Class 7 · Chapter 12

Another Peek Beyond the Point

Deeper decimals — recurring decimals, comparing, rounding.

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Ganita Prakash · Class 7 Part 2 (2026-27)
Tip: NCERT updated the syllabus for 2026-27. The links above open the latest edition on the official portal — chapter titles and numbering may differ from the notes shown here.
Detailed theory
p/qp/q in lowest form terminates iff denominator has only 2s and 5s as prime factors.
Key concepts & formulas
01
Terminating decimal: ends after finite digits.
02
Recurring decimal: pattern repeats (e.g., 0.3‾=0.333…0.\overline 3 = 0.333\ldots).
03
Round decimals: look at digit right of rounding place.
04
Convert p/qp/q: divide numerator by denominator.
05
0.3‾=1/30.\overline 3 = 1/3; 0.27‾=27/99=3/110.\overline{27} = 27/99 = 3/11.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026