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Answer :
- Rewrite the subtraction as an addition: $(-65) - (-29) = (-65) + 29$.
- Calculate the sum of -65 and 29.
- Subtract the smaller absolute value from the larger absolute value: $65 - 29 = 36$.
- Keep the sign of the number with the larger absolute value: The result is $\boxed{{-36}}$.
### Explanation
1. Understanding the Problem
We are asked to subtract -29 from -65. This can be written as the expression $(-65) - (-29)$.
2. Rewriting the Expression
Subtracting a negative number is the same as adding its positive counterpart. Therefore, we can rewrite the expression as $(-65) + 29$.
3. Calculating the Sum
Now we need to calculate the sum of -65 and 29. Since the numbers have different signs, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value. In this case, $|-65| = 65$ and $|29| = 29$. So, we subtract 29 from 65: $65 - 29 = 36$. Since -65 has a larger absolute value and is negative, the result will be negative. Therefore, $(-65) + 29 = -36$.
4. Final Answer
The result of the subtraction $(-65) - (-29)$ is $-36$.
### Examples
Understanding subtraction of negative numbers is crucial in various real-life scenarios, such as calculating changes in temperature, managing debts and credits, or determining altitude differences. For instance, if the temperature drops from -29 degrees to -65 degrees, the temperature change is -36 degrees. Similarly, if you owe 65 dollars and then pay back 29 dollars, your remaining debt is -36 dollars.
- Calculate the sum of -65 and 29.
- Subtract the smaller absolute value from the larger absolute value: $65 - 29 = 36$.
- Keep the sign of the number with the larger absolute value: The result is $\boxed{{-36}}$.
### Explanation
1. Understanding the Problem
We are asked to subtract -29 from -65. This can be written as the expression $(-65) - (-29)$.
2. Rewriting the Expression
Subtracting a negative number is the same as adding its positive counterpart. Therefore, we can rewrite the expression as $(-65) + 29$.
3. Calculating the Sum
Now we need to calculate the sum of -65 and 29. Since the numbers have different signs, we subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value. In this case, $|-65| = 65$ and $|29| = 29$. So, we subtract 29 from 65: $65 - 29 = 36$. Since -65 has a larger absolute value and is negative, the result will be negative. Therefore, $(-65) + 29 = -36$.
4. Final Answer
The result of the subtraction $(-65) - (-29)$ is $-36$.
### Examples
Understanding subtraction of negative numbers is crucial in various real-life scenarios, such as calculating changes in temperature, managing debts and credits, or determining altitude differences. For instance, if the temperature drops from -29 degrees to -65 degrees, the temperature change is -36 degrees. Similarly, if you owe 65 dollars and then pay back 29 dollars, your remaining debt is -36 dollars.
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