The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
| Expression Name | Expression |
|---|---|
| E | [tex]$3.8+0$[/tex] |
| F | [tex]$0+0.5$[/tex] |
| G | [tex]$-8+0$[/tex] |
| H | [tex]$9 \div 0$[/tex] |
A) G
B) F
C) H
D) E
Answer (1)
Evaluate each expression: E = 3.8, F = 0.5, G = -8, H = undefined.
Identify the integer result.
Expression G results in an integer: -8.
The answer is G.
Explanation
Problem Analysis We are given four expressions and asked to identify which one results in an integer. An integer is a whole number (positive, negative, or zero). Let's evaluate each expression.
Evaluating Expression E Expression E: 3.8 + 0 = 3.8 . This is not an integer because it has a decimal part.
Evaluating Expression F Expression F: 0 + 0.5 = 0.5 . This is not an integer because it has a decimal part.
Evaluating Expression G Expression G: − 8 + 0 = − 8 . This is an integer.
Evaluating Expression H Expression H: 9 ÷ 0 is undefined. Division by zero is not allowed in mathematics. While not an integer, it's also not a real number.
Final Answer Therefore, the only expression that results in an integer is G, which evaluates to -8.
Examples
Understanding integers is crucial in many real-life scenarios. For instance, when managing inventory, you can only have a whole number of items. If a store has -8 items of a product (representing a debt or return), this is an integer value. Similarly, when counting the number of floors in a building or tracking scores in a game, integers are used because you can't have a fraction of a floor or a fraction of a point.
