Question

Between which two integers is 155? Which one is it closer to and why?

a) 150 and 160; Closer to 160 because it's 5 units away.
b) 140 and 150; Closer to 150 because it's 5 units away.
c) 155 and 165; Closer to 155 because it's in the middle.
d) 145 and 155; Closer to 145 because it's 10 units away.

Answer 1

155 is equidistant from both 150 and 160, sitting precisely in the middle and thus, is not closer to one over the other.

Step-by-step explanation:

The question is asking to identify between which two integers the number 155 sits, and to which integer it is closer. To determine this, we look at the tens digit of 155, which is 5, to understand that it falls between 150 and 160. Comparing the distance of 155 to these two integers, we can see that 155 is 5 units away from 160 and also 5 units away from 150. Therefore, the correct answer is neither closer nor farther from either bounding integer, meaning that while option a) 150 and 160 is correct for the integers it falls between, the reasoning that it is closer to 160 is incorrect. It is equidistant from both 150 and 160 because it is situated precisely in the middle of these two numbers.