Answer :
To determine which statements are true for the integers 143 and -143, let's analyze each statement step by step:
1. The absolute value of -143 is greater than the absolute value of 143.
- The absolute value of 143 (|143|) is 143.
- The absolute value of -143 (|-143|) is also 143.
- Since both absolute values are equal, this statement is false.
2. Their sum is positive.
- The sum of 143 and -143 is calculated as follows:
[tex]\[
143 + (-143) = 0
\][/tex]
- Since the sum is 0, which is not positive, this statement is false.
3. They are opposite integers.
- Two integers are considered opposite if they have the same magnitude but opposite signs.
- 143 and -143 have the same magnitude (143) but different signs.
- Therefore, they are opposite integers, making this statement true.
4. Their sum is negative.
- As previously calculated, the sum of 143 and -143 is 0.
- Since 0 is not negative, this statement is false.
Thus, the accurate assessment is:
They are opposite integers.
1. The absolute value of -143 is greater than the absolute value of 143.
- The absolute value of 143 (|143|) is 143.
- The absolute value of -143 (|-143|) is also 143.
- Since both absolute values are equal, this statement is false.
2. Their sum is positive.
- The sum of 143 and -143 is calculated as follows:
[tex]\[
143 + (-143) = 0
\][/tex]
- Since the sum is 0, which is not positive, this statement is false.
3. They are opposite integers.
- Two integers are considered opposite if they have the same magnitude but opposite signs.
- 143 and -143 have the same magnitude (143) but different signs.
- Therefore, they are opposite integers, making this statement true.
4. Their sum is negative.
- As previously calculated, the sum of 143 and -143 is 0.
- Since 0 is not negative, this statement is false.
Thus, the accurate assessment is:
They are opposite integers.
