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About Arithmetic Expressions — Class 7 CBSE

Evaluate arithmetic expressions using order of operations (BODMAS). This topic is part of the CBSE Class 7 mathematics syllabus (chapter: Chapter 2). On this page you can practice 58 questions across three difficulty levels — 20 easy, 20 medium, and 18 hard — each with a visual step-by-step solution, plus a timed 33-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Arithmetic Expressions

  • Introduction to Arithmetic Expressions
  • Introducing BODMAS: The Order of Operations
  • Applying BODMAS with Multiple Operations
  • BODMAS with Integers and Larger Expressions
  • Summary, Connections, and Practice

Interactive lesson · about 15 minutes · checkpoint question after every unit

Arithmetic Expressions — solved examples for Class 7 CBSE

Example 1easy

Why is it important to follow the order of operations (BODMAS) when evaluating arithmetic expressions?
  1. A)To make calculations faster.
  2. B)To ensure a unique and correct answer.
  3. C)To use all numbers in the expression.
  4. D)To avoid using fractions.

Step-by-step solution

  1. The order of operations (BODMAS) provides a standard rule set for performing calculations.
  2. Following this specific order ensures that everyone evaluates an expression in the same way, thus leading to one unique and correct result, preventing ambiguity.

Answer: To ensure a unique and correct answer.

Example 2medium

Evaluate: 18 ÷ 2 + 5 × 3 - 7
  1. A)11
  2. B)23
  3. C)26
  4. D)17

Step-by-step solution

  1. Perform division: 18 ÷ 2 = 9.
  2. Perform multiplication: 5 × 3 = 15.
  3. Substitute these values into the expression: 9 + 15 - 7.
  4. Perform addition and subtraction from left to right: 24 - 7 = 17.

Answer: 17

Example 3hard

Evaluate the expression: `[(-15) × (-4)] ÷ (-12) - {(-3) × [18 - (6 ÷ 2)]}`
  1. A)-40
  2. B)40
  3. C)80
  4. D)-80

Step-by-step solution

  1. First, solve the innermost bracket: `(6 ÷ 2) = 3`.
  2. Substitute this back: `[(-15) × (-4)] ÷ (-12) - {(-3) × [18 - 3]}`.
  3. Solve the next innermost bracket: `[18 - 3] = 15`.
  4. The expression becomes: `[(-15) × (-4)] ÷ (-12) - {(-3) × 15}`.
  5. Perform multiplications: `(-15) × (-4) = 60` and `(-3) × 15 = -45`.
  6. The expression is now: `60 ÷ (-12) - {-45}`.
  7. Perform the division: `60 ÷ (-12) = -5`.
  8. Finally, solve the subtraction: `-5 - (-45) = -5 + 45 = 40`.

Answer: 40

Practice questions on Arithmetic Expressions

  1. Q1.easy

    Evaluate the following expression: 15 + 6 × 2 - 10 ÷ 5
    1. A)21
    2. B)17
    3. C)29
    4. D)25
    Show answer

    Answer: 25

    Hint: Remember to perform multiplication and division from left to right before addition and subtraction from left to right.

  2. Q2.easy

    Ravi evaluated 20 - 5 × 3 as follows: Step 1: 20 - 5 = 15. Step 2: 15 × 3 = 45. What mistake did Ravi make?
    1. A)He subtracted before multiplying.
    2. B)He multiplied before subtracting.
    3. C)He added instead of subtracting.
    4. D)He used the wrong numbers.
    Show answer

    Answer: He subtracted before multiplying.

    Hint: Recall the BODMAS rule for multiplication and subtraction.

  3. Q3.easy

    Evaluate the expression: 8 × (12 - 4) ÷ 2
    1. A)32
    2. B)16
    3. C)8
    4. D)48
    Show answer

    Answer: 32

    Hint: Always start with the operations inside the brackets first.

  4. Q4.medium

    Calculate the value of 24 - (3 × 5) + 10 ÷ 2.
    1. A)14
    2. B)19
    3. C)10
    4. D)29
    Show answer

    Answer: 14

    Hint: Always start by simplifying operations inside the brackets first, then proceed with division, multiplication, addition, and subtraction.

  5. Q5.medium

    Evaluate: -15 + 6 × (-2) - (-10).
    1. A)-37
    2. B)-17
    3. C)-13
    4. D)17
    Show answer

    Answer: -17

    Hint: Remember the rules for multiplying and subtracting integers, especially when dealing with negative signs, and apply BODMAS.

  6. Q6.medium

    A baker made 5 dozen cookies. He packed them into boxes of 6 cookies each. If he sold 8 boxes, how many cookies are left?
    1. A)10
    2. B)12
    3. C)15
    4. D)18
    Show answer

    Answer: 12

    Hint: First, calculate the total number of cookies, then the number of cookies sold, and finally find the remainder.

  7. Q7.hard

    Rahul was asked to evaluate `100 ÷ 5 × 2 + 3 - 1`. He solved it as follows:
    1. `100 ÷ 5 × 2 + 3 - 1`
    2. `= 100 ÷ 10 + 3 - 1` (Rahul's step)
    3. `= 10 + 3 - 1`
    4. `= 13 - 1`
    5. `= 12`
    In which step did Rahul make the first mistake?
    1. A)Step 1
    2. B)Step 2
    3. C)Step 3
    4. D)Step 4
    Show answer

    Answer: Step 2

    Hint: Recall the order of operations for multiplication and division. When both are present, they are performed from left to right.

  8. Q8.hard

    Insert the correct arithmetic operations (+, -, ×, ÷) in the blanks to make the equation true: `8 _ 4 _ 2 _ 6 _ 3 = 19`
    1. A)8 + 4 ÷ 2 × 6 - 3
    2. B)8 - 4 × 2 + 6 ÷ 3
    3. C)8 × 4 ÷ 2 + 6 - 3
    4. D)8 + 4 + 2 × 6 ÷ 3
    Show answer

    Answer: 8 × 4 ÷ 2 + 6 - 3

    Hint: Try testing each option by applying BODMAS rules. Remember the order of operations for each symbol.

  9. Q9.hard

    Which of the following statements is true?
    A) `(1/2 + 1/3) ÷ (1/4 - 1/6) = 10`
    B) `(0.5 × 0.4) + (0.6 ÷ 0.2) = 3.5`
    C) `(1/2 + 1/3) ÷ (1/4 - 1/6) < 10`
    D) `(0.5 × 0.4) + (0.6 ÷ 0.2) > 3.2`
    1. A)A
    2. B)B
    3. C)C
    4. D)D
    Show answer

    Answer: A

    Hint: Evaluate each side of the equation/inequality independently using BODMAS. Convert fractions to a common denominator or decimals for easier calculation.

These are 9 of the 58 questions available for Arithmetic Expressions. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.