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Name the multiplication property of rati...

Name the multiplication property of rational numbers shown below :
(i) `(3)/(5)xx(-8)/(9)=(-8)/(9)xx(3)/(5)`

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The correct Answer is:
To solve the question, we need to identify the multiplication property of rational numbers demonstrated by the equation: \[ \frac{3}{5} \times \left(-\frac{8}{9}\right) = \left(-\frac{8}{9}\right) \times \frac{3}{5} \] ### Step-by-Step Solution: 1. **Identify the Terms**: - Let \( A = \frac{3}{5} \) - Let \( B = -\frac{8}{9} \) 2. **Rewrite the Equation**: - The equation can be rewritten as: \[ A \times B = B \times A \] 3. **Recognize the Property**: - The equation \( A \times B = B \times A \) demonstrates that the order of multiplication does not affect the product. 4. **Name the Property**: - This property is known as the **Commutative Property of Multiplication**. ### Final Answer: The multiplication property of rational numbers shown in the equation is the **Commutative Property of Multiplication**.
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ICSE-RATIONAL NUMBERS-Exercise 1(C )
  1. Write the reciprocal (multiplicative inverse) of each rational number,...

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  2. Write the reciprocal (multiplicative inverse) of each rational number,...

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  3. Find the reciprocal (multiplicative inverse) of : (i) (3)/(5)xx(2)/(...

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  4. Find the reciprocal (multiplicative inverse) of : (ii) (-8)/(3)xx(13...

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  5. Find the reciprocal (multiplicative inverse) of : (iii) (-3)/(5)xx(-...

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  6. Verify that (x+y)xxz=x xxz+yxxz, if (i) x=(4)/(5), y=(-2)/(3) "and" ...

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  7. Verify that x xx(y-z)=x xxy-x xxz, if (i) x=(4)/(5), y=-(7)/(4) "and...

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  8. Name the multiplication property of rational numbers shown below : (...

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  9. Name the multiplication property of rational numbers shown below : (...

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  10. Name the multiplication property of rational numbers shown below : (...

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  11. Name the multiplication property of rational numbers shown below : (...

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  12. Name the multiplication property of rational numbers shown below : (...

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

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  14. Fill in the blanks : (ii) The product of two negative rational numbe...

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  15. Fill in the blanks : (iii) If two rational numbers have opposite sig...

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  16. Fill in the blanks : (iv) The reciprocal of a positive rational numb...

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  17. Fill in the blanks : (v) Rational number 0 has………………reciprocal.

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  18. Fill in the blanks : (vi) The product of a rational number and its r...

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  19. Fill in the blanks : (vii) The numbers……………..and………………are their own ...

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  20. Fill in the blanks : (viii) If m reciprocal of n, then the reciproca...

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