Question

pls solve all these questions
$i \: will \: follow \: you \\ \: if \: you \: answer \\ \: this$
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Answer 1

Question-1:

The additive identity for rational numbers is ____.

Answer:

c) 0 ✅

0 is the additive identity for all the rational numbers because for any rational number $\sf \dfrac {p}{q}$, $\sf \dfrac {p}{q}$ + 0 = $\sf \dfrac {p}{q}$

$\:$

Question-2:

The multiplicative identity for rational numbers is ____.

Answer:

b) 1 ✅

1 is the multiplicative identity for all the rational numbers because for any rational number $\sf \dfrac {p}{q}$, $\sf \dfrac {p}{q}$ × 1 = $\sf \dfrac {p}{q}$

$\:$

Question-3:

Additive inverse of $\sf \dfrac {2}{3}$ is ______.

Answer:

a) $\sf \dfrac {-2}{3}$ ✅

If the questions to find the additive inverse of a rational number is asked, then just write the opposite sign of the rational number. If a rational number is positive, then its additive inverse will be negative and if it is negative, the additive inverse will be positive.

$\:$

Question-4:

Additive inverse of $\sf \dfrac {-3}{4}$ is _____.

Answer:

d) $\sf \dfrac {3}{4}$ ✅

$\:$

Question-5:

The multiplicative inverse of $\sf \dfrac {1}{2}$ is _____.

Answer:

c) 2 ✅

If we are asked to find the multiplicative inverse of a rational number, then do its reciprocal. Multiplicative inverse of $\sf \dfrac {p}{q}$ is $\sf \dfrac {q}{p}$

$\:$

Question-6:

The multiplicative inverse of $\sf \dfrac {-2}{5}$ is _____.

Answer:

b) $\sf \dfrac {-5}{2}$ ✅

$\:$

Question-7:

The multiplicative inverse of 1 is ____.

Answer:

c) 1 ✅

1 and -1 are their own reciprocals.

$\:$

Question-8:

The multiplicative inverse of -1 is ___.

Answer:

b) -1 ✅

$\:$

Question-9:

How many rational numbers are between any two rational numbers?

Answer:

c) Countless ✅

$\:$

Question-10:

The negative of 2 is ____.

Answer:

c) -2 ✅

$\:$

Question-11:

The negative of -2 is ___.

Answer:

b) 2 ✅

-(-2) = +2

$\:$

Question-12:

If a and b are two rational numbers then ____.

Answer:

b) $\sf \dfrac {a+b}{2}$ < b ✅

For any rational numbers a and b,

a < $\sf \dfrac {a+b}{2}$ < b

$\:$

Question-13:

The rational number which doesn't have a reciprocal is ____.

Answer:

a) 0 ✅

Reciprocal of $\sf \dfrac {0}{1}$ is $\sf \dfrac {1}{0}$ which is not defined.

$\:$

Question-14:

The rational number which is equal to its negative is ___.

Answer:

a) 0 ✅

0 is neither positive nor negative.

$\:$

Question-15:

Reciprocal of $\sf \dfrac {1}{x}$ is ____.

Answer:

a) x ✅

$\:$

Question-16:

Reciprocal of positive rational number is _____.

Answer:

a) a positive rational number ✅

Answer 2

Answer:

Question-1:

The additive identity for rational numbers is ____.

Answer:

c) 0 ✅

0 is the additive identity for all the rational numbers because for any rational numbers {p}{q},{p}{q} + 0 = {p}{q}

Question-2:

The multiplicative identity for rational numbers is ____.

Answer:

b) 1 ✅

1 is the multiplicative identity for all the rational numbers because for any rational number {p}{q}, \sf \dfrac {p}{q} × 1 = {p}{q}

Question-3:

Additive inverse of {2}{3} is ______.

Answer:

a) {-2}{3} ✅

If the questions to find the additive inverse of a rational number is asked, then just write the opposite sign of the rational number. If a rational number is positive, then its additive inverse will be negative and if it is negative, the additive inverse will be positive.

Question-4:

Additive inverse of \sf \dfrac {-3}{4} is _____.

Answer:

d) \sf \dfrac {3}{4} ✅

Question-5:

The multiplicative inverse of \sf \dfrac {1}{2} is _____.

Answer:

c) 2 ✅

Question-6:

The multiplicative inverse of \sf \dfrac {-2}{5} is _____.

Answer:

b) \sf \dfrac {-5}{2} ✅

Question-7:

The multiplicative inverse of 1 is ____.

Answer:

c) 1 ✅

1 and -1 are their own reciprocals.

Question-8:

The multiplicative inverse of -1 is ___.

Answer:

b) -1 ✅

Question-9:

How many rational numbers are between any two rational numbers?

Answer:

c) Countless ✅

Question-10:

The negative of 2 is ____.

Answer:

c) -2 ✅

Question-11:

The negative of -2 is ___.

Answer:

b) 2 ✅

-(-2) = +2

Question-12:

If a and b are two rational numbers then ____.

Answer:

b) {a+b}{2} < b ✅

For any rational numbers a and b,

a < {a+b}{2} b

Question-13:

The rational number which doesn't have a reciprocal is ____.

Answer:

a) 0 ✅

Reciprocal of \sf \dfrac {0}{1} is \sf \dfrac {1}{0} which is not defined.

Question-14:

The rational number which is equal to its negative is ___.

Answer:

a) 0 ✅

0 is neither positive nor negative.

Question-15:

Reciprocal of \sf \dfrac {1}{x} is ____.

Answer:

a) x ✅

Question-16:

Reciprocal of positive rational number is _____.

Answer:

a) a positive rational number ✅

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