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1 of 39
https://www.youtube.com/watch?v=BeZyGg8xVCE
 Whole part or integral part
 Decimal point
 Fractional part
Thou
sands
Hund
reds
Tens Ones . Tenth
s
Hund
redth
s
Thou
sandt
hs
Ten
thous
andth
2 1 . 0 6 1
0 . 3 5 8
5 0 6 . 0 2 0 1
1 2 6 . 0 0 3 2
1.15.06
 20+1+6/100+1/1000
 0+3/10+5/100+8/1000
 500+0+6+0+2/100+1/1000
 100+20+6+0+0+0+3/1000+2/10000
8.23- EIGHT POINT TWO THREE
EIGHT AND TWENTY THREE HUNDREDTHS
45.214- FORTY FIVE POINT TWO ONE FOUR
FORTY FIVE AND TWO HUNDRED FOURTEEN
THOUSANDTHS
1.276.05-2x100+7x10+6x1+0x1/10+5x1/100
=200+70+6+0+5/100
two hundred seventy six point zero five
2. 0.29- 0x1+2x1/10+9x1/100
= 0+2/10+9/100
zero point two nine
3.8.005- 8x1+0x1/10+0x1/100+5x1/1000
= 8+0+0+5/1000
Eight point zero zero five
4.0.459- 0x1+ 4x1/10+5x1/00+9x1/1000
= 0+4/10+ 5/100+9/1000
zero point four five nine
1. 70+ 3+ 2/100+ 7/1000= 73.027
2. 5000+ 400+ 30+2+ 1/10+ 2/100= 5432.12
3. 256+ 7/1000= 256.007
4. 7/10 + 3/100+ 5/1000= 0.735
 Adding zeroes to the extreme right of the
decimal part does not change the value of
the decimal number.
 So unlike decimals can be converted into
like decimals by adding zeroes to the
extreme right of the decimal part.
1.6.07< 6.7
2.0.72__<_____7.2
3.60.04 _<___60.40
4. 0.437 ____=__0.4370
1. 5.01 =501/100
2. 34.178= 34178/1000
3. 17.9= 179/10
4. 0.8= 8/10
5. 43.800= 43800/1000
6.0.0005=5/10000
CASE 1- when the denominator is a power of
10.
1. 179/10= 17.9
2. 14/1000 = 0.014
3. 9/10= 0.9
4. 19/10= 1.9
5. 253/10= 25.3
6. 1279/10= 127.9
7. 1040/100=10.4
Case 2 – When the denominator can be made
into a power of 10, 100 and 1000.
1. 1/2
1. 1 + 0.3= 1.03
2. 0.7 + 0.9=1.6
3. 6.5 + 4.8=11.3
4. 3.2 + 365.14 =368.34
5. 6.66-2.22=4.44
6. 8.54-6.01=2.53
7. 9.26- 3.88=5.38
8. 21.7-4.69= 17.01
a.3.4+5-6.4=
= 8.4-6.4
=2.0
=2
b.2.8 + 1.1- 2.9
=3.9-2.9 = 1.0=1
c. 3- 3.3+1.8
= 3+ 1.8- 3.3
= 4.8-3.3=1.5
d.3.28+1.63-4.9
=4.91-4.9
= 0.01
e. 2.36-3.24+2.18= 2.36+2.18- 3.24
=4.54-3.24
The number that should be added to 3.189 to
get 7 = 7-3.189
=3.811
x+y=9
 x = 3.14-1.674=1.466
1.466+y=9
9-1.466=7.534
7.534 should be added to the difference of
3.14 and 1.674 to get 9
Sum of 14.28 and 11.219= 25.499
Difference of 14.28 and 11.219= 3.061
Difference of 25.499 and 3.061= 22.438
https://www.youtube.com/watch?v=TDoa10Dd
hZM
1 RUPEES = 100 PAISE
÷
1.3 paise = 3/100= ₹ 0.03
2. 74 paise= 74/100= ₹ 0.74
3. 8346 paise = 8346/100= ₹ 83.46
1. ₹3= 3X 100= 300 paise
2. ₹ 0.06= 0.06 x100= 6 paise
3. ₹0.67= 0.67x100=67 paise
4. ₹ 61.43= 61.43x100= 6143 paise
https://www.youtube.com/watch?v=xp0XCkjDTJI
1)6 cm= 6 x 10= 60mm.
2)2.5 cm = 2.5 x 10= 25mm
3) 5.428 m= 5.428 x 1000= 5428.000= 5428 mm
4) 1.25 m= 1.25x 1000= 1250.00= 1250 mm
1. 85 cm = 85/100= 0.85m
2. 5cm = 5/100= 0.05m
3. 800 cm = 800/100= 8 m
4. 580 mm = 580/ 1000= 0.58 m
5. 4562 mm = 4562/1000=4.562m
6. 1452 cm = 1452/100= 14.52 m
7. 8 km = 8 x1000= 8000 m
8. 4.5 km = 4.5 x1000= 4500.0 m
9. 7845 km = 7845x1000= 7845000 m
a. 375g to kg= 0.375 kg
b. 8794 g to kg= 8.794 kg
c. 25 g to kg = 0.025 kg
d. 75 kg to g = 75000g
e. 0.34 kg to g= 340 g
f. 8.73 kg to g = 8730 g
a. 1456 l to kl= 1.456kl
b. 560 l to kl= 0.560 kl
c. 85 l to kl= 85/1000= 0.085 kl
d. 125 kl to l= 125000l
e. 0.75 kl to l= 750 l
f. 4.32 kl to l= 4320l
a)Total Length of the rope = 7.37m
Length of the rope cut out= 2.78 m
Length of the rope left= 7.37-2.78= 4.59m
b)No this rope is not enough to make the cloth
line between the two hooks separated by 6m.
c)The length of rope required = 6-4.59m=
1.41m
The capacity of container= 9 kl 500l
Water level = 3kl 750 l
The capacity of water to be filled= 9 kl 500
l- 3kl 750 l= 5kl 750l= 5 + 750/1000=
5+0.75= 5.75kl
Length of the ribbon Leela had- 3.05 m
Length of the ribbon that has been cut= 1m
60 cm
Length of ribbon left with Leela=
3.05m – 1m + 60/100=
3.05- 1.60=
1.45 m

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Lesson 7 decimals

  • 1.
  • 2.
  • 4.  Whole part or integral part  Decimal point  Fractional part
  • 5.
  • 6. Thou sands Hund reds Tens Ones . Tenth s Hund redth s Thou sandt hs Ten thous andth 2 1 . 0 6 1 0 . 3 5 8 5 0 6 . 0 2 0 1 1 2 6 . 0 0 3 2 1.15.06
  • 7.  20+1+6/100+1/1000  0+3/10+5/100+8/1000  500+0+6+0+2/100+1/1000  100+20+6+0+0+0+3/1000+2/10000
  • 8. 8.23- EIGHT POINT TWO THREE EIGHT AND TWENTY THREE HUNDREDTHS 45.214- FORTY FIVE POINT TWO ONE FOUR FORTY FIVE AND TWO HUNDRED FOURTEEN THOUSANDTHS
  • 9. 1.276.05-2x100+7x10+6x1+0x1/10+5x1/100 =200+70+6+0+5/100 two hundred seventy six point zero five 2. 0.29- 0x1+2x1/10+9x1/100 = 0+2/10+9/100 zero point two nine 3.8.005- 8x1+0x1/10+0x1/100+5x1/1000 = 8+0+0+5/1000 Eight point zero zero five 4.0.459- 0x1+ 4x1/10+5x1/00+9x1/1000 = 0+4/10+ 5/100+9/1000 zero point four five nine
  • 10. 1. 70+ 3+ 2/100+ 7/1000= 73.027 2. 5000+ 400+ 30+2+ 1/10+ 2/100= 5432.12 3. 256+ 7/1000= 256.007 4. 7/10 + 3/100+ 5/1000= 0.735
  • 11.
  • 12.  Adding zeroes to the extreme right of the decimal part does not change the value of the decimal number.  So unlike decimals can be converted into like decimals by adding zeroes to the extreme right of the decimal part.
  • 14. 1. 5.01 =501/100 2. 34.178= 34178/1000 3. 17.9= 179/10 4. 0.8= 8/10 5. 43.800= 43800/1000 6.0.0005=5/10000
  • 15. CASE 1- when the denominator is a power of 10. 1. 179/10= 17.9 2. 14/1000 = 0.014 3. 9/10= 0.9 4. 19/10= 1.9 5. 253/10= 25.3 6. 1279/10= 127.9 7. 1040/100=10.4
  • 16. Case 2 – When the denominator can be made into a power of 10, 100 and 1000. 1. 1/2
  • 17.
  • 18. 1. 1 + 0.3= 1.03 2. 0.7 + 0.9=1.6 3. 6.5 + 4.8=11.3 4. 3.2 + 365.14 =368.34 5. 6.66-2.22=4.44 6. 8.54-6.01=2.53 7. 9.26- 3.88=5.38 8. 21.7-4.69= 17.01
  • 19.
  • 20. a.3.4+5-6.4= = 8.4-6.4 =2.0 =2 b.2.8 + 1.1- 2.9 =3.9-2.9 = 1.0=1 c. 3- 3.3+1.8 = 3+ 1.8- 3.3 = 4.8-3.3=1.5
  • 22. The number that should be added to 3.189 to get 7 = 7-3.189 =3.811
  • 23. x+y=9  x = 3.14-1.674=1.466 1.466+y=9 9-1.466=7.534 7.534 should be added to the difference of 3.14 and 1.674 to get 9
  • 24. Sum of 14.28 and 11.219= 25.499 Difference of 14.28 and 11.219= 3.061 Difference of 25.499 and 3.061= 22.438
  • 25.
  • 26.
  • 28. 1.3 paise = 3/100= ₹ 0.03 2. 74 paise= 74/100= ₹ 0.74 3. 8346 paise = 8346/100= ₹ 83.46
  • 29. 1. ₹3= 3X 100= 300 paise 2. ₹ 0.06= 0.06 x100= 6 paise 3. ₹0.67= 0.67x100=67 paise 4. ₹ 61.43= 61.43x100= 6143 paise
  • 31.
  • 32. 1)6 cm= 6 x 10= 60mm. 2)2.5 cm = 2.5 x 10= 25mm 3) 5.428 m= 5.428 x 1000= 5428.000= 5428 mm 4) 1.25 m= 1.25x 1000= 1250.00= 1250 mm
  • 33. 1. 85 cm = 85/100= 0.85m 2. 5cm = 5/100= 0.05m 3. 800 cm = 800/100= 8 m 4. 580 mm = 580/ 1000= 0.58 m 5. 4562 mm = 4562/1000=4.562m 6. 1452 cm = 1452/100= 14.52 m 7. 8 km = 8 x1000= 8000 m 8. 4.5 km = 4.5 x1000= 4500.0 m 9. 7845 km = 7845x1000= 7845000 m
  • 34.
  • 35. a. 375g to kg= 0.375 kg b. 8794 g to kg= 8.794 kg c. 25 g to kg = 0.025 kg d. 75 kg to g = 75000g e. 0.34 kg to g= 340 g f. 8.73 kg to g = 8730 g
  • 36. a. 1456 l to kl= 1.456kl b. 560 l to kl= 0.560 kl c. 85 l to kl= 85/1000= 0.085 kl d. 125 kl to l= 125000l e. 0.75 kl to l= 750 l f. 4.32 kl to l= 4320l
  • 37. a)Total Length of the rope = 7.37m Length of the rope cut out= 2.78 m Length of the rope left= 7.37-2.78= 4.59m b)No this rope is not enough to make the cloth line between the two hooks separated by 6m. c)The length of rope required = 6-4.59m= 1.41m
  • 38. The capacity of container= 9 kl 500l Water level = 3kl 750 l The capacity of water to be filled= 9 kl 500 l- 3kl 750 l= 5kl 750l= 5 + 750/1000= 5+0.75= 5.75kl
  • 39. Length of the ribbon Leela had- 3.05 m Length of the ribbon that has been cut= 1m 60 cm Length of ribbon left with Leela= 3.05m – 1m + 60/100= 3.05- 1.60= 1.45 m