Maharashtra Board Solutions Class 6-Maths (Practice Set 14): Chapter 5- Decimal Fractions
Maharashtra Board Solutions Class 6-Maths (Practice Set 14): Chapter 5- Decimal Fractions

Class 6: Maths Chapter 5 solutions. Complete Class 6 Maths Chapter 5 Notes.

Maharashtra Board Solutions Class 6-Maths (Practice Set 14): Chapter 5- Decimal Fractions

Maharashtra Board 6th Maths Chapter 5, Class 6 Maths Chapter 5 solutions

Question 1.
In the table below, write the place value of each of the digits in the number 378.025.

PlaceHundredsTensUnitsTenthsHundredthsThousandths
100101\frac { 1 }{ 10 }\frac { 1 }{ 100 }\frac { 1 }{ 1000 }
Digit378025
Place value300\frac { 0 }{ 10 }=0\frac { 5 }{ 1000 }
= 0.005

Solution:

PlaceHundredsTensUnitsTenthsHundredthsThousandths
100101\frac { 1 }{ 10 }\frac { 1 }{ 100 }\frac { 1 }{ 1000 }
Digit378025
Place value3007 × 10 = 708 × 1 = 8\frac { 0 }{ 10 }=0\frac { 2 }{ 100 }
= 0.02
\frac { 5 }{ 1000 }
= 0.005

Question 2.
Solve :

i. 905.5 + 27.197
ii. 39 + 700.65
iii. 40 + 27.7 + 2.451
Solution:
i. 905.5 + 27.197
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 1

ii. 39 + 700.65
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 2

iii. 40 + 27.7 + 2.451
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 3

Question 3.
Subtract:

i. 85.96 – 2.345
ii. 632.24 – 97.45
iii. 200.005 – 17.186
Solution:
i. 85.96 – 2.345
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 4

ii. 632.24 – 97.45
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 5

iii. 200.005 – 17.186
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 6

Question 4.
Avinash traveled 42 km 365 m by bus, 12 km 460 in by car and walked 640 m. How many kilometers did he travel altogether? (Write your answer in decimal fractions)
Solution:

Distance traveled in bus = 42 km 365 m
= 42 km + \frac { 365 }{ 1000 } km
= 42 km + 0.365 km
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 7
= 42.365 km
Distance travelled in car = 12 km 460 m
= 12 km + \frac { 460 }{ 1000 } km
= 12 km + 0.460 km
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 8
= 12.460 km
Distance walked = 640 m
= \frac { 640 }{ 1000 } = 0.640 km
∴ Total distance travelled = Distance travelled in bus + Distance travelled in car + Distance walked
= 42.365 + 12.460 + 0.640
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 9
= 55.465 km
∴ Distance travelled altogether by Avinash is 55.465 km.

Question 5.
Ayesha bought 1.80 m of cloth for her salwaar and 2.25 for her kurta. If the cloth costs Rs 120 per metre, how much must she pay the shopkeeper?
Solution:

Total length of cloth bought = 1.80 m + 2.25 m
= 4.05 m
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 10
Cost of 1 m of cloth = Rs 120
∴ Cost of 4.05 m of cloth = 4.05 x 120
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 11
∴ Amount to be paid to the shopkeeper is Rs 486.

Question 6.
Sujata bought a watermelon weighing 4.25 kg and gave 1 kg 750 g to the children in her neighbourhood. How much of it does she have left?
Solution:

Total weight of watermelon = 4.25 kg
Weight of watermelon given to children = 1 kg 750 g
= 1 kg + \frac { 750 }{ 1000 } kg
= 1 kg + 0.75 kg
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 12
= 1.75 kg
∴ Weight of watermelon left = Total weight of watermelon – Weight of watermelon given to children
= 4.25 kg – 1.75 kg
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 13
= 2.5 kg
∴ Weight of watermelon left with Sujata is 2.5 kg.

Question 7.
Anita was driving at a speed of 85.6 km per hour. The road had a speed limit of 55 km per hour. By how much should she reduce her speed to be within the speed limit?
Solution:

Speed at which Anita is driving = 85.6 km per hr.
Speed limit = 55 km per hr.
∴ Anita should reduce her speed by 85.6 km per hr – 55 km per hr.
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 14
= 30.6 km per hr.
∴ Anita should reduce her speed by 30.6 km per hour to be within the speed limit.

Questions and Activities

Question 1.
Nandu went to a shop to buy a pen, notebook, eraser and a paint box. The shopkeeper told him the prices. A pen costs four and a half rupees, an eraser one and a half, a notebook six and a half and a paintbox twenty-five rupees and fifty paise. Nandu bought one of each article. Prepare his bill.
If Nandu gave a 100 rupee note, how much money does he get back? (Textbook pg. no. 29)
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 15
Nandu will get __ rupees back.
Solution:

100 – 38 = 62.00
Nandu will get Rs 62 rupees back.
Maharashtra Board Class 6 Maths Solutions Chapter 5 Decimal Fractions Practice Set 14 16

Question 2.
Take a pen and notebook with you when you go to the market with your parent. Note the weight of every vegetable your mother buys. Find out the total weight of those vegetables. (Textbook pg. no. 30)
Solution:

(Students should attempt this activity on their own.)

Download PDF

Maharashtra Board Solutions Class 6-Maths (Practice Set 14): Chapter 5- Decimal Fractions

Download PDF: Maharashtra Board Solutions Class 6-Maths (Practice Set 14): Chapter 5- Decimal Fractions PDF

Chapterwise Maharashtra Board Solutions Class 6 Maths :

FAQs

Where do I get the Maharashtra State Board Books PDF For free download?

You can download the Maharashtra State Board Books from the eBalbharti official website, i.e. cart.ebalbharati.in or from this article.

How to Download Maharashtra State Board Books?

Students can get the Maharashtra Books for primary, secondary, and senior secondary classes from here.  You can view or download the Maharashtra State Board Books from this page or from the official website for free of cost. Students can follow the detailed steps below to visit the official website and download the e-books for all subjects or a specific subject in different mediums.
Step 1: Visit the official website ebalbharati.in
Step 2: On the top of the screen, select “Download PDF textbooks” 
Step 3: From the “Classes” section, select your class.
Step 4: From “Medium”, select the medium suitable to you.
Step 5: All Maharashtra board books for your class will now be displayed on the right side. 
Step 6: Click on the “Download” option to download the PDF book.

Who developed the Maharashtra State board books?

As of now, the MSCERT and Balbharti are responsible for the syllabus and textbooks of Classes 1 to 8, while Classes 9 and 10 are under the Maharashtra State Board of Secondary and Higher Secondary Education (MSBSHSE).

How many state boards are there in Maharashtra?

The Maharashtra State Board of Secondary & Higher Secondary Education, conducts the HSC and SSC Examinations in the state of Maharashtra through its nine Divisional Boards located at Pune, Mumbai, Aurangabad, Nasik, Kolhapur, Amravati, Latur, Nagpur and Ratnagiri.

About Maharashtra State Board (MSBSHSE)

The Maharashtra State Board of Secondary and Higher Secondary Education or MSBSHSE (Marathi: महाराष्ट्र राज्य माध्यमिक आणि उच्च माध्यमिक शिक्षण मंडळ), is an autonomous and statutory body established in 1965. The board was amended in the year 1977 under the provisions of the Maharashtra Act No. 41 of 1965.

The Maharashtra State Board of Secondary & Higher Secondary Education (MSBSHSE), Pune is an independent body of the Maharashtra Government. There are more than 1.4 million students that appear in the examination every year. The Maha State Board conducts the board examination twice a year. This board conducts the examination for SSC and HSC. 

The Maharashtra government established the Maharashtra State Bureau of Textbook Production and Curriculum Research, also commonly referred to as Ebalbharati, in 1967 to take up the responsibility of providing quality textbooks to students from all classes studying under the Maharashtra State Board. MSBHSE prepares and updates the curriculum to provide holistic development for students. It is designed to tackle the difficulty in understanding the concepts with simple language with simple illustrations. Every year around 10 lakh students are enrolled in schools that are affiliated with the Maharashtra State Board.