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CBSENCERT.Class10.Math.RealNumbersNCERT-2023

Real numbers: Euclid's algorithm, fundamental theorem of arithmetic

NCERT (CBSE)·math·Grade 10·Bloom: Apply·Last verified: May 17, 2026

Apply Euclid's division algorithm and the Fundamental Theorem of Arithmetic. Distinguish rational and irrational numbers via decimal expansion.

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Skills that teach this standard (1)

1 with free practice questions
Number Sets & Infinity →
Number Representation & Place Value · Ages 13–14 · try 3 free questions

Concepts covered (20)

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Euclid's Division Lemma
realNumbers · math · Grade 10
Fundamental Theorem of Arithmetic
realNumbers · math · Grade 10
Properties of Irrational Numbers
realNumbers · math · Grade 10
Division Algorithm for Polynomials
polynomials · math · Grade 10
Decimal Representation of Rational Numbers
realNumbers · math · Grade 10
Solving Real Number Equations
realNumbers · math · Grade 10
Understanding Rational Numbers
realNumbers · math · Grade 10
Understanding Number Line
realNumbers · math · Grade 10
Identifying Irrational Numbers
realNumbers · math · Grade 10
Properties Of Real Numbers
realNumbers · math · Grade 10
Identifying Terminating And Non-Terminating Decimals
realNumbers · math · Grade 10
Decimal Representation Of Numbers
realNumbers · math · Grade 10
Finding L C M And G C D
realNumbers · math · Grade 10
Converting Repeating Decimals
realNumbers · math · Grade 10
Simplifying Square Roots
realNumbers · math · Grade 10
Rationalizing Denominators
realNumbers · math · Grade 10
Understanding Real Number System
realNumbers · math · Grade 10
Operations With Real Numbers
realNumbers · math · Grade 10
Polynomial Division
polynomials · math · Grade 10
Estimate Area Of Circles
areasRelatedToCircles · math · Grade 10

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