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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.

(i) True, since the collection of whole numbers contains all natural numbers.
(ii) False, for example, - 2 is an integer but not a whole number.

(iii) False, for example, $1 half$ is a rational number but not a whole number.

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Find four rational numbers be-tween $3 over 7 space a n d space 5 over 7$

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6. Find four rational numbers be-tween

1 third space a n d space 4 over 5.

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7. Find three rational numbers between 0 and 0.1. Also, find twenty rational numbers between 0 and 0.1.

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Insert three rational numbers between $negative 2 over 5 space and space minus 1 fifth$

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9. Find three rational numbers

2 over 5 space and space space 7 over 8

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10.

Are the following statements true or false? Give reasons for your answers.
(i) Every whole number is a natural number.
(ii) Every integer is a rational number.
(iii) Every rational number is an integer.

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