Using concept of decimals, insert (i) three rational numbers between 3 and 3.5 (ii) four rational numbers between and 1/4 and 2/5. (iii) five rational numbers between and 1 1/2 and 1 3/4.

Question

KnowledgeBoat · Accepted Answer

(i) We want three rational numbers between 3 and 3.5. We know that, Terminating decimals are rational numbers. Let us take 3.1, 3.2, 3.3 Thus, we have : ⇒ 3 3.1 3.2 3.3 3.5 Hence, three rational numbers between 3 and 3.5 are 3.1, 3.2 and 3.3. (ii) Converting fraction in decimal form, = 0.25 = 0.40 We know that, Terminating decimals are rational numbers. Let us take 0.28, 0.30, 0.32, 0.34 Thus, we have : ⇒ 0.25 0.28 0.30 0.32 0.34 0.40 Hence, four rational numbers between = 0.28, 0.30, 0.32 and 0.34 (iii) We want five rational numbers between and . Numbers : and We know that, Terminating decimals are rational numbers. Let us take 1.61, 1.62, 1.63, 1.64, 1.65 Thus, we have : ⇒ 1.50 1.61 1.62 1.63 1.64 1.65 1.75 Hence, five rational numbers between = 1.61, 1.62, 1.63, 1.64 and 1.65.

Mathematics

Using concept of decimals, insert (i) three rational numbers between 3 and 3.5 (ii) four rational numbers between and 1/4 and 2/5. (iii) five rational numbers between and 1 1/2 and 1 3/4.

Rational Numbers

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