Explain how to find the sum positive three plus negative eight using chips, a number line, or the rules for adding integers. Give the answer with your explanation.

loser

+3 + (-8) = -5

http://www.mathsisfun.com/positive-negative-integers.html

Sure! I can explain how to find the sum of positive three and negative eight using different methods.

1. Using Chips:
To represent positive and negative numbers using chips, you can use different colors of chips or physical objects. Let's assume red chips represent positive numbers, and blue chips represent negative numbers.

To find the sum of positive three and negative eight:
- Start with three red chips representing positive three.
- Then, take eight blue chips representing negative eight.
- Combine the chips together, and you will notice that you have more blue chips than red chips.
- Since blue chips represent negative numbers, you should have a negative answer.

The final result would be negative five. (-5)

2. Using a Number Line:
A number line is a great visual tool for adding and subtracting integers.

To find the sum of positive three and negative eight on a number line:
- Start at zero on the number line.
- Move three units to the right (+3) as the positive number indicates a forward movement.
- Then, move eight units to the left (-8) as the negative number implies a backward movement.
- You will notice that you have moved more units to the left side than the right side.
- The final position on the number line is at -5, indicating a negative answer.

The final result is -5.

3. Using the Rules for Adding Integers:
The rules for adding integers state that two numbers with the same sign are added and keep the sign, while two numbers with different signs are subtracted, and the sign of the larger number is kept.

To find the sum of positive three and negative eight using the rules:
- When adding the two numbers, remove the signs and add their absolute values.
- |3| + |-8| = 3 + 8
- The sum of 3 and 8 is 11.
- Determine the sign based on the original numbers. Since one number is positive and the other is negative, the answer should be negative.

The final result is -11.

Regardless of the method used, the sum of positive three and negative eight is -5 or -11, depending on whether you are taking absolute values or not.