Assam SCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Exercise 2.3

Free Solutions for The Assam State School Education Board (ASSEB) Class 7 Maths Chapter 2 Exercise 2.3 in English Medium

Assam SCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Exercise 2.3

Digital Pipal Academy provides Assam SCERT Solutions for Class 7 Maths Exercise 2.3 in a downloadable PDF format. This exercise focuses on the multiplication of a fraction by a fraction, covering the multiplication of proper, improper, and mixed fractions. By practicing the solutions for Class 7 Maths Chapter 2 Fractions and Decimals, students can strengthen their understanding and improve their performance in Mathematics. It is highly recommended that students attempt the questions independently before referring to the solutions.

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Assam SCERT Solutions for Class 7 Maths Chapter 2: Fractions and Decimals (Exercise 2.3)

SCERT Solution for Class 7 Maths Chapter 2 Fractions and Decimals

Chapter Name	Solution Link
Exercise 2.1	Click Here
Exercise 2.2	Click Here
Exercise 2.3	Click Here
Exercise 2.4	Click Here
Exercise 2.5	Click Here

 

What You’ll Learn in Exercise 2.3?

✔️ Multiplication of fractions
✔️ Division of fractions
✔️ Word problems involving fractions

Get step-by-step solutions to master fractions and decimals effortlessly! 🚀📖

 

Chapter – 2: Fractions and Decimals

Chapter – 2: Fractions and Decimals Exercise 2.3

Exercise 2.3

Question 1. Write the decimal in expanded form:

(i) 3.05
(ii) 30.5
(iii) 235.005
(iv) 23005.005

Solution:-

(i) 3.05

 `3.05=3\times1+0\times\frac{1}{10}+5 \times\frac{1}{100}`

(ii) 30.5

`30.5= 3 \times 10 + 0 \times 1 + 5 \times \frac{1}{10}` 

(iii) 235.005 

`235.005= 2 \times 100 + 3 \times 10 + 5 \times 1 + 0 \times \frac{1}{10}`

` + 0 \times \frac{1}{100} + 5 \times \frac{1}{1000}`

(iv) 23005.005

` 23005.005= 2 \times 10000 + 3 \times 1000 + 0 \times 100 + `

`0 \times 10 + 5 \times 1 + 0 \times \frac{1}{10} + 0 \times \frac{1}{100} + 5 \times \frac{1}{1000}` 

 

 Question 2. Use decimals to express in meters and kilometers:

(i) 20 cm
(ii) 267 cm
(iii) 25732 mm
(iv) 3540 cm

 Solution:

(i) 20 cm = $\frac{20}{100}$ = 0.2 m
Again, $\frac{20}{100 \times 1000}$ km = 0.0002 km

(ii) 2.67 m and 0.00267 km

(iii) 25.732 m and 0.025732 km

(iv) 35.4 m and 0.0354 km

 Question 3. Use decimals to express in kilograms:

(i) 520 g
(ii) 4273 g
(iii) 692050 cg
(iv) 2 kg 5 g

Solution:

(i) 520 gm

$$= \frac{520}{1000} \text{ kg}$$ $$= 0.52 \text{ kg}$$

(ii) 4.273 kg

(iii) 6.9205 kg

(iv) 2.005 kg

Question 4. Express in Rupees:

(i) 5 paise
(ii) 5 rupees 5 paise
(iii) 55 rupees 55 paise
(iv) 50 rupees 50 paise

 Solution:

(i) 5 paise

$$= \frac{5}{100} \text{ Rupees}$$ $$= 0.05 \text{ Rs}$$

(ii) 5 rupees 5 paise

$$= 5 + \frac{5}{100}$$ $$= 5 + 0.05$$ $$= 5.05 \text{ Rs}$$

(iii) 55 rupees 55 paise

$$= 55 + \frac{55}{100}$$ $$= 55 + 0.55$$ $$= 55.55 \text{ Rs}$$

(iv) 50 rupees 50 paise

$$= 50 + \frac{50}{100}$$ $$= 50 + 0.50$$ $$= 50.50 \text{ Rs}$$

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Question 5. Which one is greater? Answer orally:

(i) 0.2 and 0.02
(ii) 3.03 and 3.30
(iii) 5 and 0.5
(iv) 0.4 and 0.44

Solution:

(i) 0.2 is greater than 0.02
(0.20 > 0.02)

(ii) 3.30 is greater than 3.03
(3.30 > 3.03)

(iii) 5 is greater than 0.5
(5.00 > 0.50)

(iv) 0.44 is greater than 0.4
(0.44 > 0.40)

 

Question 6. In an annual sports competition, in the boys' long jump event, Roktim jumped 3.3 m and Pranjal jumped 333 cm. Who jumped more and by how much?

Solution:

Roktim's jump = 3.3 m
Pranjal's jump = 333 cm = 333 ÷ 100 = 3.33 m
Difference = 3.33 - 3.3 = 0.03 m

Thus, Pranjal jumped 0.03 m more than Roktim.

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MCQs – Assam SCERT Class 7 Maths Chapter 2 (Exercise 2.3)

1. What is the product of $\frac{3}{5}$ and $\frac{2}{3}$?
   a) $\frac{6}{15}$
   b) $\frac{2}{5}$
   c) $\frac{5}{6}$
   d) $\frac{1}{5}$
   Answer: b) $\frac{2}{5}$

2. Which of the following fractions is the reciprocal of $\frac{4}{7}$?
   a) $\frac{7}{4}$
   b) $\frac{4}{7}$
   c) $\frac{3}{7}$
   d) $\frac{7}{3}$
   Answer: a) $\frac{7}{4}$

3. If $\frac{5}{8}$ is divided by $\frac{2}{3}$, what is the result?
   a) $\frac{5}{12}$
   b) $\frac{15}{16}$
   c) $\frac{10}{8}$
   d) $\frac{10}{24}$
   Answer: b) $\frac{15}{16}$

4. Which property is used in $a \times \frac{1}{a} = 1$?
   a) Commutative property
   b) Associative property
   c) Distributive property
   d) Reciprocal property
   Answer: d) Reciprocal property

5. What is the result of $6 \div \frac{3}{4}$?
   a) 8
   b) 9
   c) $\frac{9}{2}$
   d) 7
   Answer: b) 9

6. What is the product of $\frac{7}{9}$ and $\frac{3}{5}$?
   a) $\frac{21}{45}$
   b) $\frac{7}{15}$
   c) $\frac{10}{27}$
   d) $\frac{4}{9}$
   Answer: b) $\frac{7}{15}$

7. If a fraction is multiplied by its reciprocal, what is the result?
   a) The same fraction
   b) 0
   c) 1
   d) The numerator of the fraction
   Answer: c) 1

8. Which of the following represents division of $\frac{8}{9}$ by $\frac{2}{3}$?
   a) $\frac{8}{9} \times \frac{3}{2}$
   b) $\frac{8}{9} \times \frac{2}{3}$
   c) $\frac{8}{9} \div \frac{3}{2}$
   d) $\frac{8}{9} + \frac{2}{3}$
   Answer: a) $\frac{8}{9} \times \frac{3}{2}$

9. If $12 \div \frac{4}{5}$, then the answer is:
   a) 10
   b) 15
   c) $\frac{60}{4}$
   d) 9
   Answer: b) 15

10. A cake is divided into 6 equal parts, and Rina ate 2 parts. What fraction of the cake did she eat?
    a) $\frac{2}{6}$
    b) $\frac{1}{3}$
    c) $\frac{1}{2}$
    d) $\frac{2}{5}$
    Answer: a) $\frac{2}{6}$ or $\frac{1}{3}$

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FAQs – Assam SCERT Class 7 Maths Chapter 2 (Exercise 2.3)

Q1: What topics are covered in Exercise 2.3 of Chapter 2?

✅ Answer: Exercise 2.3 covers multiplication and division of fractions, including real-life word problems.

Q2: How will these solutions help in exam preparation?

✅ Answer: The step-by-step solutions ensure a clear understanding of concepts, helping students perform better in exams.

Q3: Are the solutions provided here as per the SCERT Assam syllabus?

✅ Answer: Yes, all solutions strictly follow the SCERT Assam syllabus and are written in an exam-friendly format.

Q4: Can I download the solutions for Exercise 2.3?

✅ Answer: Currently, the solutions are available online for free at Digital Pipal Academy. Stay tuned for downloadable PDF versions in the future!

Q5: Where can I find solutions for other Class 7 Maths chapters?

✅ Answer: You can explore Digital Pipal Academy for free solutions to all SCERT Class 7 Maths chapters, as well as other subjects like Science and English.

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📌 Related Posts:

📖 Chapter 2 (Exercise 2.2): Fractions and Decimals - SCERT Solutions
📖 Chapter 3: Data Handling - SCERT Solutions

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