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AVprozaik [17]
3 years ago
10

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

Mathematics
1 answer:
True [87]3 years ago
3 0

Answer:

Natural, integer, rational:  10, 9, 3(12-\frac{2}{2})

Integer, rational:  -6

Rational:  3.7, 3.3333333

Irrational: \pi, 1.41421356

Step-by-step explanation:

Given numbers:

10,\pi, -6, 3.3333333333, 9, 3.7, 3(12-2/2),1.41421356

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:

-1.5=-\frac{3}{2}

0.1111.....=\frac{1}{9}

5=\frac{5}{1}

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

<em>Based on the above definitions, we can classify numbers.</em>

1) 10

Natural, Integer, Rational

2) \pi

Irrational

3) -6

Integer, Rational

4) 3.33333333333

Rational

5) 9

Natural, Integer, Rational

6) 3.7

Rational

7) 3(12-\frac{2}{2})=3(12-1)=3(11)=33

Natural, Integer, Rational

8) 1.41421356

Irrational

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