The number 1.68 belongs to the subsets of real numbers known as rational numbers and decimal numbers. As a rational number, 1.68 can be expressed as the ratio of two integers (84/50). It is also a decimal number, specifically a terminating decimal, where the digits after the decimal point eventually end.
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Well, honey, 1.68 belongs to the subsets of real numbers known as rational numbers and decimal numbers. It's not some fancy schmancy imaginary number, just a plain ol' real number hanging out with its buddies. So, rest assured, 1.68 is keeping it real in the number world.
Rational numbers, whole numbers, negative numbers, even numbers, integers
Only a set can have subsets, a number such as -2.38 cannot have subsets.
There are infinitely many subsets of real numbers. For example, {2, sqrt(27), -9.37} is one subset.
The rational numbers are a subset of the real numbers. You might recall that rational numbers are those that can be expressed as the ratio of two whole numbers (no matter how large they are). Irrational numbers, like pi, cannot. But both sets (the rational and irrational numbers) are subsets of the real numbers. In fact, when we look at all the numbers, we are looking at the complex number system. We break that down into the real and the imaginary numbers. And the real numbers have the rational and irrational numbers as subsets. It's just that simple.
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.