Properties of Division of Integers

Q.

Evaluate $50÷(-5)$

Q.

Integers are closed under division, i.e. for any two integers, a and b, a $÷$ b will be an integer. State true or false.

1. True

2. False

Q.

What is the abstract noun of neighbour

Q.

$(-16)÷4$ is not same as

1. $(-4)÷16$

2. $-(16÷4)$

3. $16÷(-4)$

4. $-4$

Q. What is the product of a number and its reciprocal?

1. The reciprocal
2. The number itself
3. $0$
4. $1$

Q. Find a number which when multiplied by $5$ is increased by $80$.

Q. Find the number which when multiplied by $15$ is increased by $136$.

1. $14$
2. $20$
3. $26$
4. None of these

Q. Estimate: $5290+17986$

Q. Evaluate:
$0.3\times 0.03\times 0.003$

Q. Any number divided by $0$ is $0.$

1. True
2. False

Q. The result when a number is divided by $2$ is equal to the result when that same number is divided by $4$. What is that number?

1. $-4$
2. $-2$
3. $0$
4. $2$
5. $4$

Q. Match the division statements with their equivalent multiplication statements using their reciprocals.

1. $4\times \frac{2}{1}$
2. $5\times \frac{4}{1}$
3. $3\times \frac{4}{3}$

Q. Calculate the number of factors of $28$.

1. $6$
2. $3$
3. $7$
4. $5$
5. $4$

Q. (-7) $÷$ (-14) = (-14) $÷$ (-7)
State true or false.

1. True
2. False

Q. Division of $9.826$ by $10$ gives

1. $982.6$
2. $98.26$
3. $0.9826$
4. $0.09826$

Q. Evaluate $\int 1dx$

Q. Integers are closed under division, i.e. for any two integers, a and b, a $÷$ b will be an integer.

1. True
2. False

Q.

$(-374)÷(-17)=$ ______.

1. $-17$

2. $-22$

3. $22$

4. $17$

Q. The largest number on a number line is 1000.

1. False
2. True

Q. does not follow the property of closure for integers.

1. Addition
2. Subtraction
3. Multiplication
4. Division

Q.

Using the information and your understanding till now, choose from the given options, the properties which hold good for the division of the integers?

1. Closure property

2. Commutative property

3. None of these properties

4. Associative property

Q. $\frac{(-)\times (+)}{(-)\times (-)\times (-)}$ is positive.

1. False
2. True

Q.

When we divide two integers, we always get a/an _____.

1. 0 was one of the integers

2. 0 was lesser than all the positive integers and greater than all the negative integers

3. 0 was exactly at the center of the number line

4. Any two positive and negative integers will add up to 0

Q.

Divide and find the quotient

$(-83)÷(-83)$

Q. Integers are closed under division.

1. False
2. True

Q.

$(-374)÷(-17)=$ ______.

1. $-22$

2. $17$

3. $-17$

4. $22$

Q. Do the following as directed.
From $21$ subtract $-1$

1. $22$
2. $20$
3. $-20$
4. $-22$

Q.

$(-374)÷(-17)=$ ______.

1. $22$

2. $-22$

3. $17$

4. $-17$

Q. Division is commutative.

1. True
2. False

Q. Match the division statements with their equivalent multiplication statements using their reciprocals.

1. $4\times \frac{2}{1}$
2. $5\times \frac{4}{1}$
3. $3\times \frac{4}{3}$