Identify rational numbers

Key notes:

🔢 What is a Rational Number?

A rational number is any number that can be written in the form a/b, where:

• a = integer
• b = integer (but not zero)
  👉 Example: 3/4, −5/2, 7, 0

---

🧮 Integers are Rational Numbers

All integers like −3, 0, 12 can be written as a fraction:
-3 = -3/1
12 = 12/1
✨ So, all integers are rational numbers.

---

💡 Decimals can be Rational Numbers

Decimals that are:

• Terminating (end after few digits) like 2.5, 6.75
• Repeating like 0.333…
  👉 These can be converted into fractions, so they are rational numbers ✨

---

🚫 What is NOT a Rational Number?

Numbers that cannot be written as a fraction are irrational numbers:
❌ √2
❌ π
❌ 0.101001000… (non-repeating, non-terminating decimal)

---

🧀 Rational Numbers on a Number Line

Rational numbers can be placed on the number line just like whole numbers.
👉 Example: 1/2 lies between 0 and 1.
📍 Every rational number has a exact position on the number line.

---

🎯 Rational Numbers Include:

✔ Positive numbers
✔ Negative numbers
✔ Zero
✔ Fractions
✔ Decimals (terminating/repeating)

---

🔍 Quick Test to Identify a Rational Number

Ask:
👉 Can I write it as a/b?
If yes → Rational number 😊
If no → Irrational number 🚫

---

🌈 Examples of Rational Numbers

• 4 = 4/1
• −7/9
• 0.75 = 3/4
• 0 = 0/1
• 2.222… = 2 2/9

---

🎉 Fun Fact!

Every rational number has many equivalent forms.
Example:
1/2 = 2/4 = 3/6 = 50/100 🌟

Learn with an example

Let’s practice!🖊️