Are the numbers opposite?
−∣−801∣,∣+801∣
To solve this problem, we will evaluate each expression involving absolute value separately and then determine if they are opposites.
- Step 1: Evaluate the absolute value of -801:
∣−801∣=801 because the absolute value is the positive value or magnitude of the number.
- Step 2: Evaluate the absolute value of +801:
∣+801∣=801 since the absolute value of a positive number is the number itself.
- Step 3: Negate the result of the first step:
−∣−801∣=−801.
- Step 4: Compare −801 and 801:
These numbers have the same magnitude (801) but opposite signs.
Therefore, the numbers −∣−801∣ and ∣+801∣ are indeed opposites.
The correct choice is Yes.