Question

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1) To which set of numbers does the number belong? Choose all the sets to which it belongs. -5.2

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

2)To which set of numbers does the number belong? Choose all the sets to which it belongs. -4

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

3) To which set of numbers does the number belong? Choose all the sets to which it belongs. -4.3212........

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

4) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 4

a)Natural

b)Whole

C)integer

d)rational

e)irrational

f)real

5) To which set of numbers does the number belong? Choose all the sets to which it belongs. square root of 7

a)Natural

b)Whole

C)integer

d)rational

e)irational

f)real

Answer 1

Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f

Explanation:

a) Natural Numbers: 1, 2, 3, ...

b) Whole Numbers: 0, 1, 2, 3, ... (add zero to the Natural numbers)

c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

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e) Irrationals: Non-repeating decimals that are non-terminating. This is its own category so cannot be a Rational number or above.

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2 has a terminating decimal so it is a RATIONAL number.

2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4)
`\sqrt4` = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5)
`\sqrt7` is a non-terminating decimal so it is an IRRATIONAL number