Rd Sharma Solutions Class 6 Chapter 7 Decimals
Welcome to NCTB Solution. Here with this post we are going to help 6th class students for the Solutions of Rd Sharma Class 6 Mathematics, Chapter 7, Decimals. Here students can easily find Exercise wise solution for chapter 7, Decimals. Students will find proper solutions for Exercise 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8 and 7.9. Our teachers solved every problem with easily understandable methods so that every students can understand easily. Here all solutions are based on the CBSE latest curriculum.
Decimals Exercise 7.1 Solution
Question no – (1)
Solution :
Given number,
(i) 52.5; (ii) 12.57
(iii) 15.05; (iv) 74.059
(v) 0.503
| Tens | Ones | Tenths | Hundredths | Thousands | |
| (i) | 5 | 2 | 5 | ||
| (ii) | 1 | 2 | 5 | 7 | |
| (iii) | 1 | 5 | 0 | 5 | |
| (iv) | 7 | 4 | 0 | 5 | 9 |
| (v) | 0 | 5 | 0 | 3 |
Question no – (2)
Solution :
(i) 307. 12
(ii) 9543.025
(iii) 12.503
Question no – (3)
Solution :
(i) 175.04
= One Hundred Seventy five and four hundredths.
(ii) 0.21
= Zero and twenty one hundredths.
(iii) 9.004
= Nine and four thousandths.
(iv) 0.459
= Zero and four hundred fifty nine thousandths.
Question no – (4)
Solution :
(i) 65 + 2/10 + 7/100
= 56.27
(ii) 45 + 9/100
= 45.09
(iii) 88 + 5/10 + 2/1000
= 88. 502
(iv) 3/10 + 7/1000
= 0.307
Question no – (5)
Solution :
(i) Five and four tenths
= 5 + 4/10
= 5.4
So, Five and four tenths is 5.4
(ii) Twelve and four hundredths
= 12 + 4/100
= 12.04
So, Twelve and four hundredths = 12.04
(iii) 9 + 705/100
= 9.705
So, Nine and Seven hundred five thousandths = 9.705
(iv) Zero point five two six = 0.526
(v) = 47 + 6/1000
= 47.006
Therefore, Forty seven and six thousandths = 47.006
(vi) 8/1000
= 0.008
So, Eight thousandths = 0.008
Decimals Exercise 7.2 Solution
Question no – (1)
Solution :
(i) 3/10
= 0.3
So, Three tenths = 0.3
(ii) = 2 + 5/10
= 2.5
So, two ones and five tenths = 2.5
(iii) 30 + 1/10
= 30.1
So, thirty and one tenths = 30.1
(iv) 22 + 6/10
= 22.6
So, twenty tow and six tenths = 22.6
(v) 100 + 2 + 3/10
= 102.3
Thus, One hundred, two ones and three tenths = 102.3
Question no – (2)
Solution :
(i) 30 + 6 + 2/10
= 36.2
So, decimal of 30 + 6 + 2/10 is 36.2
(ii) 700 + 5 + 7/10
= 705.7
So, decimal of 700 + 5 + 7/10 is 705.7
(iii) 200 + 6 + 5 1/10
= 265.1
So, decimal of 200 + 6 + 5 1/10 is 265.1
(iv) 200 + 70 + 9 + 5/10
= 279.5
So, decimal of 200 + 70 + 9 + 5/10 is 279.5
Question no – (3)
Solution :
(i) 22/10
= 2.2
(ii) 3/2
= 1.5
(iii) 2/5
= 0.4
Question no – (4)
Solution :
(i) 40 2/5
= 40 + 0.4
= 40.4
Therefore, decimal of 40 2/5 is 40.4
(ii) 39 2/10
= 39 + 0.2
= 39.2
Hence, decimal of 39 2/10 is 39.2
(iii) 4 3/5
= 4 + 0.6
= 4.6
Thus, decimal of 4 3/5 is 4.6
Question no – (5)
Solution :
(i) 3.8
= 3.8 = 3 + 8/10
= 38/10
= 19/5
(ii) 21.2
= 21.2 = 21 + 2/10
= 212/10
= 106/5
Question no – (6)
Solution :
Given numbers,
(i) 0.2; (ii) 1.9
(iii) 1.1; (iv) 2.5
Now on number line :
Question no – (7)
Solution :
Between Numbers :
(i) 0.8 = 0 and 1
(ii) 5.1 = 5 and 6
(iii) 2.6 = 2 and 3
(iv) 6.4 = 6 and 7
(v) 9.0 = 9
(vi) 4.9
Nearer to the number:
(i) 1
(ii) 5
(iii) 3
(iv) 6
(v) 9
(vi) 5
Question no – (8)
Solution :
A = 0.8
C = 1.8
B = 1.3
D = 2.9
Decimals Exercise 7.3 Solution
Question no – (1)
Solution :
(i) Five hundred twenty five and forty hundredths.
= 525. 40
(ii) Twelve and thirty five thousandths
= 12.035
(iii) Fifteen and seventeen thousandths,
= 15.017
(iv) Eighty eight and forty eight-hundredths
= 88.48
Question no – (2)
Solution :
(i) Given 137 + 5/100
= 137.05
So, decimal of 137 + 5/100 is 137.05
(ii) 20 + 9 + 4/100
= 29.04
So, decimal of 20 + 9 + 4/100 is 29.04
Question no – (3)
Solution :
(i) 8/100
= 0.008
So, 8/100 as decimal = 0.008
(ii) 300/1000
= 0.3
So, 300/1000 as decimal = 0.3
(iii) 18/1000
= 0.018
So, 18/1000 as decimal = 0.018
(iv) 208/100
= 2.08
So, 208/100 as decimal = 2.08
(v) 888/1000
= 0.888
So, 888/1000 as decimal = 0.888
Question no – (4)
Solution :
(i) 12 1/4
= 12 1/4
= 50/4
= 12.25
(ii) 7 1/8
= 7 1/8
= 57/8
= 7.125
(iii) 5 1/20
= 5 1/20
= 101/20
= 5.05
Question no – (5)
Solution :
(i) Given, 0.04
= 4/100 .. (as fraction)
= 2/50
= 1/25..(reduce form)
(ii) Given, 2.34
= 234/100 … (as fraction)
= 117/50 …(reduce form)
(iii) Given, 0.342
= 342/100 … (as fraction)
= 117/50 …(reduce form)
(iv) Given, 1.20
= 120/100… (as fraction)
= 12/10
= 6/5…(reduce form)
(v) Given, 17.38
= 1738/100 … (as fraction)
= 869/50 …(reduce form)
Question no – (6)
Solution :
(i) 20 + 9 + 4/10 + 1/000
= 29.41
(ii) 30 + 4/10 + 8/100 3/1000
= 30.483
(iii) 137 + 5/100
= 137 + 5/100
= 137.05
(iv) 7/10 + 6/100 + 4/1000
= 7/10 + 6/100 + 4/100
= 0.764
(v) 23 + 2/10 + 6/1000
= 23.206
(vi) 700 + 20 + 5 + 9/100
= 725.09
Decimals Exercise 7.4 Solution
Question no – (1)
Solution :
(i) 23/10
= 23/10
= 2.3
(ii) 139/100
= 1.39
(iii) 4375/1000
= 4.375
(iv) 12 1/2
= 25/2
= 12.5
(v) 75 1/4
= 75.25
(vi) 25 1/8
= 25.125
(vii) 18 3/24
= 18.125
(viii) 39 7/35
= 1372/35
= 39.2
(ix) 15 1/25
= 15.4
(x) 111/250
= 111/250
= 0.444
Question no – (2)
Solution :
(i) 0.5
= 5/10
= 1/2
(ii) 2.5
= 25/10
= 5/2
(iii) 0.60
= 60/100
= 6/10
= 3/5
(iv) 0.18
= 18/100
= 9/50
(v) 5.25
= 525/100
= 21/4
(vi) 7.125
= 7125/100
= 201/8
(vii) 15.004
= 15004/1000
= 3751/280
(viii) 20.375
= 20.375
= 20375/100
= 163/8
(x) 59.48
= 5948/100
= 1487/25
Decimals Exercise 7.5 Solution
Question no – (1)
Solution :
(i) 25.35 > 8.47
(ii) 20.695 < 20.93
(iii) 0.39 < 0.72
(iv) 0.019 < 0.23
(v) 0.2306 > 0.201
(vi) 0.93 < 0.99
Question no – (2)
Solution :
(i) 1.800 > 1.008
(ii) 3.8 = 3.300
(ii) 5.64 > 5.603
(iv) 1.5 = 1.50
(v) 1.431 < 1.439
(vi) 0.5 > 0.005
Decimals Exercise 7.6 Solution
Question no – (1)
Solution :
As we know that,
100 paise = 1 rupee.
(i) 15 paisa = 0.15 Rs
(ii) 5 paisa = 0.5 Rs
(iii) 350 paisa = 3.50 Rs
(iv) 2 rupees 60 paisa = 2.60 Rs
Question no – (2)
Solution :
As we know,
100 cm = 1 m
(i) 15 cm
= 15/100
= 0.15 m
(ii) 8 cm
= 8/100
= 0.8 m
(iii) 135 cm
= 135/100
= 1.35 m
(iv) 3 m 65 cm
= 3m + 65 cm
= 3.65 m
Question no – (3)
Solution :
As we know that,
10 mm = 1 cm
(i) 5 mm
= 5/10
= 0.5 cm
(ii) 60 mm
= 60/10
= 6 cm
(iii) 175 mm
= 175/10
= 17.5 cm
(iv) 4 cm 5 mm
= 4 cm + 5 mm
= 4.5 cm
Question no – (4)
Solution :
As we know,
1000 m = 1 km
(i) 5 m
= 5/1000
= 0.005 km
(ii) 55 m
= 55/1000
0.055 km
(iii) 555 m
= 55/1000
= 0.555 km
(iv) 5555 m
= 5555/1000
= 5.555 km
(v) 15 km 35 m
= 15 km + 35 m
= 15.035 km
Question no – (5)
Solution :
As we know,
1000 g = 1 kg
(i) 8 g
= 0.008 kg
(ii) 150 g
= 150/1000
= 0.150 kg
(iii) 2750g
= 2750/1000
= 2.750 kg
(iv) 5 kg 750 g
= 5750/1000
= 5.750 kg
(v) 36 kg 50 g
= 36 kg + 50 g
= 36.050 kg
Question no – (6)
Solution :
(i) Rs 5.25
= 525/100
= 21/4 Rs
(ii) 8.354 kg
= 8354/100 kg
(iii) 3.5 cm
= 35/10 cm
= 7/2 cm
(iv) 3.05 km
= 305/100 km
= 61/20 km
(v) 7.54 m
= 754/100 m
(vi) 15.005
= 15005/1000 kg
(vii) 12.05
= 12.05 m
(viii) 0.2 cm
= 1/5 cm
Decimals Exercise 7.7 Solution
Question no – (1)
Solution :
(i) 0.8 (0, 80, 0.85, 0,800,0.08)
= 0.85, 0.08
(ii) 25.1 (25, 01, 25.10 25.100, 25.001)
= 25.01, 25.001
(iii) 45.05 (45. 050, 45. 005, 45.0500)
= 45.005, 45.500
Question no – (2)
Solution :
Number (i) and Number (iii) are lie decimals because equal no of digits are present after the decimal point.
Question no – (3)
Solution :
(i) 8.05 and 7.95 are like decimals.
= Correct
(ii) 0.95, 0.306, 7.10 are unlike decimals.
= correct.
(iii) 3.70 and 3.7 are like decimals.
= Incorrect.
(iv) 13.59, 1.359, 135.9 are like decimals.
= Incorrect.
(v) 5.60, 3.04, 0.45 are like decimals.
= Correct.
Question no – (4)
Solution :
(i) 7.8, 7.85
Like decimal = 7.80, 7.85
(ii) 2.02, 3.2
Like decimal = 2.02, 3.20
(iii) 0.6, 5.8, 12.765
Like decimal = 0.600, 5.800, 12.765
(iv) 5.296, 5.2, 5.29
Like decimal = 5.296, 5.200, 5.290
(v) 4.329, 43.29, 432.94
Like decimal = 4.329, 43.2900, 432.94000
Decimals Exercise 7.8 Solution
Question no – (2)
Solution :
(i) Given, 41.8, 39.24, 5.01 and 62.6
= 41.8 + 39.24 + 5.01 + 62.6
= 148.65
(ii) Given, 4.702, 4.2, 6.02 and 1.27
= 4.702 + 4.2 + 6.02 + 1.27
= 16.192
(iii) Given, 18.03, 146.3, 0.829 and 5.324
= 18.03 + 146.3 + 0.829 + 5.324
= 170.483
Question no – (3)
Solution :
(i) 0.007
+ 8.5
+ 30.08
—————————-
= 38.587
(ii) 280.69
+ 25.2
+ 38
—————————-
= 343.89
(iii) 25.65
+ 9.005
+ 3.7
—————————-
= 38.355
(iv) 27.076
+ 0.55
+ 0.004
—————————-
= 27.630
Question no – (4)
Solution :
In the question,
Mother gave her = Rs 10.50
Father gave her = Rs 15.80
∴ Total amount given by her presents,
= (10.50 + 15.80) Rs
= 26.30 Rs
Therefore, the total amount 26.30 Rs.
Question no – (5)
Solution :
In the question,
Apples = 4 kg 90 g,
Grapes = 2 kg 60 g
Mangoes = 5 kg 300 g
∴ Weight of all fruits,
= (4.090 + 2.060 + 5.300) kg
= 11.450 kg
Therefore, the weight of the fruits is 11.450 kg.
Question no – (6)
Solution :
Given in the question,
Shirt = 3 m 20 cm cloth
Skit = 2 m 5 cloth
∴ Total cloth bought by her,
= (3.20 + 2.05) m
= 5.25 m
Therefore, the total cloth bought by her is 5.25 m.
Question no – (7)
Solution :
In the question,
By bus = 15 km 268 m,
By car = 7 km 7m
By foot = 500 m
∴ Distance from residence to school,
= (15.26.8 + 7.007 + 0.500) km
= 22.775 km
Thus, the school is 22.775 kilometers away from his residence.
Decimals Exercise 7.9 Solution
Question no – (1)
Solution :
(i) 46.2
– 37.5
————————
= 8.73
(ii) 128.4
– 53.05
————————
= 75.35
(iii) 45.03
– 27.80
————————
= 17.23
(iv) 23.93
– 5.946
————————
= 17.984
Question no – (2)
Solution :
(i) 9.756 – 628
= 3.476
∴ The value is 3.476
(ii) 21.05 – 15.27
= 5.78
∴ The value is 5.78
(iii) 18.5 – 6.79
= 11.71
∴ The value is 11.71
(iv) 48.1 – 0.37
= 47.73
∴ The value is 47.73
(v) 108.032 – 86.8
= 21.232
∴ The value is 21.232
(vi) 91.001 – 72.9
= 18.101
∴ The value is 18.101
(vii) 32.7 – 25.86
= 6.84
∴ The value is 6.84
(viii) 100 – 26.32
= 73.68
∴ The value is 73.68
Question no – (3)
Solution :
In the question,
Sum of two numbers = 100
One of them = 78.01
∴ Other number is,
= (100 – 78.01)
= 21.99
Therefore, the other number will be 21.99
Question no – (4)
Solution :
Distance of school = 5 km 350 m
Travels on foot = 1 km 70 m
Distance travel by bus,
= (5.350 – 1.070)
= (5.350 – 1.070) km
= 4.280 km
Hence, she 4.280 km travel by bus.
Question no – (5)
Solution :
We know,
Book price = Rs 35.65.
He gave shopkeeper = Rs 50
∴ Balance return,
= (50 – 35.65) Rs
= 14.35 Rs
Therefore, he get back Rs 14.35 from the shopkeeper.
Question no – (6)
Solution :
As we know,
Ruby bought watermelon = 5 kg 200 g.
she gave to her neighbor = 2 kg 750 g
∴ Weight of watermelon left with Ruby,
= (5.200 – 2.750) kg
= 2.450 kg
Therefore, weight of the watermelon left with Ruby is 2.450 kg.
Question no – (7)
Solution :
From the given data we know,
Victor drove on Saturday = 89.050 km
Victor drove on Sunday = 73.9 km
∴ Distance travel more by victor,
= (89.050 – 7.3.9)
= 15.25 km
Hence, he 15.25 km more drive on Saturday.
Question no – (9)
Solution :
According to the question,
Gopal travelled by bus = 125.5 km
By pony = 14.25 km
Total distance = 150 km
∴ Distance travelled by Gopal on foot,
= (150 – 125.5 – 14.25) km
= 10.25 km
Therefore, he travel 10.25 km on foot.
Question no – (10)
Solution :
According to the question,
Tina had = 20 m 5 cm long cloth.
She cuts = 4 m 50 cm length of cloth
∴ Length of cloth left her,
= (20.05 – 4.50)
= 15.55 m
Therefore, 15.55 m cloth is left with her.
Question no – (11)
Solution :
1st we need to find the total cost,
= (18.90 + 8.50 + 5.05)
= 32.45 Rs
Now, balance return back,
= (50 – 32.45) Rs
= 17.55
Thus, Vineeta will get back 17.55 Rs.
Question no – (12)
Solution :
According to the question,
Tanuj walked on Monday = 8.62 km
Tuesday = 7.05 km
∴ Distance walked by Tanuj,
= (21.01 – 8.62 – 7.05) km
= 5.34 km
Therefore, Tanuj walk 5.34 km on Wednesday
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