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Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.
The square root of 105, -4, 4/3

Sagot :

TaylorBayley
[tex] \sqrt{105} [/tex] has no fraction that can represent it, therefore is an irrational number.

-4 is not a decimal, but is negative. It is an integer.

4/3 is a fraction, so it is a rational number.

Answer:

√105 is belongs to irrational number.

-4 is belongs to integers as well as rational number.

4/3 is belongs to rational number.

Step-by-step explanation:

Consider the provided numbers.

Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2, …

Rational number: A number   is said to be rational, if it is in the form   of p/q. Where p and q are integer and   denominator is not equal to 0.The decimal expansion of rational numbers may terminate or become periodic.

Irrational   number: A   number is irrational if it cannot   be   expressed by dividing two     integers. The decimal expansion of     Irrational numbers are neither terminate nor     periodic.

Consider the number √105 = 10.2469...

Since, the decimal expansion is neither terminate nor     periodic so √105 is an irrational number.

Consider the number -4.

The number -4 is an integers also it can be written in the form of p/q.

Thus, the number -4 is natural number and rational number.

Consider the number 4/3 = 1.333..

Here the decimal expansion is periodic thus the number 4/3 is rational number.

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