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**Maths Ace Class 7 Solutions Chapter 3 Decimals**

Welcome to NCTB Solutions. Here with this post we are going to help 7th class students for the Solutions of Maths Ace Prime Class 7 Math Book, Chapter 3, Decimals. Here students can easily find step by step solutions of all the problems for Decimals, Exercise 3.1, 3.2, 3.3, 3.4 and 3.5 Also here our mathematics teacher’s are 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 chapter 3 solutions.

**Decimals Exercise 3.1 Solution :**

**Question no – (1) **

**Solution :**

**(a)** 1.47 **<** 1.74

**(b)** 8.053 **>** 8.052

**(c)** 10.2 **=** 10.20

**(d)** 0.04** >** 0.004

**Question no – (2) **

**Solution :**

**(a) 0.06, 0.79, 0.0042, 0.43**

= 0.79, 0.43, 0.06, 0.0042

**(b) 101.23, 86.27, 110,49, 64.27**

= 110.49, 101,23, 86.27, 64.27

**Question no – (3)**

**Solution :**

**(a) 378.96 + 234.35 + 45.6**

= 1058.91

**(b) 456.78 + 23.90**

= 69.68

**(c) 32.9 + 12.6 + 34.5**

= 90.0

**(d) 200.9 + 100.09 + 25.78**

= 326.77

**Question no – (4) **

**Solution :**

**(a) 34.2 from 45.8**

= 11.6

**(b) 123.45 from 234.89**

= 111.44

**(c) 100.78 from 435.43**

= 334.65

**(d) 34.23 from**

= 644.67

**Decimals Exercise 3.2 Solution :**

**Question no – (1) **

**Solution :**

**(a) 1.25 × 10**

= 12.50

**(b) 12.26 × 10**

= 122.60

**(c) 126.456 × 100**

= 12645.600

**(d) 384.1256 × 1000**

= 384125.6000

**(e) 459.6 × 100**

= 45960.0

**(f) 1265.82 × 1000**

= 12658200.00

**Question no – (2) **

**Solution :**

**(a) 450.64 × 56**

= 25235.84

**(b) 332.6 × 24**

= 7982.4

**(c) 125.26 × 64**

= 8016.64

**(d) 332.89 × 221**

= 390,354.45

**(e) 1832.65 × 231**

= 73,568.69

**(f) 3.126 × 182**

= 568,932

**Question no – (3) **

**Solution :**

**(a) 23.4 × 34.6**

= 809.64

**(b) 100.5 × 45.03**

= 4525.515

**(c) 34.5 × 238.90 × 45.67**

= 376,414,424

**(d) 45.8 × 34.2 × 67.9**

= 106,355.844

**(e) 5.6 × 45.5 × 43.2**

= 11,007.36

**(f) 204.567 × 34.2 × 21.34 × 100**

= 14,929,872.4

**Decimals Exercise 3.3 Solution :**

**Question no – (1) **

**Solution : **

**(a) 0.7 ÷ 10**

= 0.07

**(b) 234.5 ÷ 100**

= 2.245

**(c) 34.5 ÷ 100**

= 0.345

**(d) 657.9 ÷ 10**

= 66.79

**(e) 16.29 ÷ 100**

= 0.1629

**(f) 225.63 ÷ 100**

= 0.22563

**Question no – (2) **

**Solution :**

**(a) 68.432 ÷ 12.22**

= 5.6

**(b) 2516.81 ÷ 2309**

= 109

**(c) 32.292 ÷ 14.04**

= 2.3

**(d) 289.6 ÷ 1.6**

= 18.1

**(e) 289.6 ÷ 6.4**

= 4.46875

**(f) 236.592 ÷ 0.36**

= 657.2

**Question no – (3) **

**Solution :**

**(a) 286.68 ÷ 12**

= 23.89

**(b) 300.15 ÷ 23**

= 13.05

**(c) 1089 ÷ 4.5**

= 242

**(d) 300.15 ÷ 23**

= 3.7

**(e) 62.7 ÷ 5.5**

= 11.4

**(f) 783 ÷ 34.8**

= 22.5

**Question no – (4)**

**Solution :**

As per the question,

253.134/12.6

= 20.09

So, the other numbers is 20.09

**Decimals Exercise 3.4 Solution :**

**Question no – (1) **

**Solution :**

**(a) 1 m =** _____** mm**

= 1 × 1000

= 100 mm

**∴** 1 m = 1000 mm

**(b) 1 dam =** ____** cm**

= 1 × 1000

= 1000 cm

**∴** 1 dam = 1000 cm

**(c) 1 kg =** _____** mg**

= 1 × 1000000

= 10000000 mg

**∴** 1 kg = 1000000 mg

**(d) 1 dL =** _____** mL**

= 1 × 100

= 100mL

**∴** 1 dL = 100mL

**(e) 1 hg =** _____** mg**

= 1 × 100000

= 100000 mg

**∴** 1 hg = 100000 mg

**(f) 1 L =** _____** cL**

= 1 × 100

= 100 cL

**∴** 1 L = 100 cL

**Question no – (2) **

**Solution :**

**(a) 20.90 km into cm**

= 20.90 × 100000

= 2090000000 cm

**(b) 60mL into kL**

= 60 ÷ 1000000

= 0.000006 kL

**(c) 45.76 dg into dag**

= 45.76 ÷ 100

= 0.4576 day

**(d) 120.333 g into kg**

= 34.39 ÷ 1000

= 34390 dm

**(e) 34.89 hm into dm**

= 34.39 × 1000

= 34390 dm

**(f) Given, 56.35 kg into cg**

= 56.35 × 100000

= 5636000.00 cg

**Question no – (3) **

**Solution :**

**(a)** 256 m = __256 × 100 = 25600__ cm = __256 × 100 = 256000__ mm

**(b)** 3446 mg = __2446 ÷ 100 = 25600__ g = __2446 ÷ 1000000 = 0.00.3446__ kg

**(c)** 598 kL = __598 × 1000 = 598000__ L = __598 × 1000000 = 598000000__ mL

**(d)** 118.75 km = __118__ km + __75__ m

**(e)** 6755 g = __6__ kg + __755__ g

**(f)** 28.7 kg = __28__ kg + = __700__ g

**Decimals Exercise 3.5 Solution :**

**Question no – (1)**

**Solution :**

She cover 3 km = 3000 m the distance

= 3000 × 94.8/45

= 6323.16 m

Therefore, the distance is 6323.16** m.**

**Question no – (2)**

**Solution :**

Given, Water contain in bottle = 500 mL

= Water fills 1/2 of the bottle

= 500/2 = 250 mL

= 250 ÷ 1000

= 0.250 L

Therefore, 0.250 litres of water does the bottle contain.

**Question no – (3)**

**Solution :**

As per the question,

= **1st** type of rice

= 13.23 × 30

= 396.9

= **2nd** type of rice

= 15.45 × 67.99

= 1050.4455

**∴** Total price

= 1050.4455 + 396.9

= 1447.3455

Total rice quality

= 13.23 + 15.45

= 28.68

Each packet of rice

= 28.68/3.585

= 8 Rs

Price of each packet

= 1447.3455/8

= 180.92 Rs

So, 180.92 such packets of rice are there and what is the cost of each packet.

**Question no – (4)**

**Solution :**

According to the question,

Selling price

= 4365.87 + 34500.78

= 38866.65

Selling price of 34 TV set

= 38866.65 × 34

= 1,321,466.1

Therefore, the selling price of one TV set is Rs 38866.65 and selling price of 34 TV set will be Rs 1,321,466.1

**Question no – (5)**

**Solution :**

Prem should be pay

= 3456.90 – (450.89 + 239.89 + 450.00)

= 3456.90 – 1140.78

= 2316.12

Therefore, Prem supposed to pay 2316.12 Rs.

**Question no – (6)**

**Solution :**

Rahul need to cover

= (3 – 2) = 1 km

= 1000 m

Circumference of turns = 2 m

**∴** Tyre need to turns

= 1000/2

= 500

**Question no – (7)**

**Solution :**

Rest distance to cover

= 560 – 347

= 213 m

Each step of walk = 0.5 m

**∴** Left the step to cover

= 213/0.5

= 426

Therefore, 426 steps were left to complete the race.

**Question no – (8)**

**Solution :**

Cost of 15 pair of shoes

= 346.672 × 15

= 5200.80

So, it cost for 15 such pairs of shoes will be 5200.80.

**Next Chapter Solution : **

👉 Chapter 4 👈