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Number Systems

Short Answer Type

1. Is zero a rational number? Can you write it in the form

straight p over straight q comma

where p and q are integers and q ≠ 0?

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2. Find six rational numbers between 3 and 4.

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3. Find five rational numbers between

3 over 5 space and space space 4 over 5.

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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.

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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 $2 over 5 space and space space 7 over 8$

3 over 5 equals 24 over 40 7 over 8 equals 35 over 40

Hence, three rational numbers can be taken as

space space space space space space space space space space space space space space 25 over 40 comma space 26 over 40 comma space 27 over 40 or comma space space space space space space space space space space space space 5 over 8 comma space 13 over 20 comma space 27 over 40

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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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