Addition of one negative and one positive integer isa)always positiveb...
If the magnitude of positive number is greater than the negative number then there will be some positive remainder after adding the negative number.Hence,it will be the sign of a large number.
Addition of one negative and one positive integer isa)always positiveb...
Understanding Addition of Negative and Positive Integers
When we add one negative integer and one positive integer, the result depends on their absolute values and the signs involved. Here’s a detailed breakdown:
1. Definitions
- Positive Integer: A number greater than zero (e.g., 5, 10).
- Negative Integer: A number less than zero (e.g., -3, -8).
2. The Process of Addition
- Adding a positive integer means you are moving to the right on the number line.
- Adding a negative integer means you are moving to the left on the number line.
3. Comparing Absolute Values
- When a negative integer is added to a positive integer, the result can be found by comparing their absolute values.
- For example, if we have 4 (positive) and -3 (negative):
- The absolute value of 4 is 4.
- The absolute value of -3 is 3.
- Since 4 > 3, the result (4 + (-3)) will be positive and equal to 1.
4. Sign of the Result
- If the positive integer's absolute value is greater than that of the negative integer, the result is positive.
- If the negative integer's absolute value is greater, the result is negative.
- If both are equal, the result is zero.
5. Conclusion
- Thus, the correct answer is option 'C': the sign of the result is the same as the sign of the larger number (in absolute value). This means the final sum will reflect the dominance of either the positive or negative integer depending on their values.