What an expression is
A phrase, not a claim
Write 9 + 6 and you have named a quantity without saying what it comes to.
📚 Chapter Learning Kit
Arithmetic Expressions · Class 7 Mathematics · Ganita Prakash
English 3 topics 105 leveled MCQs 51 flashcards 5 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
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The value of an expression
Every expression names one number
The single number an expression stands for is its value.
What the equality sign does
The sign means "the same number"
We write 9 + 6 = 15, with the expression on the left and its value on the right.
Why arithmetic needs punctuation
One comma changes the meaning
"The cat watched the boy eating fish" says the boy is eating.
The whole bracket rule
Inside the brackets first
Everything inside a bracket is settled before anything outside it is touched.
Why they are worth writing
Brackets can change the answer
Compare (15 + 5) x 3 with 15 + 5 x 3.
📖 Smart notes
What you'll study, topic by topic
1
Expressions and the values they stand for
An arithmetic expression is a number phrase such as 9 + 6. Its value is the single number it stands for. Many different phrases share one value, so the phrase carries information the value does not. Mixing two operations…
- An arithmetic expression is a number phrase that names a quantity.
- The value of an expression is the single number it stands for.
- The equality sign says both sides are the same number written two ways.
~35 min · full explanation, examples & memory tricks in the app
2
Brackets, and the terms of an expression
Brackets are the punctuation of arithmetic: everything inside is settled first, and that can change the value. Without brackets an expression splits into terms at every plus sign. Each term is finished on its own, then t…
- Brackets say that everything inside them is settled first.
- Adding a bracket can change a value: 60 against 30 for the same digits.
- Brackets affect divisions as much as products.
~40 min · full explanation, examples & memory tricks in the app
3
Swapping terms, regrouping them, removing brackets
Terms are added, so they may be swapped and regrouped freely. A sign always travels with its own term. A minus written in front of a bracket flips the sign of every term inside. That one action lies behind both bracket-r…
- Terms are added, so they may be written in any order.
- A sign belongs to its term and travels with it when the term moves.
- Regrouping terms can make an awkward sum easy, as 46 with 54 makes 100.
~45 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
105 questions laddered from warm-up to topper-level, each with an explanation. A taste:
Which of these is an arithmetic expression rather than an equation?
Intermediate
A 9 + 6
B 9 + 6 = 15
C 9 + 6 > 14
D 9 + 6 is 15
Show answer & explanation
9 + 6
An expression names a number. The others each make a claim about two sides.
The value of an expression is
Beginner
A the largest number in it
B the single number it stands for
C the number of operations in it
D the first number written
Show answer & explanation
the single number it stands for
Evaluating an expression means finding that one number.
A tiffin costs 18 rupees and is bought on six days. The expression for the total is
Beginner
A 6 x 18
B 6 + 18
C 18 - 6
D 18 divided by 6
Show answer & explanation
6 x 18
Six lots of eighteen rupees is a product, and its value is 108.
A library holds 40 books. Seven shelves of nine books arrive. The expression for the total is
Intermediate
A 40 + 7 x 9
B 40 x 7 + 9
C 40 + 7 + 9
D 40 x 7 x 9
Show answer & explanation
40 + 7 x 9
The seven shelves give 7 x 9 books, and those are added to the 40.
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