If a number is added to​ itself, the sum is greater than the original number.
-3 + (-3) = -6

The statement "If a number is added to itself, the sum is greater than the original number" is not universally true for all numbers. Let's analyze the situation:

- **For positive numbers:** If you add a positive number to itself, the sum will indeed be greater than the original number. For example, \( 5 + 5 = 10 \), and 10 is greater than 5.

- **For negative numbers:** When you add a negative number to itself, the sum is less than the original number. In your example, \(-3 + (-3) = -6\), and \(-6\) is less than \(-3\).

- **For zero:** If you add zero to itself, the sum is equal to the original number. For example, \( 0 + 0 = 0 \).

So, the statement is only true for positive numbers. For negative numbers, the sum is less than the original number, and for zero, the sum is equal to the original number.

Would you like more details or have any questions?

Here are 5 related questions:
1. What happens when a positive number is added to a negative number?
2. How does multiplication by 2 compare to adding a number to itself?
3. What is the sum of two opposite numbers?
4. How does adding a fraction to itself affect the sum?
5. What are the properties of numbers when dealing with absolute values?

**Tip:** Always consider the sign of a number when analyzing mathematical operations, as it can significantly change the outcome.

Explore the concept of adding numbers to themselves and how it applies to both positive and negative numbers. This problem demonstrates that adding a number to itself may result in a sum greater, lesser, or equal to the original number based on the sign of the number. Suitable for students in Grades 3-5.

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