**Hint:** Represent integers with their signs in order to differentiate positive number, negative number and zero from each other

**Question.1.** Which set shows all numbers less than 0?

(a) 12, 23, 37

(b) –15, 0, 15

(c) –28, –9, 0

(d) –54, –43, –39

**Question.2.** The number -x is a negative integer. Which of these is a valid conclusion about x?

(a) x is any integer greater than or equal to 0.

(b) x is any integer less than or equal to 0.

(c) x is any integer greater than 0.

(d) x is any integer less than 0.

**Ans.1.** (d) –54, –43, –39**Ans.2.** (c) x is any integer greater than 0.

**Hint:** Denote numbers with their signs in order to represent real life situations like temperature scale, credit debit etc.

**Question.3.** The depth of a submarine is 542 meters below the sea level. If 0 represents the sea level, what is the elevation of the submarine?

(a) 542

(b) –542

(c) \frac{1}{542}

(d) -\frac{1}{542}

**Question.4.** Aakriti has a certain amount of money. She spends more money than she has by borrowing some money from her friend. Aakriti made the following statements.**Statement I:** The initial amount of money she has is represented by a positive integer.**Statement II:** The amount she spent is represented by a negative integer.

Which of these statements is/are true?

(a) Only statement I

(b) Only statement II

(c) Both statements I and II

(d) Neither statement I nor statement II

**Ans.3.** (b) –542**Ans.4.** (c) Both statements I and II

**Hint:** Represent the integer on Number Line in order to determine its position with respect to other integers.

**Question.5.** Ajay plots two points A and B on the number line.

- Point A lies 3 points to the left of zero.
- Point B lies 5 points to the right of point A.

Which of these options correctly represents the points A and B?

(a) (b) (c) (d)

**Question.6.** A point U lies 3 steps to the left of an integer n, as shown below:

- Point U is moved 9 steps to its right to get point V.
- Point V is moved 5 steps to its left to get point W.

Which of these represents the position of point W with respect to n?

(a) It lies 1 step to the right of n.

(b) It lies 1 step to the left of n.

(c) It lies 4 steps to the right of n.

(d) It lies 4 steps to the left of n.

**Ans.5.** (b) **Ans.6.** (a) It lies 1 step to the right of n.

**Hint:** Determine one more and one less of a given integers in order to find its predecessor and successor.

**Question.7.** What is the successor of the predecessor of –12?

(a) –11

(b) –12

(c) –13

(d) –14

**Question.8.** The predecessor of an integer is k+13 and the successor of the integer is -k+5. What is the integer?

(a) –3

(b) –4

(c) –5

(d) –6

**Ans.7.** (b) –12**Ans.8.** (c) –5

**Hint:** Determine the order of integers in order to represent them on number line and draw comparison between them.

**Question.9.** Which of these can be used to prove that −4 > −7 using a number line?83

(a) On the number line 4 is to the left of –7.

(b) On the number line –4 is to the left of –7.

(c) On the number line 4 is to the right of –7.

(d) On the number line–4 is to the right of –7.

**Question.10.** Given that m is a positive integer and n is a negative integer. Which of these statements is correct?

(a) The predecessor of m will be always greater than the successor of n.

(b) The predecessor of m will be always less than the successor of n.

(c) The predecessor of m and successor of n can never be equal.

(d) The predecessor of m and successor of n can be equal.

**Ans.9.** (d) On the number line –4 is to the right of –7.**Ans.10.** (d) The predecessor of m and successor of n can be equal.

**Hint:** Represent the integers on number line in order to perform arithmetic operations on them.

**Question.11.** Which number line shows the addition of −4 and its successor?

(a) (b) (c) (d)

**Question.12.** The value of 7-3+p is the greatest negative integer. Which number line shows the value of p?

(a) (b) (c) (d)

**Ans.11.** (b) **Ans.12.** (c)

**Hint:** Apply the rules of integer’s operations in order to perform arithmetic operations on them.

**Question.13.** What is the result obtained on subtracting 98 from the sum of –126 and 154?

(a) 126

(b) 70

(c) –7084

(d) –126

**Question.14.** If p = −54 and q = 29, what is the largest negative integer that should be added to (p+q)-(p-q) so that the result is a negative integer?

(a) –59

(b) –58

(c) –47

(d) –39

**Ans.13.** (c) –7084**Ans.14.** (a) –59