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YOUR STUDY SPACE · CBSE

A Peek Beyond the Point — Class 7 Mathematics

Ganita Prakash Part 1 · Chapter 3

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Chapter 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 and . A decimal point separates the whole-number part from the fractional part: means , while means . You learn to read numbers like as "zero point two seven four", to see that trailing zeros do not change a value , and to locate and compare decimals on the number line by comparing digits place by place. The chapter connects decimals to everyday measurement — , , , paisa — 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 ideas & 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 .
Hundredth
One of a hundred equal parts of a unit, written .
Thousandth
One of a thousand equal parts of a unit, written .
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. .

Extra questions & answers

What does the decimal point separate?

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

Write 1 mm in centimetres as a decimal.

.

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?

is greater, because at the hundredths place while the higher places match.

What does 7.05 mean in place value?

It means , 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.

.

What is 2.7 + 3.5?

, added like whole numbers keeping the points aligned.

How many hundredths make one tenth?

Ten hundredths make one tenth, since .

Write 75 paise in rupees as a decimal.

.