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Q: If you put several integers in order least to greatest and greatest to least how is it that the same number is always third in order?

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This will work as long as "five" is an acceptable substitute for "several".

Smaller numbers always go to the left of larger number on the number line.

Yes, the difference between two integers is always a whole number.

Greatest common factor is defined for integers, not for just any number.

Sample Response: Order by value: On a number line, the integers to the left are less than the integers to the right. Order by magnitude: On a number line, the integers farther from zero have a greater magnitude. Least to greatest value: –10, –3, +1. Least to greatest magnitude: +1, –3, –10.

the greatest number that is an integer and rational number but is not a natural or whole number is -1

The sum of two consecutive integers will always be an odd number.

Yes. Rational numbers are always the quotient of two integers. Integers are always real, and you cannot divide a real number by another real number and get an imaginary number. So, true.

There is really no such thing as a "greatest common multiple". Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.

Integers of 6 digits are normally greater than integers of 5 digits

For integers to the nearest ten thousand, 25000 to 34999

The greatest common multiple of any set of integers is infinite.

A rational number is a number than can be written p/q with p and q integers Any integers can be written this was with q=1

Probably because that's more or less the definition of "rational number": a number that can be expressed as a ratio of integers.

Ted used five integers. EXAMPLE: 1 2 3 4 5 5 4 3 2 1

If you place the numbers on the number line, they go from the least to the greatest as you go from left to right.

Yes, integers are always rational.

I would think that the commonality of adding and subtracting integers is that the answer itself will always be an integer. In other words, the answer is always gonna be a "whole number".

The greatest multiple of any set of integers is an infinite number and not very practical for everyday use.

As integers they are: 29,999 and 29,500 respectively

Integers to the nearest hundred, 749.

It is an incomplete definition of a rational number.

The least common factor of a set of numbers is always 1. There are several ways of characterising the number 1. In the context of factors, it is the multiplicative identity for numbers - and that includes the set of integers. That is to say 1*n = n for all integers n.

For integers to the nearest thousand: 44500 to 45499.

That's the greatest common factor, or GCF.