The image you provided outlines the rules for adding and subtracting integers. Let's break down the rules and explain them step by step.
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1. Addition Rules
The addition rules are summarized as follows:
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Same Sign? Keep them
- If both numbers have the same sign (both positive or both negative), add their absolute values and keep the common sign.
- Example:
- \( (+2) + (+3) = +5 \)
- \( (-2) + (-3) = -5 \)
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Different Sign? Keep the Larger Sign
- If the numbers have different signs, subtract the smaller absolute value from the larger absolute value, and the result takes the sign of the number with the larger absolute value.
- Example:
- \( (+2) + (-3) = -1 \) (since \( |3| > |2| \), the result is negative)
- \( (-2) + (+3) = +1 \) (since \( |3| > |2| \), the result is positive)
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2. Subtraction Rules
The subtraction rules are summarized as follows:
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Keep, Change, Change
- When subtracting integers, follow these steps:
1.
Keep the first number as it is.
2.
Change the subtraction operation to addition.
3.
Change the sign of the second number.
- After applying these steps, proceed with the addition rules.
#### Examples:
1. \( (-2) - (-3) \):
- Keep: \( -2 \)
- Change subtraction to addition: \( -2 + \)
- Change the sign of the second number: \( -2 + (+3) \)
- Now apply addition rules: \( -2 + (+3) = +1 \)
2. \( (-2) - (+3) \):
- Keep: \( -2 \)
- Change subtraction to addition: \( -2 + \)
- Change the sign of the second number: \( -2 + (-3) \)
- Now apply addition rules: \( -2 + (-3) = -5 \)
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Summary of Examples
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Addition Examples:
- \( (-2) + (-3) = -5 \)
- \( (-2) + (+3) = +1 \)
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Subtraction Examples:
- \( (-2) - (-3) = +1 \)
- \( (-2) - (+3) = -5 \)
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Final Answer
The rules for adding and subtracting integers are clearly explained above. The examples demonstrate how to apply these rules effectively.
\[
\boxed{\text{See explanation above for detailed rules and examples.}}
\]
Parent Tip: Review the logic above to help your child master the concept of rules for adding and subtracting integers.
