Balbharati Solutions Class 5 Mathematics Decimal Fractions
Welcome to NCTB Solutions. Here with this post we are going to help 5th class students for the Solutions of Balbharati Class 5 Math Book, Problem Set 36, 37, 38, 39, 40, 41 and 42, Decimal Fractions. Here students can easily find step by step solutions of all the problems for Decimal Fractions. Also our Expert Mathematic Teacher’s solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get Decimal Fractions solutions. Here all the solutions are based on Maharashtra State Board latest syllabus.
Decimal Fractions all Question Solutions :
Problem Set 36 :
Question no – (1)
Solution :
(1) 3 9/10
9 divided by 10 is 0.9 it is in decimal fraction
So, the 9 divided 10 = 0.9
The 3 9/20 is written as 3.9 in decimal fraction
So, 3.9 is read as three point nine
(2) 1 4/10
4 divided by 10 is 0.4 it is in decimal fraction
4 divided 10 = 0.4
The 1 4/10 is written as 1.4 in decimal fraction
Thus, 1.4 is read as one point four
(3) 5 3/10
3 divided by 10 is 0.3 it is in decimal fraction
3 divided 10 = 0.3
The 5 3/10 is written as 5.3 in decimal fraction
Hence, 5.3 is read as five point three
(4) 8/10
8 divided by 10 is 0.8 it is I decimal fraction
8 divided 10 = 0.8
So, 0.8 is read as zero point eight
(5) 7/10
7 divided by 10 is 0.7 it is in decimal fraction
7 divided 10 = 0.7
So, 0.7 is read as zero point seven.
Problem Set 37 :
Question no – (1)
Solution :
(1) 9 1/10
1 divided by 10 is 0.1 it is in decimal fraction
1 divided 10 = 0.1
The 9 1/10 is written as 9.1 in decimal fraction.
So, 9.1 is read as nine point one.
(2) 9 1/100
1 divided by 100 is 0.01 it is in decimal fraction
1 divided 100 = 0.1
The 9 1/100 is written as 9.01 in decimal fraction.
Therefore, 9.01 is read as nine point zero one
(3) 4 53/100
53 divided by 100 is 0.53 it is in decimal fraction.
53 divided 100 = 0.53
The 4 53/100 is written as 4.53 in decimal fraction
So, 4.53 is read as four point five three
(4) 78/100
78 divided by 100 is 0.78 it is in decimal fraction
78 divided 100 = 0.78
So, 0.78 is read as zero point seven eight
(5) 5/100
5 divided by 100 is 0.05 it is in decimal fraction
5 divided 100 = 0.05
So, 0.05 is read as zero point zero five.
(6) 5/10
5 divided by 10 is 0.5 it is in decimal fraction
5 divided 10 = 0.5
So, 0.5 is read as zero point five
(7) 2/10
2 divided by 10 is 0.2 it is in decimal fraction
2 divided 10 = 0.2
So, 0.2 is read as zero point two
(8) 20/100
20 divided by 100 is 0.2 it is in decimal fraction
20 divided 100 = 0.2
So, 0.2 is read as zero point two.
Problem Set 38 :
Question no – (1)
Solution :
(1) 6.13
We know,
Decimal fraction 6.13 read as six point thirteen
Digits = 6
Place = Units
Place Value = 6
Digits = 1
Place = Tenths
Place Value = 1× 1/10 = 0.1
Digits = 3
Place = Hundredths
Place Value = 3× 1/100 = 0.03
Hence, The place value of 6 is 6
The place value of 1 is 0.1
The place value of 3 is 0.03
(2) 48.84
We know
Decimal fraction 48.84 read as forty-eight point eighty-four
Digits = 4
Place = Tens
Place Value = 4 × 10 = 40
Digits = 8
Place = Units
Place Value = 8
Digits = 8
Place = Tenths
Place Value = 8× 1/10 = 0.8
Digits = 4
Place = Hundredth
Place Value = 4 × 1/100 = 0.04
So, The place value of 4 is 40
The place value of 8 is 8
The place value of 8 is 0.8
The place value of 4 is 0.04
(3) 72.05
We know
Decimal fraction 72.05 read as seventy-two point zero five.
Digits = 7
Place = Tens
Place Value = 7× 10 = 70
Digits = 2
Place = Units
Place Value = 2
Digits = 0
Place = Tenths
Place Value = 0× 1/10 = 0
Digits = 5
Place = Hundredth
Place Value = 5× 1/100 = 0.05
Thus, The place value of 7 is 70
The place value of 2 is 2
The place value of 0 is 0
The place value of 5 is 0.05
(4) 3.4
We know, Decimal fraction 3.4 read as three point four
Digits = 3
Place = Units
Place Value = 3
Digits = 4
Place = Tenths
Place Value = 4 × 1/10 = 0.4
So, The place value of 3 is 3
The place value of 4 is 0.4
(5) 0.59
We know, Decimal fraction 0.59 read as zero point fifty-nine
Digits = 0
Place = Units
Place Value = 0
Digits = 5
Place = Tenths
Place Value = 5 × 1/10 = 0.5
Digits = 9
Place = Hundredths
Place Value = 9 × 1/100 = 0.09
Hence,
The place value of 0 is 0
The place value of 5 is 0.5
The place value of 9 is 0.09
Problem Set 39 :
Question no – (1)
Solution :
(1) ₹ 58.43
We know, 58.43 = 58 + 0.43
1 rupees = 100 paise
0.43 rupees= 43 paise
It means the ANS is 58 rupees 43 paise
(2) ₹ 9.30
We know, 9.30 = 9 + 0.30
1 rupees = 100 paise
0.30 rupees = 30 paise
It means the answer is 9 rupees 30 paise
(3) ₹ 2.30
We know, 2.30 = 2 + 0.30
1 rupees = 100 paise
0.30 rupees = 30 paise
It means the answer is 2 rupees 30 paise
(4) ₹ 2.3
We know, 2.3 = 2 + 0.3
1 rupees = 100 paise
0.3 rupees = 30 paise
It means the answer is 2 rupees 30 paise.
Question no – (2)
Solution :
(1) 6 rupees 25 paise
We know, 1 rupees = 100 paise
0.25 rupees = 25 paise
6 rupees can be written in decimal form as 6₹
25 paise can be written in decimal form as 0.25₹
∴ 6 + 0.25
= 6.25
Therefore, 6 rupees 25 paise written in decimal form as ₹ 6.25
(2) 15 rupees 70 paise
We know, 1 rupees = 100 paise
0.70 rupees = 70 paise
15 rupees can be written in decimal form as ₹ 15
70 paise can be written in decimal form as ₹ 0.70
So, 15 + 0.70 = 15.70
15 rupees 70 paise written in decimal form as 15.70₹
(3) 8 rupees 5 paise
We know, 1 rupees = 100 paise
0.05 rupees = 5 paise
8 rupees can be written in decimal form as 8₹
5 paise can be written in decimal form as 0.05₹
So, 8 + 0.05 = 8.05
8 rupees 5 paise written in decimal form as 8.05₹
(4) 22 rupees 4 paise
We know, 1 rupees = 100 paise
0.04 rupees =4 paise
22 rupees can be written in decimal form as 22₹
4 paise can be written in decimal form as 0.04₹
∴ 22 + 0.04
= 22.04
22 rupees 4 paise written in decimal form as 22.04₹
(5) 720 paise
We know, 1 rupees = 100 paise
720 paise = 700 paise + 20 paise
720 paise = 7 rupees + 20 paise
7 rupees can be written in decimal form as 7₹
20 paise can be written in decimal form as 0.20₹
Therefore, 7 rupees 20 paise written in decimal form as 7.20₹
Question no – (3)
Solution :
(1) 58.75 m
We know, 58.75 m = 58 m + 0.75 m
1 m = 100 cm
0.75 m = 75 cm
It means answer is 58 m 75 cm
(2) 9.30 m
We know, 9.30 m = 9m + 0.30 m
1m = 100 cm
0.30 m = 30 cm
It means answer is 9m 30 cm
(3) 0.30 m
We know, 1 m = 100 cm
0.30 m = 30 cm
It means answer is 30 cm
(4) 0.3 m
We know, 1m = 100 cm
0.3 m = 30 cm
It means answer is 30 cm
(5) 1.62 m
We know, 1.62 m = 1m + 0.62 m
1m = 100 cm
0.62 m = 62 cm
It means answer is 1m 62 cm
(6) 91.4 m
We know, 91.3 m = 91 m + 0.4 m
1m = 100 cm
0.4 m = 40 cm
It means answer is 91 m 40 cm
(7) 7.02 m
We know, 7.02 m = 7m + 0.02 m
1m = 100 cm
0.02 m = 2 cm
It means answer is 7m 2 cm
(8) 0.09
We know, 1 m = 100 cm
0.09 m = 9 cm
It means answer is 9 cm.
Question no – (4)
Solution :
(1) 1m 50 cm
We know, 1 m = 100 cm
50 cm = 0.5 m
1 m 50 cm written in decimal fractions as 1.5 m
(2) 50 m 40 cm
We know, 1 m = 100 cm
40 cm = 0.40 m
50 m 4 cm written in decimal fractions as 50.40m
(3) 50 m 4 cm
We know, 1 m = 100cm
4 cm = 0.04m
50 m 4cm written in decimal fraction as 50.04m
(4) 734 cm
We know, 1 m = 100 cm
734 cm = 700 cm + 34 cm
734 cm = 7m + 0.34m
734 cm = 7.34m
734 cm written in meter and decimal fraction as 7.34m
(5) 10 cm
We know, 1 m = 100 cm
10 cm = 0.1m
10 cm written in meter and decimal fraction as 0.1m
(6) 2 cm
We know, 1 m = 100 cm
2 cm = 0.02 m
2 cm written in meter and decimal fraction as 0.02 m.
Question no – (5)
Solution :
(1) 6.9 cm
We know, 6.9 cm = 6 cm + 0.9 cm
1 cm = 10 mm
0.9 cm = 9 mm
So, the answer is 6 cm 9 mm
(2) 20.4cm
20.4 cm = 20 cm + 0.4 cm
We know, 1 cm = 10 mm
0.4 cm = 4 mm
So, the answer is 20 cm 4 mm
(3) 0.8 cm
We know,
1 cm = 10 mm
0.8 cm = 8 mm
So, the answer is 8mm
(4) 0.5 cm
We know,
1 cm = 10 mm
0.5 cm = 5 mm
Therefore, the answer will be 5 mm.
Question no – (6)
Solution :
(1) 7 cm 1 mm
We know, 1 cm = 10 mm
1 mm = 0.1 cm
7 cm 1 mm written in decimal form as 7.1 cm
(2) 16 mm
We know, 1 cm = 10 mm
16 mm =1.6 cm
16 mm written in decimal form as 1.6 cm
(3) 144 mm
We know, 1 cm = 10 mm
144 mm = 14.4 cm
144 mm written in decimal form as 14.4 cm
(4) 8 mm
We know, 1 cm = 10 mm
8 mm = 0.8 cm
8 mm written in decimal form as 0.8 cm.
Problem Set 40 :
Question no – (1)
Solution :
(1) Two and a half
Two and a half is write like this 2 1/2
1 divided by 2 is 0.5 it is in decimal fraction
1 divided 2 = 0.5
The 2 1/2 is written as 2.5 in decimal fraction
(2) Two and a quarter
Two and a quarter is write like this 2 1/4
1 divided by 4 is 0.25 it is in decimal fraction
1 divided 4 = 0.25
The 2 1/4 is written as 0.25 in decimal fraction
(3) Two and three quarters
Two and three quarters is write like this 2 3/4
3 divided by 4 is 0.75 it is in decimal fraction
3 divided 4 = 0.75
The 2 3/4 is written as 2.75 in decimal fraction
(4) Ten and a half
Ten and a half is write like this 10 1/2
1 divided by 2 is 0.5 it is in decimal fraction
1 divided 2 = 0.5
The 10 1/2 is written as 10.5 in decimal fraction
(5) Fourteen and three quarters
fourteen and three quarters is write like this 14 3/4
3 divided by 4 is 0.75 is in decimal fraction
3 divided 4 = 0.75
The 14 ¾ is written as 14.75 in decimal fraction
(6) Sixteen and quarters
Sixteen and a quarters is write like this 16 1/4
1 divided by 4 is 0.25 it is in decimal fraction
1 divided 4 = 0.25
The 16 ¼ is written as 16.25 in decimal fraction
(7) Twenty – eight and a half
Twenty – eight and a half is write like this 28 1/2
1 divided by 2 is 0.5 it is in decimal fraction
1 divided 2 = 0.5
The 28 1/2 is written as 28.5 in decimal fraction.
Problem Set 41 :
Question no – (1)
Solution :
(1) ‘One and a half metre’ and ‘two and a half meters’
One and a half metre is write like this 1 (½) m
The 1 (½) m is written as 1.5 m in decimal fraction
Two and a half metres is write like this 2 (½) m
The 2 (½) m is written as 2.5 m in decimal fraction
1.5 and 2.5 are in decimal fraction
1 . 5
+
2 . 5
———————–
4 . 0
So the addition is 4.0 m
(2) ‘Four and three quarter rupees’ and ‘seven and a quarter rupees’
Four and three quarter rupees is write like this 4 (¼) r
The 4 (1/4) r is written as 4.25 r in decimal fraction
Seven and a quarter rupees is write like this 7 (¼) r
The 7 (1/4) r is written as 7.25 r in decimal fraction
4.25 And 7.25 are in decimal fraction
4 . 2 5
+
7. 2 5
———————–
1 1. 5 0
Therefore, the addition is ₹11.50
(3) ‘Six and a half meters’ and ‘three and three quarter metres’.
‘Six and a half metres is write like this 6(½) m
The 6 (1/2) m is written as 6.5 m in decimal fraction
three and three quarter metres is write like this 3(¾) m
The 3(3/4) m is written as 3.75 m in decimal fraction
6.5 m and 3.75 m are in decimal fraction
6 .05
+
3 .75
———————–
9 . 80
So, the addition is 9.80 m
Question no – (2)
Solution :
(1) 23.4 + 87.9
We know
23 . 4
+
87 . 9
———————–
111 .3
So, the addition is 1/11.3
(2) 35.74 + 816.6
We know
35 . 74
+
816 . 60
———————–
852 . 34
So, the addition is 852.34
(3) 6.95 + 74.88
We know,
0 6 . 95
+
7 4 . 88
———————–
81 . 83
So, the addition is 81.83
(4) 41.03 + 9.98
we know
41 . 03
+
09 . 98
———————–
51 . 01
So, the addition is 51.01
Question no – (3)
Solution :
(1) 51.4 cm + 68.5 cm
5 1 . 4
+
6 8 . 5
———————–
1 1 9 . 9
So, the addition is 119.9 cm
(2) 94.7 m + 1738.45 m
0 0 9 4 . 7 0
+
1 7 3 8 . 4 5
———————–
1 8 3 3 . 1 5
So, the addition is 1833.15 m
(3) ₹ 5158.75 + ₹ 841.25
5 1 5 8 . 7 5
+
0 8 4 1 . 2 5
———————–
6 0 0 0 . 0 0
So, the addition is ₹6000.00.
Problem Set 42 :
Question no – (1)
Solution :
(1) 25.74 – 13.42
25 . 74
– 13 . 42
———————–
12 . 32
So, the answer is 12.32
(2) 206.35 – 168.22
206.35
– 1 68.22
_________
0 38.13
So, the answer is 38.13
(3) 63.4 – 31.8
6 3 . 4
-3 1 . 8
———————–
3 1 . 6
So, the answer is 31.6
(4) 63.43 – 31.8
6 3 . 4 3
–
3 1 . 8
———————–
3 1 . 6 3
So, the answer is 31.63
(5) 63.4 – 31.83
6 3 . 4 0
–
3 1 . 8 3
———————–
3 1 . 5 7
So, the answer is 31.57
(6) 8.23 – 5.45
8 . 2 3
–
5 . 4 5
———————–
2 . 7 8
So, the answer is 2.78.
(7) 18.23 – 9.45
1 8 . 2 3
–
9 . 4 5
———————–
8 . 7 8
So, the answer is 8.78
(8) 78.03 – 41.65
7 8 . 0 3
–
4 1 . 6 5
———————–
3 6 . 38
So, the answer is 36.38
Question no – (2)
Solution :
Vrinda was 1.48 m tall
After a year, her height became 1.53 m
1 . 53 m
–
1 . 48 m
———————–
0 . 05 m
We know, 1 m = 100 cm
0.05 m = 5 cm
∴ 5 cm height increase in a year.
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