This document discusses decimals and their place value. It covers converting between fractions and decimals, writing decimal numbers in word form, and ordering decimals. Some key points include: - When multiplying or dividing by powers of ten, numbers move to different places in the place value chart. - Fractions can be converted to decimals by dividing the numerator by the denominator. - Decimals can be written as fractions where the denominator is a power of ten. - Decimals are ordered by comparing digits moving from left to right, considering whole numbers first and then place value.

1. Class V
Decimals
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2. Place Value Chart
Thousands Hundreds Tens Ones Decimal Tenths Hundredths Thousandths
1000 100 10 1 Point (.) 1/10 1/100 1/1000
Note: when we multiply any number with 1, 10, 100, 1000
etc, we get places as ones, tens, hundreds, thousands etc
&
When we divide a number by 10, 100, 1000 etc, we get
places tenths, hundredths, thousandths etc...
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3. Conversions
Fractions to decimals
=0.3
=2.4
=0.32
=0.09
=0.281
=0.043
=3.743 3mathswithrichabhardwaj.blogspot.in

4. Decimal to fraction
0.6=
0.12=
1.27=
0.04=
0.378=
0.007=
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5. Number Name of a decimal number
Worksheet-2
Q2:
(b) 15.72 –fifteen and seventy two hundredths
(e) 45.05 –forty five and five hundredths
(i) 8257.85 – eight thousand two hundred fifty
seven and eighty five hundredths
(j) 9.782 – nine and seven hundred eighty two
thousandths
(l) 67.005 – sixty seven and five thousandths
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6. Decimal number in words
Worksheet-2
Q5:
(b) 7.8 – seven point eight
(e) 352.184 – three hundred fifty two point one
eight four
(f) 647.003 – six hundred forty seven point zero zero
three
(h) 1.943 – one point nine four three
(i) 81.88 – eighty eight point eight eight
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7. Q 6
Thousands.
Hundreds.
Tens
Ones
.
Tenths
Hundredths
Thousandths
t.thousandths
(a) 8.4 8 . 4
(c)0.9921 0 . 9 9 2 1
(e) 3.333 3 . 3 3 3
(g) 5.7679 5 . 7 6 7 9
(h) 182.95 1 8 2 . 9 5
Decimal number in Place Value Chart
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8. Mixed fractions as Decimal number
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9. Do to
Worksheet-3 (in book)
Worksheet-4 (Q1 and Q2 in book)
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10. Expanded form of a decimal number
Worksheet-4
Question 2
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11. Expanded form of a decimal number
Worksheet-4
Question 3
b) 14.657- 1 tens + 4 ones + 6 tenths + 5 hundredths + 7
thousandths
c)803.316- 8 hundreds + 0 tens + 3 ones + 3 tenths + 1
hundredths + 6 thousandths
d) 24.405- 2 tens + 4 ones + 4 tenths + 0 hundredths + 5
thousandths
e) 127.253- 1 hundreds + 2tens + 7 ones + 2 tenths + 5
hundredths + 3thousandths
f) 453.762- 4 hundreds + 5tens + 3ones + 7 tenths + 6
hundredths +2 thousandths
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12. Like and Unlike Decimals
0.37, 4.39,
54.04,
264.93,
46.47
Two or more decimals are said to
be like decimals if the number of
digits in their decimal part is same
0.7, 4.39,
54.014,
2.2113,
Two or more decimals are said to
be unlike decimals if the number
of digits in their decimal part is
different
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13. To do
Worksheet -5 Question 1 in book
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14. Converting unlike decimals into like
decimals
3.429 65.3
Number of
digits in
decimal part is
3 here
Number of
digits in
decimal part is
1 here
So, the two decimals given
above are unlike decimals 14mathswithrichabhardwaj.blogspot.in

15. 3.429 65.3
To make them like decimals, we write zeroes
behind the decimal part of the decimal
number which has less number of digits.
3.429 65.300
Now, these are like decimals...
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16. Converting unlike decimals into like
decimals
Worksheet-5
Question 2
(a)1.8, 31.629, 17.26, 5.01
Answer: maximum no of digits in decimal part is 3,
so the like decimals are
1.800, 31.629, 17.260, 5.010
(c) 85.785, 201.3, 9.1, 16.65
Answer: maximum no of digits in decimal part is 3,
so the like decimals are
85.785, 201.300, 9.100, 16.650
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17. (e)6.72, 6.271, 6.2, 0.006
Answer: maximum no of digits in decimal part is 3,
so the like decimals are
6.720, 6.271, 6.200, 0.006
(f) 143.85, 68.095, 8.09, 71.1
Solve it on your own.
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18. Ordering of decimal numbers
First, we compare the whole number part.
Then, we compare the digits in the tenths place
Then, we compare the digits in the hundredths place
Then, we compare the digits in the thousandths place
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19. Worksheet-6
Question 2: Arrange in ascending order.
(a) 6.035, 6.53, 6.005, 6.359
Step1 : first we convert the unlike decimals into like
decimals
6.035, 6.530, 6.005, 6.359
Step 2 :
Now we compare the digits in whole number parts and
corresponding places in decimal number part
6.005<6.035<6.359<6.530
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20. (c) 400.27, 400.072, 400.72, 400.7
Step1 : first we convert the unlike decimals into like
decimals
400.270, 400.072, 400.720, 400.700
Step 2 :
Now we compare the digits in whole number parts and
corresponding places in decimal number part
400.072<400.270<400.700<400.720
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21. Worksheet-6
Question 3: Arrange in descending order.
(a) 218.81, 281.82, 281.81, 218.9
Step1 : first we convert the unlike decimals into like
decimals
218.81, 281.82, 281.81, 218.90
Step 2 :
Now we compare the digits in whole number parts and
corresponding places in decimal number part
281.82>281.81>218.90>218.81
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22. (c) 30.03, 30.031, 30.301, 30.3
Step1 : first we convert the unlike decimals into like
decimals
30.030, 30.031, 30.301, 30.300
Step 2 :
Now we compare the digits in whole number parts and
corresponding places in decimal number part
30.301>30.300>30.031>30.030
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Thank You
Richa Bhardwaj