Revision Notes for Class 7 Maths Chapter 3: A Peek Beyond the Point

Condensed revision notes for Class 7 Maths Chapter 3: A Peek Beyond the Point – Ganita Prakash textbook. These Class 7 Mathematics Chapter 3 notes are ideal for quick revision just before exams.

Last Updated: September 23, 2026

• Decimal place values (after the point): tenths (1/10), hundredths (1/100), thousandths (1/1000).
• Key conversions: 1000 thousandths = 1 unit; 100 thousandths = 1 tenth; 10 thousandths = 1 hundredth; 100 tenths = 1 ten.
• Comparing decimals: compare the whole-number part first, then compare digit-by-digit after the decimal point (tenths, then hundredths, etc.) — more digits does NOT mean a bigger number (e.g. 0.9 > 0.123456789).
• Equal decimals: trailing zeros after the last nonzero digit don’t change the value (4.5 = 4.50 = 4.500); leading zeros before the whole-number part also don’t matter (4.5 = 04.5).
• Adding/subtracting decimals: line up the decimal points (same place values in the same column) before adding or subtracting.
• Estimation check: the sum of two decimals always lies between (sum of whole-number parts) and (that sum + 2), since each decimal part is less than 1.
• Unit conversions: 1 m = 100 cm = 1,000 mm; 1 km = 1,000 m = 1,000,000 mm; 1 rupee = 100 paise.
• Fraction↔decimal: 1/2=0.5, 1/4=0.25, 3/4=0.75, 1/5=0.2, 4/5=0.8 — useful benchmark values.

More on this chapter: NCERT Solutions: Class 7 Maths Chapter 3 | Extra Questions: Class 7 Maths Chapter 3 | Class 7 Maths Book | Formulas Handbook

Frequently Asked Questions

What does a digit after the decimal point represent in a decimal number?
Each digit after the decimal point represents a fractional part of a whole, with the first digit representing tenths, the second representing hundredths, and so on, extending place value beyond whole numbers.

How is comparing two decimal numbers different from comparing two whole numbers?
Whole number parts are compared first, and if equal, the digits after the decimal point are compared one by one from left to right, rather than simply comparing the total number of digits as with whole numbers.

Written by Satish

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