Classify each number according to which sets of numbers it belongs in:

natural, integer, rational:

integer, rational:

rational:

irrational:

10, pi, -6, 3., 9, 3.7, 3(12-2/2), 1.41421356

Natural, integer, rational:  10, 9,

Integer, rational:  -6

Rational:  3.7, 3.3333333

Irrational: , 1.41421356

Step-by-step explanation:

Given numbers:

To classify them in natural integer, whole rational or irrational numbers.

Solution:

Natural numbers are whole numbers stating from 1.

{1,2,3,4,5,6..........}

Whole numbers are integers starting from 0.

{0,1,2,3,4,5...........}

Integers are all real numbers that do not include decimals or fractions.

{.............-4,-3,-2,-1,0,1,2,3,4.........}

Rational numbers are those numbers which can be represented as fraction of whole numbers. For example:

Irrational numbers are those numbers which cannot be represented as simple fractions.

Based on the above definitions, we can classify numbers.

1) 10

Natural, Integer, Rational

2)

Irrational

3) -6

Integer, Rational

4) 3.33333333333

Rational

5) 9

Natural, Integer, Rational

6) 3.7

Rational

7)

Natural, Integer, Rational

8) 1.41421356

Irrational