Find 20 rational no. Between the additive inverse of the sum of 2/5 and 1/3 and the product of 6/7 and 21/24
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(i) 0 is the rational number that does not have a reciprocal. (ii) 1 and -1 are the rational numbers that are equal to their reciprocals. (iii) 0 is the rational number that is equal to its negative.
Question-11 :- Fill in the blanks.
(i) Zero has ________ reciprocal.
(ii) The numbers ________ and ________ are their own reciprocals.
(iii) The reciprocal of –5 is ________.
(iv) Reciprocal of 1/x, where x ≠ 0 is ________.
(v) The product of two rational numbers is always a _______.
(vi) The reciprocal of a positive rational number is ________.
Solution :-
(i) Zero has no reciprocal. (ii) The numbers 1 and -1 are their own reciprocals (iii) The reciprocal of -5 is -1/5. (iv) Reciprocal of 1/x, where x ≠ 0 is x. (v) The product of two rational numbers is always a rational numbers. (vi) The reciprocal of a positive rational number is positive rational numbers.
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Rational Numbers -- EXERCISE-1.1 example Continue.....
Question-7 :- Tell what property allows you to compute 1/3 × (6 × 4/3) as (1/3 × 6) × 4/3.
Solution :-
Here, a x (b x c) = (a x b) x c in the form. So, this is associative property.
Question-8 :- Is 8/9 the multiplicative inverse of -11⁄8 .
Solution :-
If it will be the multiplicative inverse then their product will be 1. -11⁄8 = -7/8 8/9 × -7/8 = -7/9 ≠ 1 [a/b x c/d = 1] Hence, 8/9 is not the multiplicative inverse.
Question-9 :- Is 0.3 the multiplicative inverse of 31⁄3 ? Why or why not?
Solution :-
If it will be the multiplicative inverse then their product will be 1. 31⁄3 = 10/3 also, 0.3 = 3/10 3/10 × 10/3 = 1 [a/b x c/d = 1] Hence, 0.3 is the multiplicative inverse.
Question-11 :- Fill in the blanks.
(i) Zero has ________ reciprocal.
(ii) The numbers ________ and ________ are their own reciprocals.
(iii) The reciprocal of –5 is ________.
(iv) Reciprocal of 1/x, where x ≠ 0 is ________.
(v) The product of two rational numbers is always a _______.
(vi) The reciprocal of a positive rational number is ________.
Solution :-
(i) Zero has no reciprocal. (ii) The numbers 1 and -1 are their own reciprocals (iii) The reciprocal of -5 is -1/5. (iv) Reciprocal of 1/x, where x ≠ 0 is x. (v) The product of two rational numbers is always a rational numbers. (vi) The reciprocal of a positive rational number is positive rational numbers.
Ncert Solution at 20:14 No comments:
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Rational Numbers -- EXERCISE-1.1 example Continue.....
Question-7 :- Tell what property allows you to compute 1/3 × (6 × 4/3) as (1/3 × 6) × 4/3.
Solution :-
Here, a x (b x c) = (a x b) x c in the form. So, this is associative property.
Question-8 :- Is 8/9 the multiplicative inverse of -11⁄8 .
Solution :-
If it will be the multiplicative inverse then their product will be 1. -11⁄8 = -7/8 8/9 × -7/8 = -7/9 ≠ 1 [a/b x c/d = 1] Hence, 8/9 is not the multiplicative inverse.
Question-9 :- Is 0.3 the multiplicative inverse of 31⁄3 ? Why or why not?
Solution :-
If it will be the multiplicative inverse then their product will be 1. 31⁄3 = 10/3 also, 0.3 = 3/10 3/10 × 10/3 = 1 [a/b x c/d = 1] Hence, 0.3 is the multiplicative inverse.
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