Properties of Negative Numbers

Q.

Define associativity of addition, subtraction, multiplication and division for whole numbers.

Q. 35 What is (A+B+C+D) such that ABCB=DDD, where AB and CB are two-digit integers and DDD is a three-digit integer?

Q.

Express the set in tabular and set builder form

Set of positive integers

Q.

Negative of a number is also called

Q. If 𝑎, 𝑏, 𝑐 are negative integers and 𝑑, 𝑒 are positive integers, then (𝑎𝑏𝑐)/(𝑑𝑒) is:

1. Positive
2. Zero
3. Negative
4. Not defined

Q. Choose the correct option for the following.
(-1) x (-1) x (-1) x (-1) x ... 80 times = ___

1. 1
2. -1
3. 80
4. -80

Q. Question no 14

Q. Question no 8

Q. The product of two integers is 72. If one of the integers is -12, what is the value of the other?

Q. Tick (✓) the correct answer
$\sqrt{2\frac{1}{4}}=?$
(a) $2\frac{1}{2}$
(b) $1\frac{1}{2}$
(c) $1\frac{1}{4}$
(d) none of these

Q. In a class test containing 20 questions, 4 marks are awarded for every correct answer and -2 marks are awarded for every incorrect answer and 0 for not attempted questions. Pranav gets 9 correct and 3 incorrect answers. Find his Scores.
$\left[2\right]$

Q. Tick (✓) the correct answer
The value of (−3)⁻⁴ is
(a) 12
(b) 81
(c) $-\frac{1}{12}$
(d) $\frac{1}{81}$

Q. The value of a for which ( 8, -7, a ), ( 5, 2 4) and (6, -1, 2) are collinear, given by

Q.

Find the product of $125\times 25\times 8\times 4$ by suitable rearrangement

Q.

Suppose m and n are distinct integers. Can be an integer? Give reasons.

Q.

The given figure represents,

1. U = {1, 2, 3, 4, 6, 7, 8, 9}, = {1, 2, 5, 6}, = {3, 9

2. U = {1, 2, 3, 4, 5, 6, 7, }, = {1, 2, 5, 6}, = {3, 9}

3. U = {1, 4, 5, 6, 7, 8, 9}, = {1, 2, 5, 6}, = {3, 9}

4. U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, = {1, 2, 5, 6}, = {3, 9}

Q.

Fill in the blanks to make the statements true.

$61589\times 1523=61589\times (\_\_\_\_\_+25)$

Q. Tick (✓) the correct answer
${\left(\frac{-1}{2}\right)}^3=?$
(a) $\frac{-1}{6}$
(b) $\frac{1}{6}$
(c) $\frac{1}{8}$
(d) $\frac{-1}{8}$

Q.

SIMPLIFY USING PROPERTIES OF RATIONAL NUMBERS.NAME THE PROPERTY USED

(1) 3/11*-3/16-3/11*13/16, (2) 2/5*-3/7-1/14-3/7*3/5, ( 3) -2/3*3/5+5/2-1/6*3/5

Q. If a relation R is defined on the set Z of integers as follows:
(a, b) ∈ R ⇔ a² + b² = 25. Then, domain (R) is
(a) {3, 4, 5}
(b) {0, 3, 4, 5}
(c) {0, ± 3, ± 4, ± 5}
(d) none of these

Q.

Suppose m is an integer such that m ≠ –1 and m ≠–2. Which is larger ? State your reasons.

Q.

The product of two integers is 72. If one of the integers is -12, what is the value of the other?

1. 6

2. -6

3. 12

4. 0

Q. Mark (✓) against the correct answer
Which of the following is a true statement?

(a) −11 > −8
(b) −11 < −8
(c) −11 and −8 cannot be compared

Q.

$\text{Solve}24\times 102\text{using distributive law.}$

1. -2238
2. -2458
3. -2448
4. -2508

Q. (1-1/3)(1-1/4)(1-1/5)_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (1-1/n)

Q. ntRationalize the denominator of the followingn nt1/ (3+ 2-33)n ntn

Q.

In a class test containing 20 questions, 4 marks are awarded for every correct answer and -2 marks are awarded for every incorrect answer and 0 for not attempted questions. Pranav gets 9 correct and 3 incorrect answers. What is his score?

1. 30
2. 42
3. -6
4. 12

Q.

In a class test containing 10 questions, 3 marks are awarded for every correct answer, (-1) mark is awarded for every incorrect answer and 0 for the questions not attempted. Srinu gets two correct and six incorrect answers out of eight questions he attempted. What is his total score?

1. 2

2. -2

3. 6

4. 0

Q.

A certain freezing process requires that room temperature should be lowered from 40${}^{\circ }$C at the rate of 5${}^{\circ }$C every hour. What is the room temperature after 10 hours?

1. 0${}^{\circ }$C

2. -5${}^{\circ }$C

3. -10${}^{\circ }$C

4. -15${}^{\circ }$C

Q. Which of the following statements is true?

1. All the integers follow the closure property for multiplication

2. Only positive integers follow the closure property for multiplication

3. Only negative integers follow the closure property for multiplication

4. Integers are not closed under multiplication