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Question 1
Is zero a rational number? Can you write it in the form p/q
, where
p and
q are integers and
q not equal to 0?
Solution:
Yes. Zero is a rational number as it can be represented as 0/1 or 0/2…
Question 2
Find six rational numbers between 3 and 4.
Solution
The six rational numbers
3.1 , 3.2, 3.3, 3.4, 3.5, 3.6
Question 3
Find five rational numbers between 3/5 and 4/5
Solution:
We need to find five rational numbers
So we multiply the denominator and numerator by (5+1) both the numbers
3/5= 18/30
4/5=24/30
So rational numbers will be in increasing order
19/30
20/30
21/30
22/30
23/30
Question 4
State whether the following statements are true or false. Give reasons for your answers.
(i) Every natural number is a whole number.
(ii) Every integer is a whole number.
(iii) Every rational number is a whole number
Solution:
(i) True; since the collection of whole numbers contains all natural numbers.
(ii) False; as integers may be negative but whole numbers are positive. For example: −3 is an integer but not a whole number.
(iii) False; as rational numbers may be fractional but whole numbers may not be
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