Answer:
1
-10
4
Explanation:
Opposite numbers have opposite signs.
Opposite Numbers
Opposite numbers have the same magnitude but different signs. Magnitude is the size of a number. For example, -7 and 7 have the same magnitude because their size is the same, but one is positive and the other is negative.
The 2 signs a number can have is positive (+) or negative (-). If numbers have opposite signs, it means one is positive while the other is negative. So, In simple terms, to find the opposite of a number, simply change the sign. Positive numbers become negative and vice versa.
Algebraically Finding Opposites
While the method above works, it is informal and doesn't explain the math behind opposite numbers. Technically, to find the opposite of a number, you should multiply by -1. Multiplying by -1 has the same effect as changing the sign of a number, but it doesn't change the magnitude. Now we can use this method to find the opposites of the numbers given.
- -1 * -1 = +1
- 10 * -1 = -10
- -4 * -1 = +4
Both the informal and algebraic methods yield the same result. Note that I have added + signs to illustrate my point, but + is usually not written in front of positive numbers.