0.230 .
 353.055

 653.035
 333.565
 335.065

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Decimal Numbers Explained

  • 2. •Savita and Shama were going to market to buy some stationary item Savita have 5 rupees and 75 paise. Shama have 7 rupees and 50 paise. Can we write it in a better way to make it easy to speak and make other understand. Yes, we can do it by writing 5 rupees 75 paise as Rs. 5.75 and 7 rupees 50 paise as Rs. 7.50 Previous Next
  • 3.  DECIMAL FRACTION- The fraction in which the denominator are 10, 100, 1000, etc…, are decimal fraction.  EXAMPLE- 3 , 5 , 48 , etc…, are decimal fraction 10 100 1000  DECIMALS- The numbers expressed in decimal form are called decimal number or simply decimal.  EXAMPLE- 52.0, 93.5, 3.6, etc…, are decimal. Previous Next
  • 4. LIKE AND UNLIKE DECIMALS  Like- Decimals having same number of decimal places are called like decimals.  Example- 9.82, 5.70, 4.89 and 7.50 are like decimals  UNLIKE- Decimals having different numbers of decimal places are called unlike decimals.  Example- 98.2, 49.70 and 5.489 are unlike decimals Previous Next
  • 5. CONVERTING UNLIKE TO LIKE DECIMAL  Example- Convert 5.3, 7.19, 0.376, 84 into like decimal  Solution- In the given number, the maximum number of decimal places is 3. So, we convert each number into 3 decimal places by adding 0 in it.  5.3= 5.300, 7.19= 7.190, 0.376 will remain same and 84= 84.000 Previous Next
  • 6. Position Of Decimals Hundred Tens s 2 6 Ones 9 Previous Decimal point . Tenths 3 Next Hundred Thousan ths dths 7 4
  • 7. PLACES If we show units by block then one unit is one block, 2 units are two blocks and so on. One block is divided into 10 equal parts means each part is 1 of unit, 2 parts show 2 tenths, and 5 parts 10 will show 5 tenths and so on. A combination of 2 blocks and 3 parts will be recorded as: 1 block [10 parts] 2.3 1 block [10 parts] 3 parts Previous Next
  • 8. In tabular form we write the shaded portion as numerator and total boxes as denominator. O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O = shaded 50 100 Previous Next
  • 9. REPRESENTING DECIMALS ON NUMBER LINE Lets represent 0.6 on number line. We all know that 0.6 is more than 0 but less than 1 and it have 6 tenths so we mark it after leaving 5 places as shown below : 0 0.6 Previous 1 Next 2
  • 10. COMPARING DECIMALS Compare 63.84 and 57.98  The given decimal are 63.84 and 57.98 Lets us compare their whole number parts 63 > 57 63.84 > 57.98  Compare 98.70 and 98.31  The given number have same whole number so we compare tenths and hundredths. 98.70 > 98.30  Previous Next
  • 11. MIXED FRACTION AS DECIMALS EXAMPLE: Express the number 2 1 as decimals. 10 SOLUTION : 2 1 = 2+ 1 = 2+0.1 = 2.1 10 10 FRACTION AS DECIMALS Give a point in the given no. as given zero’s in denominator. EXAMPLE: Convert 2103 into decimal. 100 In 2103, 100 have 2 zero so point will be placed after two places in nominator = 21.03. 100 EXAMPLE: Convert 29 into decimal. 7.25 4 4 )29.00( = 7.25 -28 10 -8 20 -20 0 Previous Next
  • 12. COVERTING A DECIMAL IN A FRACTION •Convert 0.625 in fraction. 5 25 •0.625 = 625 = 5 100040 8 8 •Convert .075 in fraction. 3 •0.625 = 75 = 3 . 1000 40 40 Previous Next
  • 14. ADDITION OF DECIMALS  Add 27, 39.70, 3.096, 5.75.  Convert the given decimals into like decimals. We get: 27.000, 39.700, 3.096 and 5.750. Now write the addends in a column. 27.000 39.700 3.096 5.750 75.546 Previous Next We get = 75.546.
  • 15. SUBTRACTION OF DECIMALS  Subtract 27 from 39.70  Convert the given decimals into like decimals. We get: 27.000, 39.700 Now write the in a column. Write smaller no. under large no. 39.700 27.000 12.700 We get =12.700 Previous Next
  • 16. MULTIPLICATION OF DECIMALS  Multiply 50.05 from 3.5  Write in column. Now do the sum. Now add places in both the number. 50.05 3.5 Previous Next 25.525
  • 17. DIVISION IN DECIMALS  Divide 7.8 from 2.  Write in dividing form. Now divide it. 3.9 2)7.8( -6 18 -18 0 = 3.9 Press the buttons for Questions Previous
  • 18. Among 2.6, 2.006, 2.66 and 2.08 the largest number is ?  2.66  2.6  2.006  2.08 Question 2
  • 19. 1.1 – 0.3 ?  0.08 8  0.8  None of these Question 3
  • 20. Add : 67.25, 249, 8.785, 9.800 and 0.230 .  353.055  653.035  333.565  335.065 Next Slide
  • 21. Sargam Tondon Siddeesh Yadav Jessica Arora Rijul Sobti Sherli Guatum
  • 22. That’s Correct! Question 1 Question 2 Question 3 NEXT SLIDE
  • 23. Sorry, that’s not correct! Question 1 Question 2 Question 3 NEXT SLIDE