Question

Q1. Fill in the blanks:
c)
a) Rational numbers are numbers of the form
where p q are integers and q=0.
b) Rational numbers are not closed under
is called the additive identity of rational numbers.
d) Zero has
_ reciprocal.
e) The numbers
and
are their own reciprocals.
is the multiplicative inverse of 3
g) The rational number that is equal to its negative is
rational numbers between any two given rational numbers
h) There are
i) Nine times the reciprocal of a number is 3. The number is
==-1.​

Answer 1

Answer:

a) Rational numbers are numbers of the form p/q where p and q are integers and q not equal to zero.

b) Rational numbers are not closed under positive integers.

c) 0 is called the additive identity of rational numbers.

d) Zero has no reciprocal.

e) The numbers 1 and -1 are their own reciprocals.

f) 1/3 is the multiplicative inverse of 3.

g)The rational number that is equal to its neagtive is 1.

h) There are infinite rational numbers between any two given rational numbers.

í) Nine times the reciprocal of a number is 3. The number is 1/3.

Answer 2

Answer:

1. rational numbers are numbers of the form of p/q where p and q are integers and q is not equal to 0.
2. rational numbers are not closed under division and multiplication.
3. is called the additive identity of rational numbers.
4. Zero has 0 reciprocal.
5. The numbers 1 and -1 are their own reciprocals.
6. 1/3 is the multiplicative inverse of 3
7. The rational number that is equal to its negative is 1
8. There are infinite rational numbers between any two given rational numbers
9. Nine times the reciprocal of a number is 3. The number is 1/3

Explanation:

• In mathematics, a multiplicative inverse or reciprocal for a variety of x, denoted through 1/x or x⁻¹, is a variety of which whilst accelerated through x yields the multiplicative identity, 1.
• The multiplicative inverse of a fragment a/b is b/a
• Rational number, in arithmetic, a variety of that may be represented because the quotient p/q of integers such that q ≠ 0.
• In addition to all of the fractions, the set of rational numbers consists of all of the integers, every of which may be written as a quotient with the integer because the numerator and 1 because the denominator.

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