Question
QUESTION I
1.1 Given
; which of those numbers are:
1.1.1 Rational numbers
(2)
1.1.2 Integers
(2)
1.1.3 Whole numbers
(2)
1.1.4 Natural numbers
(2)
1.1.5 Irrational numbers
(2)
1.2 Determine between which whole numbers is
[13]
1.1 Given
1.1.1 Rational numbers
(2)
1.1.2 Integers
(2)
1.1.3 Whole numbers
(2)
1.1.4 Natural numbers
(2)
1.1.5 Irrational numbers
(2)
1.2 Determine between which whole numbers is
[13]
Ask by Nguyen Reid. in South Africa
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
1.1.1 Rational Numbers:
1.1.2 Integers:
1.1.3 Whole Numbers:
1.1.4 Natural Numbers:
1.1.5 Irrational Numbers:
1.2
lies between
and
.
Solution

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The Deep Dive
To tackle these questions, let’s first identify the characteristics of each of the provided numbers.
1.1.1 Rational numbers: The rational numbers from the set are
,
,
,
(which is 2),
, and
(since
itself is not rational, but
is considered in this context as a representation, meaning these are expressible as a fraction).
1.1.2 Integers: The integers among these numbers are
(not an integer),
,
(which is 2), and
. So, those are
,
, and
.
1.1.3 Whole numbers: Whole numbers include non-negative integers, so the whole numbers are
,
, and
.
1.1.4 Natural numbers: Natural numbers are positive integers, meaning just
and
are classified here.
1.1.5 Irrational numbers: The only number from this list classified as irrational is
.
Now, for the last question:
1.2 To determine the whole numbers between which
lies, we can calculate that
. Since
is approximately
, therefore,
is roughly
. Thus,
lies between the whole numbers
and
.