Properties of Division of Integers

Q.

The reciprocal of $1$ is ______?

Q.

The reciprocal of $\frac{1}{6}$ is -$\frac{1}{6}$

1. False

2. True

Q. Write the generalized form of 52.

Q. Question 11(iv)
What is the reciprocal of $\frac{1}{x}$, where $x\ne 0$ ?

Q.

The reciprocal of $-5$is

Q. The largest three digit number divisible by $19$ is:

1. $988$
2. $998$
3. $999$
4. $969$

Q.

The reciprocal of _______________ is $1$

Q.

The reciprocal of $-1$is

1. $1$

2. $-1$

3. $0$

4. $notdefined$

Q.

Question 18
The reciprocal of 0 is
(a) 1
(b) –1
(c) 0
(d) Not defined

Q. The additive inverse of $\frac{4}{5}\times \frac{2}{3}+\frac{1}{2}\times \frac{4}{5}$ is .

1. $-\frac{4}{5}$
2. $-\frac{14}{15}$
3. $-\frac{8}{13}$

Q.

Integers are not closed under which operation?

1. Addition

2. Subtraction

3. Multiplication

4. Division

Q. Find the value of :
$(14÷7)÷2=$ ____
$14÷(7÷2)=$ ____

1. 1, 4
2. 2, 3
3. 1, 1
4. -1, -1

Q.

Question 31
Zero has ___ reciprocal.

Q.

The reciprocal of $\frac{2}{9}$is ____

Q.

Find the quotient $(-42)÷(-7)$.

Q. ARE NATURAL NUMBERS COMMUTATIVE FOR ADDITION, SUBTRACTION , MULTIPLICATION AND DIVISION ?

Q.

$(-374)÷(-17)=$ ______.

1. $22$

2. $-22$

3. $17$

4. $-17$

Q. If $4(t+u)+3=19$, then $t+u=$

1. $3$
2. $4$
3. $5$
4. $6$

Q. Which of the following statement is true?
If a number is divisible by $18$ if it is divisible by both $3$ and $6$.

1. True
2. False

Q. Which of the given statement is true?
If a number is divisible by $4$, it must be divisible by $8$.

1. True
2. False

Q.

Which of the following properties hold good for division of integers?

1. Closure property
2. Commutative property
3. Associative property
4. None of the above

Q. If ${}^{\prime }{÷}^{\prime }$ means ${}^{\prime }{-}^{\prime }{,}^{\prime }{\times }^{\prime }$ means ${}^{\prime }{÷}^{\prime }{,}^{\prime }{+}^{\prime },$ means ${}^{\prime }{\times }^{\prime }{,}^{\prime }{-}^{\prime }$ means ${}^{\prime }{+}^{\prime }$ and ${}^{\prime }{=}^{\prime }$ means ${}^{\prime }{<}^{\prime }.$ Then which of the following options is correct?

1. $6+4÷20-12\times 6=2$
2. $12\times 6+4÷3-6=10$
3. $6÷6\times 6-7-10=10$
4. $4-24\times 6+4÷4=20$

Q.

Evaluate the expression when $a=-18$ and $b=-6$.

$\frac{b^2}{a}+4$

Q. $4nA=\frac{4}{3}$
$4n3A=?$

Q. How do you find the reciprocal of -4?

Q. Find the difference :
$463-9$

Q. The number obtained when $144$ is divided by $16$ is

1. X
2. VII
3. VIII
4. IX

Q. The statement "If x is divisible by 8 then it is divisible by 6" is false if x equals

1. 48
2. 14
3. 6
4. 32

Q. Find : $\frac{1}{5}$ of $2.40$