The table above shows four numeric expressions. Which expression is an integer when it's evaluated?
A) F
B) E
C) H
D) G
Answer (2)
Evaluate each expression to determine if the result is an integer.
Expression E: − 8 + 7 4 = − 7.42857... (not an integer).
Expression F: 7 − 0.5 = 6.5 (not an integer).
Expression G: 9 + ( − 3 ) = 6 (an integer).
Expression H: 3.8 − 6.7 = − 2.9 (not an integer).
The expression that evaluates to an integer is G .
Explanation
Problem Analysis We are given four expressions and need to determine which one evaluates to an integer. An integer is a whole number (not a fraction). We will evaluate each expression.
Evaluating Expression E Expression E: − 8 + 7 4 . This is equal to − 8 + 0.5714... = − 7.42857... which is not an integer.
Evaluating Expression F Expression F: 7 − 0.5 = 6.5 , which is not an integer.
Evaluating Expression G Expression G: 9 + ( − 3 ) = 9 − 3 = 6 , which is an integer.
Evaluating Expression H Expression H: 3.8 − 6.7 = − 2.9 , which is not an integer.
Final Answer Therefore, the expression that evaluates to an integer is G.
Examples
Understanding integers is crucial in many real-life situations, such as managing finances. For example, if you start with $9 and spend $3, the expression 9 + ( − 3 ) represents your remaining money, which is $6. This simple calculation demonstrates how integers are used to track income and expenses, ensuring accurate budgeting and financial planning.
The expression that evaluates to an integer is G, which results in the value 6. The other expressions E, F, and H do not yield integer results. Thus, the correct answer is G.
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