=	When two values are equal, we use the “equals” sign	example: 2+2 = 4
<	When one value is smaller than another, we can use a “less than” sign.	example: 3 < 5
>	When one value is bigger than another, we can use a “greater than” sign	example: 9 > 6

How to compare and order integers?

Integers on the left side of 0 on the number line get smaller as we move from right to left, whereas integers on the right side of 0 get greater as we move from left to right. Therefore, to compare two integers, we can use greater than (>) or less than (<) symbols.

How to order the integers from lowest to highest? Give an example.

The ordering of integers can be done from lowest to highest in ascending order. For example, if we integers such as, 5, -1, 0, 3, -4, -6, 1, 2, then the order of the given integers from lowest to highest will be:
-6 < -4 < -1 < 0 < 1 < 2 < 3< 5

Which is the smallest and largest integers among the ordered integers of -5 to 5?

If the integers are ordered from -5 to 5, then;
-5 < -4 < -3 < -2 < -1 < 0 < 1 < 2 < 3 < 4 < 5
Thus, from the above arrangement, we can say the smallest integer is -5, and the greatest integer is 5

Rules for Comparing Integers

Situation	Rule	Example
Comparing a positive and negative	Positive is always greater	3 > -2
Comparing two negative numbers	The one closer to 0 is greater	-2 > -5
Same number	They are equal	-4 = -4
Positive numbers	Higher number is greater	7 > 3
Negative numbers	Smaller absolute value is greater	-1 > -6

Ordering Integers

To order integers means to arrange them from:

• Least to greatest (ascending order)
• Greatest to least (descending order)

🔸 A. Ascending Order:

From smallest to largest
➡️ Example:
-8, -3, 0, 4, 7

🔸 B. Descending Order:

From largest to smallest
➡️ Example:
7, 4, 0, -3, -8

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🧾 Real-Life Examples of Comparing Integers

• Temperature:
  5°C > -2°C → Warmer temperature is greater
• Bank Balance:
  ₹200 > ₹-100 → Positive balance is greater than debt
• Elevation:
  Sea level (0 m) > Mount basement (-100 m)

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Step-by-Step Process to Compare and Order

✅ Comparing Two Integers:

1. Look at the signs (positive or negative).
2. Use a number line if needed.
3. Apply the rule: further right = greater.

✅ Ordering Multiple Integers:

1. Plot them mentally (or on a number line).
2. Identify the smallest and largest.
3. Arrange them based on ascending or descending need.

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🎯 Key Takeaways

• Integers can be positive, negative, or zero.
• Right on the number line = greater
• Negative numbers with smaller absolute value are greater.
• Use <, >, = to compare.
• Use ascending/descending for ordering.

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