In Class 7 Maths Chapter 2 Arithmetic Expressions, students move beyond basic calculations and begin understanding how numbers and operations work together in structured mathematical statements.
Mathematics becomes powerful and meaningful when students learn how to correctly simplify and evaluate expressions. This chapter lays the foundation for algebra and higher mathematics by teaching students how to:
- Evaluate arithmetic expressions correctly
- Apply the correct order of operations (BODMAS rule)
- Use brackets properly
- Understand terms in an expression
- Apply properties like commutative, associative, and distributive properties
- Solve real-life word problems using expressions
Arithmetic Expressions Worksheet
To help students master basic concepts, we have created a comprehensive Class 7 Maths worksheet and practice paper on Arithmetic Expressions that follows the latest CBSE pattern and school exam format.
Designed as per the latest school-level assessment pattern, these papers are ideal for:
- Unit Tests
- Periodic Tests
- Half-Yearly Preparation
- Final Exam Revision
- Extra Practice Worksheets
Download the printable PDF and boost your preparation with structured practice and detailed solutions.
Chapter 2 : Arithmetic Expressions Notes
In our daily life, we use numbers to calculate expenses, measure distances, count objects, and solve many practical problems. These calculations are written using arithmetic expressions.
Simple Expressions
An arithmetic expression is a mathematical phrase made up of numbers and operations.
Examples:
- 13 + 2
- 20 − 4
- 12 × 5
- 18 ÷ 3
Every expression has a value.
Example: 13 + 2 = 15
Different expressions can have the same value.
Example (value = 12):
- 10 + 2
- 15 − 3
- 3 × 4
- 24 ÷ 2
Comparing Expressions
Expressions can be compared using:
- (greater than)
- < (less than)
- = (equal to)
We compare expressions by comparing their values.
Example:
10 + 2 > 7 + 1
Because 12 > 8
Reading and Evaluating Complex Expressions
Without brackets, expressions may create confusion.
Example: 30 + 5 × 4
Order of Operations (BODMAS Rule)
Correct evaluation:
First multiply → 5 × 4 = 20
Then add → 30 + 20 = 50
Brackets clarify order:
30 + (5 × 4)
Terms in Expressions
Terms are parts of an expression separated by a + sign.
Example:
83 − 14 = 83 + (−14)
Terms: 83, −14
Important rule:
Subtraction is the same as adding the inverse.
Properties of Addition
Commutative Property
Changing order does not change sum.
a + b = b + a
Associative Property
Changing grouping does not change sum.
(a + b) + c = a + (b + c)
Removing Brackets
If bracket is preceded by negative sign, signs inside change.
Example:
200 − (40 + 3)
= 200 − 40 − 3
= 157
500 − (250 − 100)
= 500 − 250 + 100
If bracket is NOT preceded by negative sign, signs remain same.
Example:
28 + (35 − 10)
= 28 + 35 − 10
Distributive Property
Multiplication distributes over addition/subtraction.
a × (b + c) = a×b + a×c
Example:
4 × 5 + 3 × 5
= (4 + 3) × 5
Example:
97 × 25
= (100 − 3) × 25
= 100×25 − 3×25
This makes calculation easier.