📚 Study Notes – Mathematical Signs
(For NMMS MAT – Beginner Level)
1. What Are Mathematical Signs?
Think of them as traffic signs for numbers.
- They tell you what to do (go straight, turn left, stop, etc.).
- They help you read and write equations and inequalities.
2. The “Road Signs” – Common Mathematical Symbols
| Symbol | Everyday Analogy | What It Means | Tiny Example |
|---|---|---|---|
+ |
“Add” sign: two cars merging | Put two numbers together | 3 + 4 = 7 |
- |
“Subtract” sign: a road split | Take one number away from another | 10 - 6 = 4 |
× or * |
“Multiply” sign: two arrows pointing each other | Repeat addition many times | 2 × 5 = 10 |
÷ or / |
“Divide” sign: a road split into equal parts | Split a number into equal pieces | 12 ÷ 4 = 3 |
= |
“Equals” sign: a straight line | Two sides are exactly the same | 8 = 8 |
≠ |
“Not equal” sign: a line with a slash | Two sides are different | 5 ≠ 3 |
< |
“Less than” sign: arrow pointing left | Left number is smaller | 2 < 5 |
> |
“Greater than” sign: arrow pointing right | Left number is bigger | 7 > 3 |
≤ |
“Less than or equal to” | Left side is smaller or the same | 4 ≤ 4 |
≥ |
“Greater than or equal to” | Left side is bigger or the same | 5 ≥ 5 |
( ) |
“Parentheses” | Group numbers to do them first | (2 + 3) × 4 = 20 |
^ |
“Power” sign | Number repeated as a multiplier | 2^3 = 8 (2 × 2 × 2) |
% |
“Percent” sign | One‑hundredth of a number | 50% of 200 = 100 |
! |
“Factorial” sign | Multiply downwards to 1 | 4! = 4 × 3 × 2 × 1 = 24 |
Tip: Think of each sign as a tool that changes the numbers around it.
3. How to Read a Simple Equation
- Start from left to right unless parentheses say otherwise.
- Use the sign to decide what to do.
- Check the result with the
=sign.
Example
(5 + 2) × 3 = ?
- Inside parentheses first:
5 + 2 = 7 - Then multiply:
7 × 3 = 21 - So the answer is
21.
4. Quick Practice Questions
Answer the following in one line.
9 − 4 = ?6 × 2 = ?15 ÷ 3 = ?7 < 9? (True/False)4! = ?
(Answers: 5, 12, 5, True, 24)
5. Tips for MAT Success
| Tip | Why It Helps |
|---|---|
| Write the symbols clearly. | Prevents misreading. |
| Practice with flashcards (one sign on one side, meaning on the other). | Reinforces memory. |
| Solve simple equations every day. | Builds speed and confidence. |
| Check your work by plugging the answer back into the equation. | Confirms you used the right sign. |
6. Quick Quiz for You
- What sign would you use to show that one number is bigger than another?
- If you want to split 20 into 4 equal parts, which sign do you write?
- Write the equation for “3 added to 5 equals 8.”
(Answers: >, ÷ or /, 3 + 5 = 8)
🎉 Final Thought
Mathematical signs are like the traffic lights of math.
Knowing what each one does lets you navigate numbers safely and quickly.
Keep practicing, and soon you’ll read and write equations as naturally as reading a road sign!