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Arithmetic Expressions — Class 7 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 7 Mathematics chapter "Arithmetic Expressions" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 7 Mathematics chapter "Arithmetic Expressions" — 8 important questions with detailed answers for CBSE boar…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

  1. Simplify: 12 + 8 ÷ 4 - 2
  2. Simplify: 36 ÷ 6 × 3 + 2
  3. Evaluate: 2 × (15 - 5) ÷ 2
  4. Simplify: 100 - 10 × 5 + 8
  5. Find the value of: 8 + [5 × (6 - 2)]
  6. Simplify: 24 ÷ (12 - 4) × 2
  7. + 2 more questions in the full chapter

Solutions Summary:

Question Status
Simplify: 12 + 8 ÷ 4 - 2 ✓ Solved
Simplify: 36 ÷ 6 × 3 + 2 ✓ Solved
Evaluate: 2 × (15 - 5) ÷ 2 ✓ Solved
Simplify: 100 - 10 × 5 + 8 ✓ Solved
Find the value of: 8 + [5 × (6 - 2)] ✓ Solved
Simplify: 24 ÷ (12 - 4) × 2 ✓ Solved

Showing 6 of 8 questions

Q1: Simplify: 12 + 8 ÷ 4 - 2

Step 1: Apply BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) Step 2: First, perform division: 8 ÷ 4 = 2 Expression becomes: 12 + 2 - 2 Step 3: Perform addition and subtraction from left to right: 12 + 2 = 14 14 - 2 = 12 Answer: 12

Q2: Simplify: 36 ÷ 6 × 3 + 2

Step 1: Apply BODMAS Step 2: Perform division and multiplication from left to right: 36 ÷ 6 = 6 6 × 3 = 18 Expression becomes: 18 + 2 Step 3: Perform addition: 18 + 2 = 20 Answer: 20

Q3: Evaluate: 2 × (15 - 5) ÷ 2

Step 1: Apply BODMAS - evaluate brackets first (15 - 5) = 10 Step 2: Expression becomes: 2 × 10 ÷ 2 Step 3: Perform multiplication and division from left to right: 2 × 10 = 20 20 ÷ 2 = 10 Answer: 10

Q4: Simplify: 100 - 10 × 5 + 8

Step 1: Apply BODMAS Step 2: Perform multiplication first: 10 × 5 = 50 Expression becomes: 100 - 50 + 8 Step 3: Perform subtraction and addition from left to right: 100 - 50 = 50 50 + 8 = 58 Answer: 58

Q5: Find the value of: 8 + [5 × (6 - 2)]

Step 1: Apply BODMAS - evaluate innermost brackets first (6 - 2) = 4 Step 2: Expression becomes: 8 + [5 × 4] Step 3: Evaluate the square bracket: 5 × 4 = 20 Expression becomes: 8 + 20 Step 4: Perform addition: 8 + 20 = 28 Answer: 28

Q6: Simplify: 24 ÷ (12 - 4) × 2

Step 1: Apply BODMAS - evaluate brackets first (12 - 4) = 8 Step 2: Expression becomes: 24 ÷ 8 × 2 Step 3: Perform division and multiplication from left to right: 24 ÷ 8 = 3 3 × 2 = 6 Answer: 6

Showing 6 of 8 questions. Visit the full page for complete solutions.

More Class 7 Mathematics NCERT Solutions

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