Revision Notes for Class 7 Maths Chapter 2: Arithmetic Expressions

Condensed revision notes for Class 7 Maths Chapter 2: Arithmetic Expressions – Ganita Prakash textbook. These Class 7 Mathematics Chapter 2 notes are ideal for quick revision just before exams.

Last Updated: September 23, 2026

• Term: a part of an expression separated from the rest by a + or − sign; a multiplication/division chunk (like 7×23) counts as one term.
• Terms can be reordered freely without changing the expression’s value (this includes negative terms).
• Subtracting a number = adding its negative (e.g. 56−17 = 56+(−17)).
• Removing a bracket preceded by “+”: signs inside stay the same. Removing a bracket preceded by “−”: every sign inside flips.
• Distributive law: a×(b+c) = a×b + a×c, and a×(b−c) = a×b − a×c — useful both for simplifying expressions and for quick mental multiplication (e.g. 95×8 = (100−5)×8 = 800−40 = 760).
• Order of operations: evaluate multiplication/division “chunks” (terms) first, then combine terms left to right using their + or − signs; brackets are evaluated first of all.
• Sanity check: the same expression can often be evaluated two different ways (grouping differently) to double-check the answer.

More on this chapter: NCERT Solutions for Class 7 Maths Chapter 2 | Extra Questions for Class 7 Maths Chapter 2 | Class 7 Maths Book | Formulas Handbook

Frequently Asked Questions

What is the correct order of operations used to simplify an arithmetic expression?
The order of operations states that brackets are solved first, followed by powers and roots, then division and multiplication from left to right, and finally addition and subtraction from left to right.

Why can changing the order of operations give a different, incorrect answer?
Arithmetic expressions rely on a fixed convention for the order operations are performed, so solving them in a different sequence, such as adding before multiplying, can lead to an entirely different and incorrect final value.

Written by Satish

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