Which of the following situations cannot be represented by the integer 10?
F a balloon rises 10 ft into the air
G the stock market gains 10 points
H the town lies 10 ft below sea level
I Jon received a gift of $10
which situation connot be represented by the integer -20
H. The town is -10.
To determine which of the situations cannot be represented by the integer 10, we need to understand what integers represent.
Integers are whole numbers that can be positive, negative, or zero. They are used to represent quantities and positions on a number line.
Let's examine each of the situations and see if they can be represented by the integer 10.
a) A balloon rises 10 ft into the air: This situation can be represented by the integer 10. We can consider the starting point as zero, and when the balloon rises, we move up the number line by 10 units.
b) The stock market gains 10 points: This situation can also be represented by the integer 10. The gain of 10 points can be considered as a positive move on the number line.
c) The town lies 10 ft below sea level: This situation can be represented by the integer -10. The negative sign represents a position below zero on the number line, indicating that the town lies below sea level.
d) Jon received a gift of $10: This situation can be represented by either the integer 10 or -10, depending on the context. If Jon received $10 as a positive amount, it can be represented by 10. However, if Jon received $10 as a debt or an expense, it can be represented by -10.
Therefore, the situation that cannot be represented by the integer 10 is c) the town lying 10 ft below sea level. It should be represented by the integer -10.