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Mathable Smart Lab

TRACK 1 • NUMBER SENSEStrand: Number Sense and Arithmetic Operations

Class VII: Arithmetic Expressions

Build, compare, evaluate, group, and simplify arithmetic expressions using terms and brackets.

What is an Arithmetic Expression?

An arithmetic expression is a mathematical phrase made using numbers and operations such as +, −, × and ÷. Every expression has a value.

13 + 2 is an expression. Its value is 15.
Different expressions can have the same value: 10 + 2, 15 − 3, 3 × 4, 24 ÷ 2 all equal 12.
Brackets remove confusion. 30 + (5 × 4) = 50, but (30 + 5) × 4 = 140.
30+5 × 4=50

Rules Hub

Expression and Value

An expression is evaluated to get its value.

Example: 13 + 2 = 15.

Compare Expressions

First compare their values.

10 + 2 > 7 + 1.

Brackets First

Evaluate inside brackets first.

100 − (15 + 56) = 29.

Terms

Terms are parts separated by + after converting subtraction to addition of inverse.

83 − 14 = 83 + (−14).

Multiplication in a Term

Evaluate multiplication/division inside each term first.

30 + 5 × 4 = 30 + 20.

Removing Brackets

Minus before bracket changes signs.

200 − (40 + 3) = 200 − 40 − 3.

Interactive Problem Lab

Score: 0Current Streak: 🔥 0Badge: Expression Explorer


Activity Zone

🧮 Expression Evaluator

Type an arithmetic expression using +, -, *, / and brackets.

50

⚖️ Compare Expressions

Choose the greater expression, or say equal.

1023 + 125
1022 + 128

🧩 Terms Identifier

Break the expression into terms.

🔴🟢 Token Model for Terms

Use positive and negative tokens to model adding terms.

Value: 0

🧱 Bracket Remover

See what happens when brackets are preceded by + or −.

💵 Money Expression Builder

Build ₹432 using notes and coins.

Worksheet Generator

Generate printable practice on expression values, comparison, brackets, terms, and real-life expression writing.



Real-World Expression Use

Lunch money: ₹25 per day for 5 days becomes 5 × 25.
Shopping change: Paying ₹100 for items costing ₹15 and ₹56 becomes 100 − (15 + 56).
Hotel bills: 4 dosas at ₹23 and ₹5 tip becomes 4 × 23 + 5.
Grouping games: 33 students in groups of 5 becomes 6 × 5 + 3.
Money combinations: ₹432 can be represented in many ways using notes and coins.

Teacher Tools

Topic Map Used

  • Simple arithmetic expressions and values.
  • Comparing expressions using =, < and >.
  • Brackets and order of evaluation.
  • Terms in expressions and subtraction as addition of inverse.
  • Swapping and grouping terms.
  • Real-world expressions: lunch, shopping, hotel bills, grouping games, money combinations.
  • Removing brackets and sign changes.

Learning Outcomes

  • Write expressions for everyday situations.
  • Evaluate expressions with brackets and multiple operations.
  • Identify terms in expressions.
  • Compare expressions using values and reasoning.
  • Remove brackets correctly.