Question

2. Give one example each to the following statements. i A number which is rational but not an integer
ii. A whole number which is not a natural number
iii An integer which is not a whole number
iv. A number which is natural number, whole number, integer and rational number.
V. A number which is an integer but not a natural number.
3. Find five rational numbers between 1 and 2.
4. Find three rational numbers between and 3/5 and 2/3​

Answer 1

Answer:

1- A rational number that is not an integer is of the form p/q where p and q are integers and q is not equal to 0 or 1. For example, 5/2, 6/13 are rational numbers that are not integers. A rational number that is an integer is p, where p is an integer. For example, -5, -2 are rational numbers that are integers.

2- zero

3-negative integer

4-Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart

5-Fractions and decimals are not integers. All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.

6-Answer: Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.

7 -Therefore the five numbers between 3/5 and 2/3 are 91 / 150 , 92 / 150 ,93 / 150 , 94 / 150 and 97 / 150 .