NCERT Solutions for Class 7 Mathematics Chapter 2 Arithmetic Expressions
NCERT Solutions for Class 7 Mathematics Chapter 2 Arithmetic Expressions
NCERT Solutions for Class 7 Mathematics Chapter 2 Arithmetic Expressions
This worksheet provides clear and accurate NCERT Solutions for Class 7 Mathematics Chapter Arithmetic Expressions. This chapter introduces students to arithmetic expressions, their values, comparison of expressions, use of brackets, and understanding terms in expressions. It is important because it builds a strong foundation for algebra and problem-solving skills in higher classes. This worksheet ensures that all answers follow NCERT standards and help students learn correct methods step by step.
Chapter summary: stories, poems & themes
This chapter is concept-based and includes examples, real-life situations, and activity-based questions. Students learn through numerical expressions, comparison problems, and practical scenarios such as money calculations, grouping, and daily-life situations. The main focus of the chapter is to understand arithmetic expressions, how to evaluate them, and how to apply operations correctly using rules like brackets and terms. The chapter also includes reasoning-based and activity-based questions to strengthen conceptual clarity.
What this NCERT chapter covers?
• Understanding arithmetic expressions and their values
• Comparing expressions using symbols like >, <, and =
• Learning about terms in expressions
• Using brackets to simplify expressions correctly
• Applying properties like commutative, associative, and distributive properties
• Solving real-life problems using expressions
• Activity-based and reasoning-based questions
How to use these NCERT solutions?
Students should first attempt each question on their own before checking the answers in this worksheet. These NCERT Solutions follow the exact order and structure of the NCERT textbook, making it easy to match each question. Parents and teachers can use this worksheet to guide students, check their understanding, and help them correct mistakes. It is also useful for revision before tests and exams.
Student tips & learning tricks
• Always follow the correct order of operations when solving expressions
• Carefully use brackets and solve inside brackets first
• Convert subtraction into addition of negative numbers when needed
• Double-check calculations to avoid small mistakes
• Practice comparing expressions without always calculating fully
• Read each question carefully before solving
Why NCERT solutions are important?
NCERT Solutions help students understand concepts clearly and accurately as per the official curriculum. They provide step-by-step answers that improve problem-solving skills and logical thinking. These solutions also help students prepare confidently for school exams and build a strong base for future mathematics learning.
Complete answer key – NCERT solutions
Choose your favourite number and write as many expressions as you can having that value.
1. Let us choose the number 24.
12 + 12 = 24; 4 × 6 = 24; 48 ÷ 2 = 24; 34 – 10 = 24; 20 + 4 = 24 etc.
Student-generated activity
Figure it Out
1. Fill in the blanks:
(a) 11
(b) 8
(c) 4
(d) 9
2. Ascending order:
120 ÷ 3 < 67 – 20 < 67 – 19 < 5 × 11 < 35 + 25
Comparison of expressions:
(a) >
(b) =
(c) <
(d) <
(e) <
Check replacing subtraction:
18 – 10 = 8 and 18 + (–10) = 8
Explain subtracting as adding inverse:
Refer chapter 10 of class VI Mathematics Textbook
Order of terms:
No, order does not change value
Negative numbers check:
Yes, examples provided
Explanation using token model:
Student explanation with examples
Adding terms in any order:
Yes, examples provided
Forgotten number problem:
11749 + 9055 = 20804
Friends cost problem:
7 × 23 + 5 = 166
Teacher grouping:
(a) 8 × 4 + 1
(b) 4 × 7 + 5
Terms identification:
4 × 100, 1 × 20, 1 × 10, 2 × 1
8 × 50, 1 × 10, 4 × 5, 2 × 1
Additional expression:
40 × 10 + 3 × 10 + 2 × 1
Figure it Out values:
(a) 29
(b) 38
(c) 50
(d) 36
(e) –142
Story-based questions:
(a) Value = 100
(b) Value = 54
(c) Value = 48
Situation-based questions:
(a) 2 × 100 + 100/2 = 250
(b) (i) 4 × 40 + 3 × 20 = 220
(ii) 2 × (3 × 40) = 240
(c) 7 × 5 + 6 × 2 + 2 × 3 = 53
Fill in blanks (terms):
Answers provided as per worksheet
Brackets removal:
(a) 24 + 6 – 4
(b) 38 + 9 – 4
(c) 24 – 6 – 4
(d) 24 – 6 – 4
(e) 27 – 8 – 3
(f) 27 – 8 + 3
Expression equality:
(a) Equal
(b) Not equal
(c) Equal
Same value expressions:
(a) 319 – 537 and –537 + 319
(b) Multiple expressions with same terms
Brackets addition:
(a) 34 – (9 + 12) = 13
(b) (56 – 14) – 8 = 34
(c) –22 – (12 + 10) + 22 = –22
Fill in blanks:
(a) 423 + 419 = 419 + 423
(b) 210 – 71
Expression generation:
Examples provided, student-generated activity
Jasoda method:
Correct with explanation
Equivalent expressions:
(a) (b), (c)
(b) (a), (d)
Additional expression:
3 × (43 + 24)
Multiplication explanation:
5 × 4 + 3 ≠ 5 × (4 + 3)
Product values:
(a) 760
(b) Partially solved
(c) Partially solved
Distributive property:
All answers provided as per worksheet
Comparison answers:
(a) >
(b) <
(c) <
(d) =
Expression formation for 14:
(a) 2 × (5 + 2)
(b) 2 × (3 + 4)
(c) 7 × (1 + 1)
(d) 2 × (6 + 1)
Picture-based sums:
I = 52
II = 88
Final situations:
(a) 7 × (9 + 11) = 140
(b) Savings = 96000
(c) Snail reaches in 8 days
Melvin story:
Correct options (b) and (g)
Expression evaluation:
Different methods shown
Final comparisons:
(a) =
(b) >
(c) <
(d) >
(e) =
(f) >
(g) =
(h) >
Equal expressions:
(a) (i), (iv)
(b) (iv)
Final activity:
Student-generated expressions
Master Class 7 Mathematics Chapter Arithmetic Expressions with clear NCERT Solutions designed for better understanding and exam success.