Question

Fill in the blanks.
(i) The product of a rational number and
its reciprocal is equal to
(ii) The numbers
and
are their own reciprocals
-3
(iii) The additive inverse of is
10
(iv) The reciprocal of a negative number is
always
(v)
has no reciprocal.
-13
(vi) The multiplicative inverse of
is
22
2 Verify a x (b + c) = (a x b) + (a x c) and write
4
(-12)
the result for a =
4
7
(-15), b = and ca
5​

Answer 1

Answer:

(1) The product of rational numbers with its reciprocal is always equal to 1.

(2) The numbers 1 and −1 are their own reciprocals .

(3) the additive inverse of any number is negative of that number. Hence, the additive inverse of 10 is – 10.

(4)The reciprocal of a negative number must itself be a negative number so that the number and its reciprocal multiply to 1.

(5)  The reciprocal of 1 is 1 and the reciprocal of -1 is -1. 1 and -1 are the only rational numbers which are their own reciprocals. ... Therefore, rational number 0 has no reciprocal or multiplicative inverse

(6) Multiplicative Inverse of 22 is defined as what you can multiply with 22 to get 1

(7) a x (b+c)= a x b+a x c

-5/2 x (-2+11/8)= (-5/2 x -2) + (-5/2X11/8)

-5/2 x -5/8= 5+-55/16

25/16=5+-55/16

25/16=80/16-55/16

25/16=80-55/16

25/16=25/16

LHS=RHS

Step-by-step explanation:

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