2. State whether the following statements are true (T) or false (F):
-5
5
(1) is the additive inverse of
9.
(ii) Every integer is a rational number
(iii) Zero has its multiplicative inverse,
(iv) Every rational number is an integer.
(v) Division of two rational numbers is always closed.
(vi) Non-terminating, non-recurring decimal numbers are rational numbers.
(vii) O is the multiplicative identity of rational numbers.
(vii) Non-terminating recurring decimal numbers are not rational numbers.
(ir) Subtraction of two rational numbers is not associative.
(x) Reciprocal of 1 is 1
(xi) Multiplicative inverse is also called a reciprocal
(xii) Between two different rational numbers, there are infinitely many number of
rational numbers.
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Answer:
Question 1:
List five rational numbers between:
(i) − 1 and 0 (ii) − 2 and − 1
(iii) (iv)
ANSWER:
(i) −1 and 0
(ii) −2 and −1
Five rational numbers are
(iii)
Five rational numbers are
(iv)
Five rational numbers are
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