What is financial infrastructure?

The network of banks, payment systems and stock markets that helps manage money

What are the main things a bank does?

Holds deposits and lends money as loans

How do banks make money?

They pay lower interest on deposits and charge higher interest on loans

Earning interest on previous interest as well as on the original amount

What is an arithmetic expression?

A mathematical phrase that combines numbers with operations and evaluates to a single value, e.g. \(13 + 2\).

Can different expressions have the same value? Give an example.

Yes; \(10+2\), \(15-3\), \(3\times4\) and \(24\div2\) all equal \(12\).

How do we compare two expressions?

By comparing their values and writing \(=\), \( \); e.g. \(10+2 > 7+1\) because \(12 > 8\).

Fill the blank: 13 + 4 = ___ + 6.

The blank is \(11\), since both sides equal \(17\).

How would you write "Mallika spends \u20b925 each day for 5 days"?

As the expression \(5 \times 25\), whose value is \(125\).

What does the distributive property let you do?

It lets you open a bracket: \(a \times (b+c) = a \times b + a \times c\).

Why do we use brackets in an expression?

To group terms so they are evaluated together first, which fixes a single value.

Is 13 - 2 < 4 \u00d7 3 true?

Yes, because \(13-2 = 11\) and \(4\times3 = 12\), so \(11 < 12\).

Why does following the order of operations matter?

It ensures every arithmetic expression has exactly one agreed value.

Arithmetic Expressions

Q: Is 13 - 2 < 4 \u00d7 3 true?

Yes, because \(13-2 = 11\) and \(4\times3 = 12\), so \(11 < 12\).

Q: Why does following the order of operations matter?

It ensures every arithmetic expression has exactly one agreed value.

Class 7 Mathematics · Ganita Prakash Part 1 · Chapter 2

163 members in the CBSE community

View all

CBSE Class 7 · Mathematics

8 chapters: lakhs and crores to fractions

Marks booster + cheatsheet: key concepts in 2 lines each, common traps
Triangle inequality, Ch 7
Angle pairs of parallel lines, Ch 5
Common traps, corrected
Magic squares and Virahāṅka numbers, Ch 6
Brahmagupta's fraction formulas, Ch 8

Page 1 free about 8 min read, Full kit about 55 min read

₹39See the full kit

CBSE Class 7 · MathematicsTrending

Five congruence conditions to equations

Marks booster + cheatsheet: key concepts in 2 lines each
Integer sign rules, Ch 2
HCF and LCM by prime factors, Ch 3
Multiplying and dividing decimals, Ch 4
Mean, median and outliers, Ch 5
Ruler-and-compass constructions, Ch 6

Page 1 free about 8 min read, Full kit about 55 min read

₹39See the full kit

View all 7 amazing Marks Booster kits →

Summary

An arithmetic expression is a mathematical phrase such as \(13 + 2\), \(20 - 4\) or \(12 \times 5\) that has a single value — the number it evaluates to. This chapter teaches you to read expressions (\(5 \times 25\) as "5 times 25" or "the product of 5 and 25"), to write them for real situations, and to compare two expressions using \(=\), \(<\) and \(>\) based on their values. You see that many different expressions can stand for the same number, for example \(10+2\), \(15-3\), \(3\times4\) and \(24\div2\) all equal \(12\). The heart of the chapter is the structure of expressions: how brackets, terms, and the operations of addition, subtraction, multiplication and division fit together, and why following the agreed order of operations gives one definite value. You learn to use brackets to group terms, to "open" brackets, and to apply useful properties such as the distributive property to swap, regroup and simplify expressions efficiently. These skills lay the groundwork for algebra, where letters later stand in for numbers.

Reading and writing arithmetic expressionsValue of an expressionComparing expressions with =, < and >Terms and bracketsDistributive property and simplifying

Key terms

Arithmetic expression

A phrase combining numbers with operations \((+, -, \times, \div)\) that has a single value.

Value of an expression

The single number an expression evaluates to, e.g. the value of \(13+2\) is \(15\).

Term

A part of an expression separated by \(+\) or \(-\) signs.

Brackets

Symbols used to group parts of an expression so they are evaluated together first.

Comparing expressions

Deciding which expression is larger using \(=\), \(<\) or \(>\) by comparing their values.

Distributive property

The rule \(a \times (b + c) = a \times b + a \times c\), used to open brackets.

Extra questions & answers

Try one from this chapter

What is the value of the expression \(13 + 2\)?

Flashcards & interactive practice