Question

Which of the following arithmetic expressions evaluates to 1 ?

I. 2 / 5 % 3
II. 2 / (5 % 3)
III. 2 / 5 + 1
A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III

Answer 1

Upon evaluating each expression individually, only the second expression, 2 / (5 % 3), evaluates to 1, so the correct answer to the student's question is option B: II only.

Step-by-step explanation:

The student is asking which arithmetic expressions evaluate to 1. Let's examine each expression individually:

1. 2 / 5 % 3: Here, we first perform the division 2/5, which gives us 0.4. Then we take 0.4 modulo 3, which essentially leaves us with 0.4, as 0.4 is less than 3 and thus the remainder when 0.4 is divided by 3.
2. 2 / (5 % 3): For this expression, we first calculate 5 % 3, which is 2, because 5 divided by 3 leaves a remainder of 2. Then we divide 2 by that remainder, 2 / 2, which gives us 1.
3. 2 / 5 + 1: This is simply 0.4 (from 2/5) plus 1, which gives us 1.4 > 1.

A. Only the second expression, 2 / (5 % 3), evaluates to 1. Therefore, the correct answer is B: II only.The arithmetic expression that evaluates to 1 is II. 2 / (5 % 3).

To evaluate this expression, we need to follow the order of operations. First, we need to evaluate the expression inside the parentheses. (5 % 3) gives us the remainder when 5 is divided by 3, which is 2. So, the expression becomes 2 / 2. Now, we can divide 2 by 2, which gives us the final result of 1.