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Fill in the blanks : (i)The product of ...

Fill in the blanks :
(i)The product of two positive rational number is always ...
(ii)The product of a positive rational number and a negative rational number is always ...
(iii)The product of two negative rational numbers is always...
(iv)The reciprocal of a positive rational number is ...
(v)The reciprocal of a negative rational number is...
(vi)Zero has .. reciprocal .
(vii)The product of rational number and its reciprocal is ...
(viii)The numbers ... and .. are their own reciprocal
(ix)If `a` is reciprocal of `b`, then the reciprocal of `b` is ...
(x)The number `0` is... the reciprocal of any number.
(xi)Reciprocal of `1/a , a\ !=0\ i s ddot`...
(xii)`(17 xx 12)^(-1)=17^(-1)xx... `

Text Solution

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(i)The product of two positive rational number is always positive.
(ii)The product of a positive rational number and a negative rational number is always negative.
(iii)The product of two negative rational numbers is always positive.
(iv)The reciprocal of a positive rational number is positive.
(v)The reciprocal of a negative rational number is negative.
(vi)Zero has no reciprocal.
(vii)The product of rational number and its reciprocal is `1`.
(viii)The numbers `-1` and `1` are their own reciprocal.
(ix)If `a` is reciprocal of `b`, then the reciprocal of `b` is`a`
(x)The number `0` is not the reciprocal of any number.
(xi)Reciprocal of `1/a , a\ !=0\ `is `a`.
(xii) `(17 xx 12)^(-1)=17^(-1)xx 12^(-1) `
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RD SHARMA-RATIONAL NUMBERS-All Questions
  1. Name the property of multiplication of rational number illustrated b...

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  2. Name the property of multiplication of rational number illustrated b...

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  3. Fill in the blanks : (i)The product of two positive rational number i...

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  4. Fill in the blanks : (i)-4\ xx7/9=7/9xx... (ii) 5/(11)xx(-3)/8=(-3...

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  5. Divide : (i)3/5b y4/(25) (ii) (-8)/9b y4/3 (iii)(-16)/(21)b y(-4)/3 ...

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  6. The product of two rational numbers is (-28)/(81)dot If one of the num...

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  7. By what number should we multiply 3/(-14), so that the product may be ...

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  8. Divide : (i)1b y1/2 (ii) 5 b y(-5)/7 (iii) (-3)/4b y9/(-16)

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  9. Divide : (i)(-7)/8b y(-21)/(16) (ii) 7/(-4)b y(63)/(64) (iii) 0...

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  10. Divide : (i) (-3)/4b y-6 (ii) 2/3b y(-7)/(12) (iii)-4\ b y(-3)/...

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  11. Find the value and express as a rational number in standard form : ...

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  12. Find the value and express as a rational number in standard form : (...

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  13. The product of two rational number is 15. If one of the numbers is ...

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  14. The product of two rational number is (-8)/9dot\ If one of the number...

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  15. By what number should we multiply (-1)/6 so that the product may be (-...

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  16. By what number should we multiply (-15)/(28) so that the product may b...

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  17. By what number should we multiply (-8)/(13) so that the product may be...

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  18. By what number should (-3)/4\ b e\ multiplied in order to produce 2/3...

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  19. Find (x+y)+(x-y), if (i)x=2/3, y=3/2 (ii) x=2/5, y=1/2

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  20. Find (x+y)+(x-y), if x=5/4, y=(-1)/3 (ii) x=2/7, y=4/3 (iii) ...

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