(i) x = \( \frac{11}{15}\)
The additive inverse of x = \( \frac{11}{15}\) is -x = -\( \frac{11}{15}\) as \( \frac{11}{15}\) + (-\( \frac{11}{15}\)) = 0
This equality \( \frac{11}{15}\) + (-\( \frac{11}{15}\)) = 0 represents that the additive inverse of -\( \frac{11}{15}\) is \( \frac{11}{15}\) or it can be said that (-\( \frac{11}{15}\)) = \( \frac{11}{15}\) i.e ., -(-x) = x
(ii) x = -\(\frac{13}{17}\)
The additive inverse of x = -\(\frac{13}{17}\) is -x = \(\frac{13}{17}\) as -\(\frac{13}{17}\) + \(\frac{13}{17}\) = 0
This equality -\(\frac{13}{17}\) +\(\frac{13}{17}\) = 0 represents that the additive inverse of \(\frac{13}{17}\) is \(\frac{13}{17}\) i.e, -(-x) = x
2 years agoBy what number should 1365 be divided to get 31 as quotient and 32 as remainder?
Which of the following statement is true / false?
(i) \(\dfrac{ 2 }{ 3} – \dfrac{4 }{ 5}\) is not a rational number.
(ii) \( \dfrac{ -5 }{ 7}\) is the additive inverse of \( \dfrac{ 5 }{ 7}\)
(iii) 0 is the additive inverse of its own.
(iv) Commutative property holds for subtraction of rational numbers.
(v) Associative property does not hold for subtraction of rational numbers.
(vi) 0 is the identity element for subtraction of rational numbers.
If x = \( \dfrac{4 }{ 9}\), y =\( \dfrac{-7 }{ 12}\) and z = \( \dfrac{-2 }{ 3}\), then verify that x – (y – z) ≠ (x – y) – z
If x = \(\dfrac{ – 4 }{ 7}\) and y = \( \dfrac{2 }{ 5}\), then verify that x – y ≠ y – x
Subtract the sum of \(\dfrac{ – 5 }{ 7} and\dfrac{ – 8 }{ 3}\) from the sum of \(\dfrac{5 }{ 2} and \dfrac{– 11 }{ 12}\)