πŸ”₯ Warm-up – Confidence Boosters

5 min

1. What is 25 + 15?

2. What is 100 - 37?

3. What is 12 Γ— 5?

4. What is 144 Γ· 12?

πŸ’Ž Core Mission – Number System Basics

20 min

Types of Numbers

  • Natural Numbers: 1, 2, 3, 4, 5... (counting numbers)
  • Whole Numbers: 0, 1, 2, 3, 4... (natural numbers + zero)
  • Integers: ...-3, -2, -1, 0, 1, 2, 3... (whole numbers + negatives)
  • Rational Numbers: Numbers that can be expressed as p/q (e.g., 1/2, 0.75, 3)
  • Irrational Numbers: Numbers that cannot be expressed as fractions (e.g., Ο€, √2)

🎯 Decimal Comparison Trick

To compare decimals:

  • Compare digit by digit from left to right
  • 0.5 vs 0.45 β†’ Compare first decimal place: 5 > 4, so 0.5 is larger
  • 0.234 vs 0.24 β†’ Add zeros: 0.234 vs 0.240 β†’ 4 > 3, so 0.24 is larger

βš”οΈ Practice Arena

20 min

1. Which of the following is a rational number?

0.75 can be written as 3/4, making it a rational number.

2. Which is the largest: 0.5, 0.45, 0.505, 0.055?

Comparing: 0.500 vs 0.450 vs 0.505 vs 0.055 β†’ 0.505 is largest.

3. What is the sum of first 5 natural numbers?

1 + 2 + 3 + 4 + 5 = 15

4. Which of these is NOT an integer?

2.5 is a decimal, not an integer. Integers are whole numbers.

5. Convert 3/4 to decimal:

3 Γ· 4 = 0.75

⚑ Power-Up

5 min

🎯 Shortcut: Decimal Comparison Trick

Quick Method:

  1. Write all numbers with same decimal places (add zeros)
  2. Compare left to right, digit by digit
  3. First different digit determines which is larger
Example: Compare 0.6, 0.58, 0.605
β†’ 0.600 vs 0.580 vs 0.605
β†’ First decimal: all have same (5 or 6)
β†’ 0.6 (600) is largest, then 0.605, then 0.58

πŸ‘Ή Mini Boss Fight

10 min

⚠️ Hard difficulty - Each correct answer: 30 XP

1. Arrange in ascending order: 0.7, 0.07, 0.707, 0.077

Convert: 0.070, 0.077, 0.700, 0.707. Smallest to largest: 0.07, 0.077, 0.7, 0.707

2. What is the value of 1/8 + 3/8?

Enter as decimal
1/8 + 3/8 = 4/8 = 1/2 = 0.5

3. Which is NOT a prime number?

21 = 3 Γ— 7, so it's not a prime number (divisible by more than 1 and itself)

4. Convert 7/20 to percentage:

Enter number only (without %)
7/20 = 0.35 = 35%

5. What is the smallest natural number?

1 is the smallest natural number (counting starts from 1)

πŸŽ‰ Day 1 Complete!

Today you mastered Number System basics.
NTPC Maths is predictable. You're building the foundation for success!

πŸ† Foundation Master