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Q: What do you notice about the quotient of two rational numbers with different signs?

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Fractions and ratios are practically the same thing. Fractions are rational numbers (notice the word "ratio" at the beginning of "rational"). They are sometimes used in slightly different contexts, but both express parts of a whole.

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Every fraction is a rational number, but not every rational number is a fraction.A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).*A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.Both 22/7 and 1/3 are fractions, therefore they are both rational numbers. They also are repeating decimals, as 22/7 = 3.142857142857142857... (notice that the 142857 repeats) and as 1/3 = .333...An irrational number, on the other hand, neither terminates nor repeats.(The confusion about 22/7 may come because that fraction is often used to represent the number pi. It is not the number pi, just an approximation. The number pi is a decimal that begins 3.1415... and continues on without terminating or repeating. )But even though every fraction is a rational number, not every rational number is a fraction. Basically because rational numbers do not have to express a part of a whole. It can express a whole, as in an integer. And an integer is not a fraction.

What do you notice aboutthe numbers of fractors of square numbers

I notice that the sum of two odd numbers is an even number.

Rational numbers are numbers that can be expressed as a fraction of two integers. For example, 2/3, 8/27, and 4/1 are all rational numbers. In decimal form, those three numbers would be written as .66666666666... (I'm using the "..." to represent the fact that those 6's after the decimal point continue on forever), .296296296296296..., and 4, respectively. Notice how those three numbers, when written in decimal form, either repeat some pattern after their decimal point, or end. This is, in fact, the case for every rational number; they either terminate, or they have an infinite amount of some repeating number or group of numbers after their decimal point.Irrational numbers differ from rational numbers in that none of the above apply; i.e., they can't be expressed as a fraction of two integers, they don't repeat indefinitely, and they don't end. A couple of famous examples of irrational numbers are pi and the square root of two.

You may notice that card from a certain institution all have the same first four number. how many different credit card numbers can this institution create.

the numbers are odd

there even and they are mostly composite numbers

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They only have 2 factors.

Perhaps the fact that they are prime numbers!

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