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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.

1740 Views

3. Find five rational numbers between

3 over 5 space and space space 4 over 5.

2020 Views

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 $3 over 7 space a n d space 5 over 7$

1200 Views

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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8.
Insert three rational numbers between $negative 2 over 5 space and space minus 1 fifth$

fraction numerator open parentheses negative begin display style 2 over 5 end style close parentheses plus open parentheses negative begin display style 1 fifth end style close parentheses over denominator 2 end fraction equals negative 3 over 10 fraction numerator open parentheses negative begin display style 2 over 5 end style close parentheses plus open parentheses negative begin display style 3 over 10 end style close parentheses over denominator 2 end fraction equals fraction numerator open parentheses negative begin display style 7 over 10 end style close parentheses over denominator 2 end fraction equals negative 7 over 20 fraction numerator open parentheses negative begin display style 3 over 10 end style close parentheses plus open parentheses negative begin display style 1 fifth end style close parentheses over denominator 2 end fraction equals fraction numerator open parentheses negative begin display style 3 over 10 end style close parentheses plus open parentheses negative begin display style 2 over 10 end style close parentheses over denominator 2 end fraction equals space fraction numerator open parentheses negative begin display style 5 over 10 end style close parentheses over denominator 2 end fraction equals negative 5 over 20 equals negative 1 fourth

Thus, three rational numbers which can be inserted between

negative 2 over 5 space and space minus 1 fifth space are space minus 7 over 20 comma space minus 3 over 10 space and space minus 1 fourth.

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9. Find three rational numbers

2 over 5 space and space space 7 over 8

306 Views

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.

905 Views

Previous Year Papers

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Test Yourself

Short Answer Type

8. Insert three rational numbers between

8.
Insert three rational numbers between $negative 2 over 5 space and space minus 1 fifth$