Zero से Hero तक! 🚀 Rational Numbers का धमाल!

Super Simple Explanation Of Questions with Examples

1. Is zero a rational number? Can you write it in the form p/q where p and q are integers and q ≠ 0?

👉 First, let’s understand what a rational number is.

A rational number is a number that can be written in the form of p/q, where:

• p (the top number) and q (the bottom number) are whole numbers or negative numbers.
• q (the bottom number) should not be 0, because division by 0 is not allowed.

Now, let’s check if 0 can be written in this form.

✅ Yes! We can write  0 as:

0 = ⁰⁄₁,
0 = ⁰⁄₂,
0 = ⁰⁄₅,
0 = ⁰⁄₁₀₀,
0 = ⁰⁄_-3

📌 Here, p = 0 and q is any non-zero number. Since this follows the rule of a rational number, zero is a rational number.

💡 Real-life example:

Imagine you have zero chocolates and you divide them among 5 friends.

Each friend gets 0 chocolates (0/5 = 0).

This means 0 is a rational number because it can be written as a fraction! ✅

2. Find six rational numbers between 3 and 4.

We need to find any six numbers between 3 and 4. These numbers should be bigger than 3 but smaller than 4.

Step 1: Pick decimal numbers between 3 and 4

✅ Examples:

                                                                            3.1,  3.2,  3.3,  3.5,  3.7,  3.9

Step 2: Convert these into fractions

• 3.1 = 31/10
• 3.2 = 32/10
• 3.3 = 33/10
• 3.5 = 35/10
• 3.7 = 37/10
• 3.9 = 39/10

💡 Real-life example:

• Imagine you have 3 full chocolates and your friend has 4 chocolates.
• Between them, there are chocolates like 3.1, 3.5, 3.9 chocolates.
• These are the numbers between 3 and 4! ✅

3. Find five rational numbers between 3/4 and 5/5.

👉 First, let’s understand these numbers:

3/4=0.75,          5/5=1.00

We need numbers between 0.75 and 1.00.

✅ Step 1: Choose some numbers between 0.75 and 1.00

0.76,  0.8,  0.85,  0.9,  0.95

✅ Step 2: Convert these into fractions

• 0.76 = 76/100
• 0.8 = 8/10
• 0.85 = 85/100
• 0.9 = 9/10
• 0.95 = 95/100

💡 Real-life example:

• Imagine you drink 3/4 (0.75) of a glass of water but not the full glass (1.0).
• Between them, you have different amounts like 0.8, 0.85, 0.9 glass of water.
• These are the numbers between 3/4 and 1 (5/5)! ✅

4. True or False Questions

(i) Every natural number is a whole number.

✔ True.

👉 Natural numbers are:

$$1,2,3,4,5,6,\dots (\text{counting numbers})$$

👉 Whole numbers are:

$$0,1,2,3,4,5,6,\dots (\text{counting numbers + 0})$$

💡 Real-life example:

• Imagine you are counting apples: 1 apple, 2 apples, 3 apples…
• These are natural numbers.
• Whole numbers also include 0 (0 apples).
  ✅ Since every natural number is already in whole numbers, the statement is true.

(ii) Every integer is a whole number.

✖ False.

👉 Integers are:

$$\dots ,-3,-2,-1,0,1,2,3,4,\dots$$

👉 Whole numbers are:

$$0,1,2,3,4,\dots$$

📌 Negative numbers are in integers but not in whole numbers!

💡 Real-life example:

• If your bank account balance is -3 rupees, this means you owe money.
• -3 is an integer, but not a whole number.
  ❌ Since negative numbers are not whole numbers, the statement is false.

(iii) Every rational number is a whole number.

✖ False.

👉 Rational numbers are:

1/2,  3/4,  5/3,  −2,  0,  1,  2,  3,…….

👉 Whole numbers are:

0,  1,  2,  3,  4,…

📌 Fractions like 1/2, 3/4, and 5/3 are rational but not whole numbers!

💡 Real-life example:

• If you eat half a pizza (1/2 pizza), this is a rational number but not a whole number.
• A whole number would be 1 full pizza, 2 pizzas, 3 pizzas, etc.
  ❌ Since rational numbers can be fractions, the statement is false.

Zero से Hero तक! 📢 Rational Numbers का धमाल! 🚀

🔥 क्या Zero भी Rational Number होता है? 🤯

Imagine करो कि तुम्हारे पास 0 chocolates हैं और तुम्हें इसे 5 दोस्तों में बांटना है. हर दोस्त को क्या मिलेगा? 🤔

✅ सिर्फ हवा! यानी Zero! 😆

Zero को हम fraction में लिख सकते हैं:

0=0/1,  0=0/2,  0=0/1000​

📌 Rule: Rational number को हमेशा p/q के रूप में लिखा जा सकता है (जहाँ q ≠ 0 हो).

तो हां, Zero भी एक Rational Number है! ✅

🤔 3 और 4 के बीच में 6 मज़ेदार Numbers कौन से हैं?

सोचो कि तुम्हारे पास 3 chocolates हैं और तुम्हारे दोस्त के पास 4 chocolates. लेकिन क्या इसके बीच में कुछ और chocolates भी हो सकती हैं?

✅ हां! Example देखो:

3.1,  3.2,  3.3,  3.5,  3.7,  3.9

👉 इनको fraction में लिखें:

31/10,  32/10,  33/10,  35/10,  37/10,  39/10​

💡 Fun Challenge:
👉 तुम 3 और 4 के बीच कोई 3 rational numbers सोच सकते हो? Comment में बताओ! 😍

🍕 3/4 और 5/5 के बीच 5 मजेदार Numbers!

अब सोचो तुम्हारे पास 1 पूरी pizza है. लेकिन तुम्हारा दोस्त सिर्फ 3/4 (75%) pizza खा सकता है. उसके और पूरी pizza (1) के बीच कौन-कौन से हिस्से होंगे? 🤔

✅ Examples:

0.76,  0.8,  0.85,  0.9,  0.95

👉 अब इन्हें fraction में लिखो:

76/100,  8/10,  85/100,  9/10,  95/100​

💡 Fun Fact:
🍕 अगर तुमने Pizza 85% खा ली, तो तुमने 0.85 fraction खाई! 😂

✅ True या False? चलो दिमाग दौड़ाते हैं! 🤓

👉 Q1: हर Natural Number, Whole Number होता है?
✅ सही! (क्योंकि 1, 2, 3… सब Whole Numbers में आते हैं!)

👉 Q2: हर Integer, Whole Number होता है?
❌ गलत! (क्योंकि -3, -2, -1 भी Integer होते हैं, लेकिन Whole Number नहीं!)

👉 Q3: हर Rational Number, Whole Number होता है?
❌ बिलकुल नहीं! (क्योंकि ½, ¾ जैसे numbers भी Rational होते हैं, पर Whole नहीं!)

💡 तुम्हारा Challenge:

• Zero से जुड़ा कोई और मजेदार Example सोचो!
• 3 और 4 के बीच कोई और Rational Numbers बताओ!
• True या False वाले सवालों में से एक को explain करो!

Comment में अपनी मजेदार सोच शेयर करो! 😍👇

👉 अगर समझ आया तो “🔥MATH ROCKS🔥” लिखो! 🚀

Check other topics below

Introduction to Numbers and the Number Line