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Why does the equation 28 + (-32) result in -4?
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28 and -32 have different signs. Subtract the smaller absolute value from the larger (32 - 28 = 4), and keep the sign of the larger absolute value, which is negative.
Why does the operation -9 - (-13) yield a result of 4?
Using 'Keep Change Change,' it transforms into -9 + 13; subtracting absolute values gives 4 since 13 is larger and positive.
Solve and explain the integer operation: -3 + -8.
Both integers are negative, so add the absolute values (3 + 8 = 11) and keep the negative sign, resulting in -11.
How does one add integers with different signs?
Subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.
How do you apply the concept of absolute value when subtracting integers?
After changing subtraction to addition and changing the sign of the subtracted integer, use absolute values to determine which is larger to adjust the sign of the result.
What is the outcome of adding -23 and 85, and why?
-23 + 85 results in 62 because the absolute value of 85 is larger and positive, and subtracting absolute values gives 62.
What is the significance of absolute value in adding integers?
Absolute value is always positive and represents the number's distance from zero; it's used to determine which number has a larger magnitude when adding integers with different signs.
Describe the process of subtracting integers using the 'Keep Change Change' rule.
Keep the first number's sign, change the subtraction to addition, and change the sign of the second number.
What happens when subtracting two negative integers, such as -23 - 37?
-23 - 37 becomes -23 + (-37). Add their absolute values (23 + 37 = 60) and keep the negative sign, resulting in -60.
Explain the result of subtracting 5 from -18 using integer subtraction rules.
Using 'Keep Change Change,' -18 - 5 becomes -18 + (-5). Both are negative, so add the absolute values (18 + 5 = 23) and keep the negative sign, resulting in -23.
Explain how to add two integers with the same sign.
To add integers with the same sign, add their absolute values and keep the common sign.
What are integers?
Integers include positive and negative whole numbers, such as -3, -2, -1, 0, 1, 2, 3, etc.
Determine the result of adding 18 to 89 and explain the rationale.
The result is 107 since both integers are positive. You add their values directly.
Compute the sum of -26 and -18 and explain the steps.
The sum is -44. Both numbers are negative, so add their absolute values (26 + 18 = 44) and keep the negative sign.
How does the rule of 'Keep Change Change' affect subtraction of positive numbers like 7 - 5?
Change to 7 + (-5). Since they have different signs, subtract the absolute values (7 - 5 = 2), and 7 is larger and positive, resulting in 2.
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