1. 8 - 79 2. -19 + (-17) 3. 39 + (-6) 4. -543 + 217 5. 14 + (-42) 6. 11 - 46 7. Evaluate if a = -312 and b = 405: -a + -b 8. Evaluate if x = 7 and y = -31: -x - y 9. |47 + (-58)| -... 1. 8 - 79 2. -19 + (-17) 3. 39 + (-6) 4. -543 + 217 5. 14 + (-42) 6. 11 - 46 7. Evaluate if a = -312 and b = 405: -a + -b 8. Evaluate if x = 7 and y = -31: -x - y 9. |47 + (-58)| - 71 10. -|17 - (-62)|
Understand the Problem
The question consists of a series of arithmetic problems that need to be solved. They involve simple addition, subtraction, and evaluation of expressions based on given values for variables. The overall goal is to perform calculations step by step for each item provided.
Answer
1. -71 2. -36 3. 33 4. -326 5. -28 6. -35 7. -93 8. 24 9. -60 10. -79
Answer for screen readers
- -71
- -36
- 33
- -326
- -28
- -35
- -93
- 24
- -60
- -79
Steps to Solve
- Calculate (8 - 79)
Subtract 79 from 8:
$$ 8 - 79 = -71 $$
- Calculate (-19 + (-17))
Add -19 and -17:
$$ -19 + (-17) = -36 $$
- Calculate (39 + (-6))
Add 39 and -6:
$$ 39 + (-6) = 33 $$
- Calculate (-543 + 217)
Add -543 and 217:
$$ -543 + 217 = -326 $$
- Calculate (14 + (-42))
Add 14 and -42:
$$ 14 + (-42) = -28 $$
- Calculate (11 - 46)
Subtract 46 from 11:
$$ 11 - 46 = -35 $$
- Evaluate (-a + -b) given (a = -312) and (b = 405)
Firstly, calculate (-(-312)) and (-405):
$$ -(-312) + -405 = 312 - 405 = -93 $$
- Evaluate (-x - y) given (x = 7) and (y = -31)
Substituting the values and calculating:
$$ -7 - (-31) = -7 + 31 = 24 $$
- Calculate (|47 + (-58)| - 71
Calculate (47 + (-58)) first:
$$ 47 + (-58) = -11 $$
Then take the absolute value and subtract 71:
$$ |-11| - 71 = 11 - 71 = -60 $$
- Evaluate (-|17 - (-62)|
Calculate (17 - (-62)):
$$ 17 + 62 = 79 $$
Now take the negative of the absolute value:
$$ -|79| = -79 $$
- -71
- -36
- 33
- -326
- -28
- -35
- -93
- 24
- -60
- -79
More Information
These results showcase basic arithmetic operations involving negative numbers and absolute values, highlighting how negative values affect addition and subtraction.
Tips
- Confusing addition of negatives with subtraction; remember that adding a negative number is the same as subtracting the positive.
- Miscalculating absolute values by not considering the sign; always take the positive value when using absolute value.
