CBSE Class 7 Annual Assessment

Annual assessment for Class 7 students under CBSE, building on core subjects to enhance critical thinking and conceptual understanding.

A Peek Beyond the Point — Class 7 Mathematics

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Mathematics · 15 chapters
Summary, key terms, important questions and a practice quiz with AI diagnosis for each.

Chapter 3: A Peek Beyond the Point

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. \(0.2 = 0.20 = 0.200\).

Important questions

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Practice quiz

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#1

Class 7 Maths — A Peek Beyond the Point (Practice Quiz)

10 Qs · ~10 min