Every number, x, which is greater than 1, is closer to 1 than x + 1. Every number, y, which is less than 1, is closer to 1 than y - 1. Together, these imply that all numbers, other than 1 itself, are closer to 1.
Infinity
It tells you which number is higher than the other or if its closer to its the location point than the other number. (might help : if it negative or positive that is closer.)
Integers: 6001. Real numbers: There is no such number. You can get closer and closer, yet there will always be a smaller number (6000.1, 6000.01, 6000.001, ... you can go on and on).
There is no such number. You can get as close as you like, and there will still be numbers that are even closer.
Any number smaller than 1/2, including negative numbers..
No, -4.5 is not bigger than -4.25. When comparing negative numbers, the number that is closer to zero is considered larger. In this case, -4.25 is closer to zero than -4.5, making it the larger number.
Because numbers on the number line are in ascending order and -2 is closer to 0 than is -10
You can round it to the nearest 10: Its closer to 90 than it is to 100, so 90 is the answer. Or you can round it to the nearest 100, its closer to 100 than 0, so 100 is the answer
0.24
An infinite amount, because 200 could be closer to any number than any other number, and therefore you round to 200. It all depends what other number you choose and what number you are starting at. Say you are rounding from 4000 and to either 200 or 2,534,592; you will round to 200 because it is closer, and following that logic, many other numbers round to 200. In fact, an infinite amount do.
Rounding is closer because the amount added to one number is the same as the amount subtracted from the other number which makes the answer match exactly.