Prove that the following rational numbers are equal: (i) and (ii) and (iii) and (iv) and

Question

KnowledgeBoat · Accepted Answer

Two rational numbers and are equal if ad = bc. (i) Given, and . Cross-multiplying : ⇒ 2 × 6 = 12 ⇒ 3 × 4 = 12 Since, 2 × 6 = 3 × 4. Hence, . (ii) Given, and . Cross-multiplying : ⇒ 5 × 8 = 40 ⇒ 4 × 10 = 40 Since, 5 × 8 = 4 × 10. Hence, . (iii) Given, and . Cross-multiplying : ⇒ (-3) × 10 = -30 ⇒ 5 × (-6) = -30 Since, (-3) × 10 = 5 × (-6). Hence, . (iv) Given, and 3. We can write 3 as . Cross-multiplying : ⇒ 9 × 1 = 9 ⇒ 3 × 3 = 9 Since, 9 × 1 = 3 × 3. Hence, .

Mathematics

Prove that the following rational numbers are equal: (i) and (ii) and (iii) and (iv) and

Whole Numbers

Related Questions

While adding or subtracting two rational numbers having different denominators, how will you make the denominators equal?

Verify the distributive law for rational numbers.