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

Write 1 mm in centimetres as a decimal.

\(1\,\text{mm} = \dfrac{1}{10}\,\text{cm} = 0.1\,\text{cm}\).

Are 0.2, 0.20 and 0.200 equal?

Yes — adding zeros on the right of a decimal does not change its value.

Which is greater, 6.456 or 6.465?

\(6.465\) is greater, because at the hundredths place \(6 > 5\) while the higher places match.

What does 7.05 mean in place value?

It means \(7 \times 1 + 0\times\tfrac{1}{10} + 5\times\tfrac{1}{100}\), i.e. seven and five hundredths.

How do you read 0.274 aloud?

As "zero point two seven four", since it is 2 tenths, 7 hundredths and 4 thousandths.

Convert 254 g to kilograms as a decimal.

\(254\,\text{g} = \dfrac{254}{1000}\,\text{kg} = 0.254\,\text{kg}\).

\(2.7 + 3.5 = 6.2\), added like whole numbers keeping the points aligned.

How many hundredths make one tenth?

Ten hundredths make one tenth, since \(\dfrac{1}{10} = \dfrac{10}{100}\).

Write 75 paise in rupees as a decimal.

\(75\,\text{paise} = \dfrac{75}{100}\,\text{rupee} = \u20b90.75\).

A Peek Beyond the Point

Q: What does the decimal point separate?

The whole-number part of a number from its fractional (decimal) part.

Class 7 Mathematics · Ganita Prakash Part 1 · Chapter 3

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

This chapter extends the place value system below the units place to introduce decimals. To measure more precisely, a unit is split into ten one-tenths, each one-tenth into ten one-hundredths, and so on, so that \(1 = 10 \times \tfrac{1}{10}\) and \(\tfrac{1}{10} = 10 \times \tfrac{1}{100}\). A decimal point separates the whole-number part from the fractional part: \(70.5\) means \(7\times10 + 5\times\tfrac{1}{10}\), while \(7.05\) means \(7 + 5\times\tfrac{1}{100}\). You learn to read numbers like \(0.274\) as "zero point two seven four", to see that trailing zeros do not change a value \((0.2 = 0.20 = 0.200)\), and to locate and compare decimals on the number line by comparing digits place by place. The chapter connects decimals to everyday measurement — \(1\,\text{mm} = 0.1\,\text{cm}\), \(1\,\text{cm} = 0.01\,\text{m}\), \(1\,\text{g} = 0.001\,\text{kg}\), \(1\) paisa \(= \u20b90.01\) — and shows how to add and subtract decimals using the same column method as for whole numbers, plus a peek at the history of decimal notation.

Tenths, hundredths and thousandthsDecimal place value and notationLocating and comparing decimalsUnits of measurement (length, weight, money)Addition and subtraction of decimals

Key terms

Decimal point

The point "." that separates the whole-number part of a number from its fractional part.

Tenth

One of ten equal parts of a unit, written \(\dfrac{1}{10} = 0.1\).

Hundredth

One of a hundred equal parts of a unit, written \(\dfrac{1}{100} = 0.01\).

Thousandth

One of a thousand equal parts of a unit, written \(\dfrac{1}{1000} = 0.001\).

Decimal place value

The extension of the Indian place value system to tenths, hundredths, thousandths.

Equivalent decimals

Decimals with the same value although written differently, e.g. \(0.2 = 0.20 = 0.200\).

Extra questions & answers

Try one from this chapter

What does the decimal point separate in a number?

Flashcards & interactive practice