Answer
Natural numbers: N/A
Integers: N/A
Rational numbers: $\frac{1}{2}$+10.3
Irrational numbers: $-\sqrt 2$, $\pi+\sqrt 2$
Real numbers: $\frac{1}{2}$+10.3, $-\sqrt 2$, $\pi+\sqrt 2$
Work Step by Step
Natural numbers: Are positive whole numbers that do NOT include zero. None of the numbers satisfy this criterion.
Integers: Are whole numbers. None of the numbers satisfy this criterion.
Rational numbers: Are numbers that can be made into a fraction of two integers. $\frac{1}{2}$+10.3 can form $\frac{5}{4}$, thus satisfying this criterion.
Irrational numbers: Are numbers that cannot be made into a fraction of two integers. $-\sqrt 2$ and $\pi+\sqrt 2$ satisfy this criterion.
Real numbers: Are all numbers that can exist on the number line. All of the numbers satisfy this criterion.
