NCERT Solutions for Class 7 Mathematics Ganita Prakash II Chapter 4
NCERT solutions for Class 7 Mathematics Chapter Another Peek Beyond the Point – complete answers & explanations
In Class 7 Mathematics, Chapter Another Peek Beyond the Point helps students understand decimal numbers in depth, including how to multiply and divide decimals in real-life situations. The chapter connects fractions and decimals, showing how decimals extend the place value system. Students also explore interesting applications like distance, money, measurement, and even concepts like leap years. This chapter is important because it builds accuracy in calculations and strengthens problem-solving skills. These NCERT solutions are designed to help students follow the correct approach and gain confidence in solving questions. Download the worksheet and practice alongside solutions for better clarity. Book a free trial now to get expert guidance.
What this NCERT chapter covers?
1. Understanding decimals as an extension
of fractions and place value system.
2. Converting fractions into decimals and expressing decimals in expanded form.
3. Learning how to divide numbers by 10, 100, and 1000 using decimal shifting.
4. Performing multiplication of decimals using fraction methods and rules.
5. Understanding how decimal multiplication works in real-life situations.
6. Learning rules for placing decimal points in multiplication results.
7. Exploring when the product of decimals is greater or smaller than the numbers.
8. Performing division of decimals using place value and long division.
9. Understanding decimal division by 10, 100, and 1000.
10. Learning division when dividend or divisor is a decimal.
11. Exploring repeating decimals and patterns in division.
12. Applying decimal operations in real-life problems like money, length, and measurement.
How to use these NCERT solutions?
1. Read each question carefully and
try solving it before checking the answer.
2. Use these NCERT solutions to verify your answers step by step.
3. Compare your method with the given solution to understand the correct process.
4. Focus on decimal placement while multiplying and dividing.
5. Practice regularly to improve speed and accuracy.
6. Parents and teachers can guide students using these solutions for better understanding.
7. Follow the same order of questions as given in the chapter.
8. Re-attempt incorrect questions to strengthen concepts.
9. Use these solutions for revision before exams.
Important tips & tricks for students
1. Always count decimal places carefully in multiplication.
2. Remember to shift the decimal point correctly while dividing by 10, 100, or 1000.
3. Convert decimals into fractions when needed for easier calculations.
4. Be careful while performing long division with decimals.
5. Practice word problems to improve real-life application skills.
6. Avoid skipping steps in calculations.
7. Revise multiplication and division rules regularly.
8. Check answers to avoid decimal placement errors.
9. Understand patterns instead of memorising blindly.
10. Practice more problems to gain confidence.
NCERT solutions – complete answer key
4.1 A Quick Recap of Decimals
Answers may vary.
Answers may vary.
254/1000 = 0.254
847/10000
173/100
23/1000
123 ÷ 10 = 12.3
Examples:
24 ÷ 100 = 0.24
678 ÷ 1000 = 0.678
12 ÷ 1000 = 0.012
12345 ÷ 1000 = 12.345
4.2 Decimal Multiplication
9.5 × 5 = 47.5
The cost of 5 pens is ₹47.5.
12.5 × 7.5 = 93.75
The distance covered is 93.75 km
Ajay walks 9.924 km a week.
Area = 75.81 sq cm.
5.96 × 24.8 = 147.808
5.8 × 1.24 = 7.192
2.25 × 8 = 18
0.25 × 8 = 2
0.25 × 0.8 = 0.2
Figure it Out
1.
(a) 24 tenths
(b) Answers may vary.
(c) Answers may vary.
2.
(a) Answers may vary.
(b) Answers may vary.
(c) Answers may vary.
3. Answers may vary.
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8.
(a) Answers may vary.
(b) Answers may vary.
(c) Answers may vary.
(d) Answers may vary.
(e) Answers may vary.
(f) Answers may vary.
9. Answers may vary.
10. Answers may vary.
4.3 Decimal Division
3.9 ÷ 10 = 0.39
3.9 ÷ 100 = 0.039
Each girl gets 14.5 m.
Each friend gets 7.25 m.
1324 ÷ 4 = 331
1325 ÷ 4 = 331.25
237 ÷ 8 = 29.625
9.5 ÷ 4 = 2.375
0.06 ÷ 5 = 0.012
Figure it Out
1.
(a) Answers may vary.
(b) Answers may vary.
(c) Answers may vary.
(d) Answers may vary.
2.
(a) Answers may vary.
(b) Answers may vary.
3.
(a) Answers may vary.
(b) Answers may vary.
(c) Answers may vary.
(d) Answers may vary.
4.
(a) Answers may vary.
(b) Answers may vary.
(c) Answers may vary.
(d) Answers may vary.
(e) Answers may vary.
4.4 Look Before You Leap!
0.2422 × 100 = 24.22 days
(100 × 365 + 100/4 × 1) = 36,525 days
100 × 365.2422 = 36,524.22 days
(24 × 366) + (76 × 365) = 36,524 days
(750 × 365) + (240 × 366) + (8 × 365) + (2 × 366) = 3,65,242 days
Figure it Out
1. Answers may vary.
2. Answers may vary.
3. Answers may vary.
4. Answers may vary.
5.
5.5 km = _________ m
35 cm = ________ m
14.5 cm = _______ mm
68 g = ________ kg
9.02 m = ________ mm
125.5 ml = _______ l
6. Answers may vary.
7.
(a) Answers may vary.
(b) Answers may vary.
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9. Answers may vary.
10.
(a) Answers may vary.
(b) Answers may vary.
11.
(a) 245.05 × 0.942368
(b) 245.05 × 7.9682
(c) 245.05 ÷ 7.9682
(d) 245.05 ÷ 0.942368
(e) 245.05
(f) 7.9682
Why NCERT solutions help students?
NCERT solutions help students understand decimal concepts clearly and improve their calculation skills. They provide the correct methods to solve problems and help students prepare confidently for exams. With consistent practice, students can improve accuracy and develop strong mathematical understanding.
Help your child build strong Mathematics fundamentals with expert-guided learning support.