Which of the following is not true?

1

(a)

\(\frac{10}{11}+\frac{11}{12}=\frac{11}{12}+\frac{10}{11}\)

(b)

\(\frac{10}{11}\times \frac{11}{12}=\frac{11}{12}\times \frac{10}{11}\)

(c)

\(\frac{10}{11}+ \frac{11}{12}=\frac{11}{12}\div \frac{10}{11}\)

(d)

\(\frac{10}{11}\div \frac{11}{12}=\frac{11}{12}\times \frac{10}{11}\)

One (1) is

1

(a)

the identity for addition of rational numbers.

(b)

the identity for subtraction of rational numbers.

(c)

the identity for multiplication of rational numbers

(d)

theidenttty for division of rational numbers.

Which of the following is not true?

1

(a)

rational numbers are closed under addition

(b)

rational numbers are closed under subtraction.

(c)

rational numbers are closed under multiplication

(d)

rational numbers are closed under division

Which of the following is the multiplicative identity for rational numbers?

1

(a)

1

(b)

-1

(c)

0

(d)

None of these

Which of the following is neither positive nor a negative rational number?

1

(a)

1

(b)

0

(c)

Such a rational number does not exist

(d)

None of the above

The sum of \(-\frac { 1 }{ 9 } \) and \(-\frac { 1 }{ 9 } \) is-

1

(a)

0

(b)

1

(c)

\(\frac { 2 }{ 9 } \)

(d)

\(\frac { -2 }{ 9 } \)

The product of \(\frac { 1 }{ 5 } \) and \(-\frac { 1 }{ 5 } \) is -

1

(a)

0

(b)

1

(c)

\(\frac { 1 }{ 25 } \)

(d)

\(\frac { -1 }{ 25 } \)

Which of the following statements is false?

1

(a)

Natural numbers are closed under subtraction

(b)

Whole numbers are not closed under subtraction

(c)

Integers are closed under subtraction

(d)

Rational numbers are closed under subtraction.

Which of the following statements is true?

1

(a)

Natural numbers are closed under multiplication

(b)

Whole numbers are not closed under multiplication

(c)

Integers are not closed under multiplication

(d)

Rational numbers are not closed under multiplication.

Which of the following statements is true?

1

(a)

Natural numbers are associative for addition

(b)

Whole numbers are not associative for addition

(c)

Integers are not associative for addition

(d)

Rational numbers are not associative for addition.

Numbers	Closed under
	Addition	Subtraction	Multiplication	Division
Integers	___________	Yes	__________	No

1

(a)

Numbers	Closed under
	Addition	Subtraction	Multiplication	Division
Integers	Yes e.g (-6+5=-1) Integers	Yes(7-5=2) Integers	yes (5x8=40) Integers​​​​​​​	No (5\(\div\)8)​​​​​​\(\neq\)Integers​​​​​​​​​​​​​​

The product of a number and its reciprocal is ___________.

1

(a)

1

The reciprocal of the reciprocal of a number is __________.

1

(a)

The number itself

The rational number _________is neither positive nor negative.

1

(a)

0

______________is the only rational number which is equal to its additive inverse.

1

(a)

0

All the natural numbers are whole numbers.

1

(a) False

(b) True

Every rational number has a reciprocal 

1

(a) True

(b) False

-1 is not the reciprocal of any rational number.

1

(a) True

(b) False

The reciprocal of x^-1 is \({1\over x}\)

1

(a) True

(b) False

Zero is the smallest rational number.

1

(a) True

(b) False

Which of a or 1 is the multiplicative identity for rational numbers?

1

(a)

1

Which of a or 1 is the additive identity for rational numbers?

1

(a)

0

What is the additive inverse of ? \(\frac { -1 }{ 13 } \)

1

(a)

\(\frac { 1 }{ 13 } \)

What is the additive inverse of ? \(\frac { 1 }{ 5 } \)

1

(a)

\(\frac { -1 }{ 5 } \)

Find five rational numbers between \(\frac { 1 }{ 3} \) and \(\frac { 1 }{ 5 } \)

1

(a)

\(\frac { 13 }{ 60 } ,\frac { 14 }{ 60 } ,\frac { 15 }{ 60 } ,\frac { 16 }{ 60 } ,\) and \(\frac { 17 }{ 60 } \)