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Chapter 1 — Real Numbers

Introduction to Real Numbers (uploaded demo lesson)

0:42 · Free preview133

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Lessons7 lessons

Chapter 1 — Real Numbers3

1

PlayingIntroduction to Real Numbers (uploaded demo lesson)0:42Free 2

Euclid's division algorithm visualised9:59Free 3

Rational numbers — terminating decimals9:16Free

Chapter 2 — Polynomials2

4

Adding and subtracting polynomials1:43 5

Polynomial division — introduction5:26

Chapter 4 & 5 — Quadratic Equations, AP2

6

Quadratic equations — unit summary22:38 7

Arithmetic Progression — full chapter2:09:30

PDF notes1

1Class 10 Maths — Important Formulas3 pages

Real Numbers — formula notes3 pages · PDF · 166 KB

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Q1. State Euclid's division lemma.

For any two positive integers a and b, there exist unique whole numbers q and r such that a = bq + r, where 0 ≤ r < b.

Q2. Use Euclid's algorithm to find the HCF of 135 and 225.

225 = 135 × 1 + 90, 135 = 90 × 1 + 45, 90 = 45 × 2 + 0. So the HCF is 45.

Q3. Show that every positive even integer is of the form 2q.

Take b = 2 in a = bq + r: r is 0 or 1. If r = 0, a = 2q is even; so every even integer is 2q.

More important questions — Latest Updatedkacademy.co.inOpen ›

Q1. In a = bq + r, what is true about r?

Ar < 0B0 ≤ r < bCr > bDr = b

Q2. HCF of 96 and 404 is…

A2B4C8D12

Q3. If 17 = 5 × 3 + r, then r is…

A1B2C3D5

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