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Step-by-step explanation:
1.
When we orient a map, we usually put North at the top, corresponding to the +y direction on the Cartesian coordinate plane. Then South corresponds to the -y direction. 25 km south in that scenario would be represented by ...
y = -25
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2.
We usually define positive directions as up and to the right. "Below sea level", "floors down", and "down hill" would typically be represented by negative numbers if we have defined "up" to be positive. Then an elevation of some amount (in the up direction) would be represented by a positive integer:
8 m elevation
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3.
As we said above, "forward" would typically be represented by a positive integer, +10. The opposite of that, 10 steps back, would be represented by the opposite integer:
-10
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4.
The set of integers is the set of whole numbers and their opposites:
negative numbers, zero, positive numbers
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5.
As we discussed above, positive integers are used to represent amounts in an up, right, forward, North, East direction. Negative integers (the opposites of positive integers) are used to represent amounts in the opposite directions. Integers are whole numbers, so do not include fractions or decimal fractions. They are not restricted to positive values.
integers are used to describe opposites
Additional comment
Numbers with minus signs are used to describe opposites of numbers with positive signs, and vice versa. Opposites may have fractional parts, so describing them is not restricted to integers. The point in question 5 is that Natural numbers (positive whole numbers) and Whole numbers (Natural numbers and zero) don't work very well to describe opposites. Integers can have a sign to indicate opposite directions, whereas positive numbers cannot.
