Division of Negative Numbers

Q.

Give the example of an integer that is greater than the sum of the other two integers.

Q.

Division is the inverse of multiplication.

1. False

2. True

Q. Three times the first of three consecutive odd integers is $3$ more than twice the third. The third integer is:

1. $9$
2. $13$
3. $11$
4. $15$

Q.

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

1. Commutative property

2. Associative property

3. None of these properties

4. Closure property

Q.

Which of the following is not an integer?

1. 2

2. -3

3. 1600

4. 5.4

Q.

Find the value of
$\frac{-16}{21}÷\frac{-4}{3}.$

1. $\frac{-3}{10}$

2. $\frac{4}{7}$

3. $\frac{-7}{21}$

4. $\frac{-7}{6}$

Q. Which of the following properties does not hold good for division of integers?

1. Closure property
2. Commutative property
3. Associative property
4. Distributive property

Q.

A set of numbers denoted by letter $Z$ which include both positive and negative numbers and do not have a fractional component is known as ___.

Q. Find three consecutive odd integers such that the sum of the first is two less than the second, and three more than the third is $70$.

Q.

Question 8
Find the values of the letters in the following and give reasons for the steps involved.
$A1$
$\underset{–}{+1B}$
$\underset{–}{B0}$

Q.

Find the value of.

(i) (3⁰ + 4⁻¹) × 2² (ii) (2⁻¹ × 4⁻¹) ÷2⁻²

(iii) (iv) (3⁻¹ + 4⁻¹ + 5⁻¹)⁰

(v)

Q.

For a non-zero integer a, which of the following is not defined?

1. $a÷0$

2. $0÷a$

3. $a÷1$

4. $1÷a$

Q. Mark (✓) against the correct answer
${\left(\frac{-5}{4}\right)}^{-1}=?$
(a) $\frac{4}{5}$
(b) $\frac{-4}{5}$
(c) $\frac{5}{4}$
(d) $\frac{3}{5}$

Q. Tick (✓) the correct answer
${\left(\frac{-5}{3}\right)}^{-1}=?$
(a) $\frac{5}{3}$
(b) $\frac{3}{5}$
(c) $\frac{-3}{5}$
(d) none of these

Q.

Which of the following does not represent an integer?

1. $0÷(-7)$

2. $20÷(-4)$

3. $(-9)÷3$

4. $(-12)÷5$

Q. Write the simplest form: (a-1 + b-1) ÷ (a + b)

Q.

Give expression when $\mathrm{y}$ is divided by $8$.

Q.

$0÷53=.........$

Q.

p² - 1 =

1. p(p - 1)

2. (p - 1)(p - 1)

3. (p - 1)(p + 1)

4. (p + 1)(p + 1)

Q.

$(-100)÷(-10)=?$

1. 5

2. -10

3. 9

4. 10

Q.

$(-69)÷69=$ ___

1. -3

2. -1

3. 1

4. 4

Q. Simplify:
(i)
(ii)
(iii)
(iv)

Q.

-7/3*(12/5 -4/21)

Q. Write the five different pairs of dividends and divisors such that the quotient in each case is 2x.

Q.

In the equation $z=\frac{x}{y}$ , find the value of z when x = -10 and y = -20

1. $z=\frac{1}{2}$​​​​​​

2. $z=\frac{9}{16}$​​​​​​

3. $z=\frac{3}{7}$​​​​​​

4. $z=\frac{2}{7}$​​​​​​

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

Q.

f $÷(-1)=75$. Find f

1. f = -75

2. f = -40

3. f = 75

4. f = 90

Q. $1+8÷2-(4+6)\times 2=$ .

1. 10
2. 15
3. -10
4. -15

Q. Mark (✓) against the correct answer
The value of ${\left(\frac{3}{4}\right)}^{-3}$ is
(a) $\frac{-27}{64}$
(b) $\frac{64}{27}$
(c) $\frac{-9}{4}$
(d) $\frac{27}{64}$

Q.

If A = {8, 16, 24, 32}, B = {5, 25, 125} and a R b means a < b, a $\in$ A, b $\in$ B, a R b $\in$ A $\times$ B, find the relation a R b.

1. R = {(16, 25), (16, 125), (24, 5), (24, 25), (24, 125), (32, 25), (32, 125)}

2. R = {(8, 25), (8, 125), (8, 5), (16, 25), (24, 25), (32, 5), (32, 25)}

3. R = {(8, 25), (8, 125), (16, 25), (16, 125), (24, 25), (24, 125), (32, 125)}

4. R = {(16, 5), (16, 125), (16, 25), (24, 25), (24, 5), (24, 125), (32, 25)}