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Two integers A and B are graphed on a number line. If A is less than B is A always less than B?

Q: Two integers A and B are graphed on a number line. If A is less than B is A always less than B?

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

There are 44 positive integers less than 2,010 that have an odd number of factors.

It is a whole number that is 1000 less than zero.

There is no such number.

The set of positive integers less than 50 is finite (there are 49).The set of all integers less than 50 is infinite, because it includes an infinite number of negative numbers.

There are infinitely many of them: all integers which are less than 24.

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-- When the number itself is bigger than ' 1 ' . . . yes. Always.-- When the number itself is less than ' 1 ' . . . . no. Never.-- When the number itself is ' 1 ', its square is also ' 1 ', so they're equal.

533

A positive number will always be greater than a negative number. If two integers have the same sign, and this sign is negative, then the lower number in absolute value will be the highest. If two integers have positive signs, the larger number will be the highest. If one of the numbers is zero and the other number is negative, then zero will always be the higher number. If one of the numbers is zero, and the other number is positive, the positive number wil always be highest. And just a reminder, for any number n, the absolute value of n, often written |n| , we have |n|=n if n is greater than or equal to zero and |n|= negative n if n is less than zero. For example, |3|=3 |-3|= -(-3)=3

There are 1,963 such integers. Every factor of a number has a pair. The only time there will be an odd number of factors is if one factor is repeated, ie the number is a perfect square. So the question is really asking: how many positive integers less than 2008 (in the range 1 to 2007) are not perfect squares. √2007 = 44 and a bit (it lies between 44 and 45) So there are 44 integers less than (or equal to) 2007 which are perfect squares → 2007 - 44 = 1963 integers are not perfect squares in the range 1-2007 and have an even number of factors (divisors).