Modulus Meaning in Simple Words – Definition, Examples & Uses

🔢 What is Modulus (Absolute Value)?

The modulus (or absolute value) of a number is its distance from 0 on the number line—always positive, whether the original number is negative or positive.

📘 Modulus Symbol:

|x| → Modulus of *x*

🧠 Modulus Explained in Simple Roman Urdu

Modulus ka matlab hai:
Kisi number ki positive value lena, chahe wo negative ho ya positive.

🔸 Modulus Examples (With Explanation)

📏 Visualizing Modulus on a Number Line

• |+5| = 5 → 5 steps right from zero (→)
• |−5| = 5 → 5 steps left from zero (←)
  ✅ Both have the same distance (5) from 0

📌 Key Properties of Modulus

✔ Always positive (or zero)
✔ Removes the minus sign
✔ Not the same as remainder (%) or “mod” operator

✅ Modulus Formula

|x| = x (if *x* is positive or zero)
|x| = −x (if *x* is negative)

BODMAS Rule MCQs – Basic to Advanced Practice Questions (With Answers)

Master the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction) with these multiple-choice questions (MCQs). Test your math skills with basic to advanced problems and check your answers instantly!

📌 Basic Level BODMAS MCQs

1. What is the value of: 6 + 3 × 2?

• A) 12 ✅
• B) 18
• C) 9
• D) 15

Explanation: According to BODMAS, multiplication comes before addition:
3 × 2 = 6 → 6 + 6 = 12

2. What is the result of: 12 ÷ 3 + 2?

• A) 6 ✅
• B) 5
• C) 8
• D) 4

Explanation: Division first: 12 ÷ 3 = 4 → 4 + 2 = 6

3. Solve using BODMAS: 8 + (6 – 2)

• A) 10
• B) 12 ✅
• C) 14
• D) 8

Explanation: Brackets first: 6 – 2 = 4 → 8 + 4 = 12

4. Find the result: 15 – 3 × 2

• A) 6
• B) 24
• C) 9 ✅
• D) 21

Explanation: Multiplication first: 3 × 2 = 6 → 15 – 6 = 9

5. Evaluate: 2 + 3²

• A) 9
• B) 11 ✅
• C) 25
• D) 7

Explanation: Exponent (Order) first: 3² = 9 → 2 + 9 = 11

🔥 Advanced Level BODMAS MCQs

6. Evaluate: 5 + 2 × (4 + 3)

• A) 21 ✅
• B) 19
• C) 26
• D) 17

Explanation: Brackets first: 4 + 3 = 7 → 2 × 7 = 14 → 5 + 14 = 19 (Correction: Answer should be 19, not 21)

7. What is the value of: 16 ÷ 4 + 6 × 2?

• A) 16 ✅
• B) 18
• C) 15
• D) 12

Explanation: Division & Multiplication first:
16 ÷ 4 = 4
6 × 2 = 12
Now add: 4 + 12 = 16

8. Solve: 25 – [3 × (4 + 1)]

• A) 10 ✅
• B) 15
• C) 5
• D) 20

Explanation: Innermost brackets first:
4 + 1 = 5 → 3 × 5 = 15 → 25 – 15 = 10

9. Simplify: 3 + {6 × (2 + 1)²}

• A) 54
• B) 57 ✅
• C) 60
• D) 45

Explanation:

• Brackets first: 2 + 1 = 3
• Exponent: 3² = 9
• Multiplication: 6 × 9 = 54
• Addition: 3 + 54 = 57

10. Calculate: 100 ÷ (5 × 2) + 3²

• A) 19 ✅
• B) 17
• C) 25
• D) 13

Explanation:

• Brackets first: 5 × 2 = 10
• Division: 100 ÷ 10 = 10
• Exponent: 3² = 9
• Addition: 10 + 9 = 19

📌 Key Takeaways

✔ BODMAS order: Brackets → Orders (Exponents) → Division/Multiplication → Addition/Subtraction
✔ Always solve innermost brackets first
✔ Multiplication & Division have equal priority (left to right)
✔ Addition & Subtraction have equal priority (left to right)

BODMAS Rule: Full Form, Explanation & Examples for Perfect Calculations

🔤 What is BODMAS? Understanding the Order of Operations

BODMAS is the golden rule that determines the correct sequence for solving mathematical operations to avoid calculation errors. Whether you’re working with simple arithmetic or complex equations, applying BODMAS ensures accurate results every time.

📊 BODMAS Full Form Breakdown

Letter	Stands For	Meaning & Operations Included
B	Brackets	Parentheses ( ), Curly { }, Square [ ]
O	Orders	Exponents (powers), Roots (√, ∛)
D	Division	÷ or / operations
M	Multiplication	× or * operations
A	Addition	+ operations
S	Subtraction	– operations

📘 The BODMAS Rule: Step-by-Step Execution

Always follow this strict order of operations:

1. Brackets → Solve innermost grouping symbols first
2. Orders → Calculate exponents and roots
3. Division & Multiplication → Left to right sequence
4. Addition & Subtraction → Left to right sequence

🔍 Practical BODMAS Examples with Solutions

Example 1: Basic BODMAS Application

Problem: 6 + (2 × 3)
✅ Solution:

• Brackets first: (2 × 3) = 6
• Then addition: 6 + 6 = 12

Example 2: Division & Multiplication Sequence

Problem: 18 ÷ 3 × 2
✅ Solution:

• Left-to-right order: 18 ÷ 3 = 6
• Then: 6 × 2 = 12

Example 3: Comprehensive BODMAS Problem

Problem: 5 + 2² × (3 + 1)
✅ Solution:

• Innermost brackets: (3 + 1) = 4
• Exponents next: 2² = 4
• Multiplication: 4 × 4 = 16
• Final addition: 5 + 16 = 21

💡 Pro Tips for Mastering BODMAS

• Always identify all grouping symbols first
• Remember multiplication/division have equal priority (left to right)
• Addition/subtraction have equal priority (left to right)
• Use PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) as alternative terminology

📌 Why BODMAS Matters in Mathematics

• Eliminates ambiguity in calculations
• Standardizes problem-solving approaches
• Essential for algebra, calculus, and advanced math
• Critical for competitive exams and academic success