Question 5

We can find rational numbers by adding more digits to the smaller number.

Step 1 — Find the first rational number

We are given two numbers, 3.1415 and 3.1416. We need a number between them. Let's take the first number 3.1415. We can add a digit after its last digit. Let's add 1 to make it longer. $\text{First rational number} = 3.14151$

$\boxed{3.14151}$

Step 2 — Find the second rational number

We can find another number using the same method. Let's take 3.1415 again. We will add a different digit this time. Let's add 2 to the end. $\text{Second rational number} = 3.14152$

$\boxed{3.14152}$

Step 3 — Find the third rational number

We need one more rational number. Let's use 3.1415 one last time. We will add another digit to its end. Let's add 3 this time. $\text{Third rational number} = 3.14153$

$\boxed{3.14153}$

Answer

(i) 3.14151 (ii) 3.14152 (iii) 3.14153