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131 questions · self-marked practice — reveal the answer and mark yourself.

Question 141 Mark
Find each of the following products:
(-5) × (-8) × (-3)
Answer
(-5) × (-8) × (-3) = (-5) × (24) = -120
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Question 161 Mark
Write a pair of integers whose sum gives:
An integer smaller than both the integers;
Answer
Consider the integers -4 and -5. Then, we have: (-4) + (-5) = -9, which is smaller than -4 and -5.
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Question 181 Mark
Fill in the blanks:
(-26) + {(-49) + (-83) 1 = {(-26) + (-49) 1 + (…..)
Answer
53 (Commutative property)
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Question 211 Mark
Write (T) for true and (F) for false for the following statements:
(-1) ÷ (-1) = -1
Answer
False
Solution:
As (-1) ÷ (-1) = 1
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Question 221 Mark
For the following statements, write (T) for true and (F) for false:
The sum of two negative integers is a negative integer.
Answer
False.
Solution:
Example: -9 + 2 = -7
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Question 261 Mark
Fill in the blanks:
(-47) × 68 – (-47) × 38
Answer
(-47) × 68 – (-47) × 38
= (-47) × (68 – 38) [Asssociative property]
= (-47) × 30
= -1410
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Question 281 Mark
Write a pair of integers whose sum gives:
An integer greater than both the integers;
Answer
Consider the integers 2 and 6. Then, we have: 2 + 6 = 8, which is greater than both 2 and 6.
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Question 291 Mark
Which of the following statements are true and which are false?
The product of two negative integers is a negative integer.
Answer
False.
Solution:
Since the number of negative signs is even, the product will be a positive integer.
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Question 311 Mark
Write a pair of integers whose sum gives:
Zero;
Answer
Consider the integers 8 and -8. Then, we have: 8 + (-8) = 0
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Question 321 Mark
Which of the following statements are true and which are false?
The product of a positive and a negative integer is negative.
Answer
True.
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Question 381 Mark
Write (T) for true and (F) for false for the following statements:
0 ÷ (-4) = 0
Answer
True.
Solution:
Aas zero divided by non zero integer is zero.
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Question 411 Mark
What must be subtracted from -7 to obtain-15?
  1. -8
  2. 8
  3. -22
  4. 22
Answer
  1. 8
Solution:

Suppose that a is subtracted from (-7). Then, we have

-7 - a = -15

a = -7 + 15 = 8

8 must be subtracted from -7 to obtain -15.
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Question 421 Mark
For the following statements, write (T) for true and (F) for false:
The sum of two negative integers is a negative integer.
Answer
True.
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Question 441 Mark
Which of the following statements are true and which are false?
Every non zero integer has a multiplicative inverse as an integer.
Answer
False
Solution:
Every non-zero integer a has a multiplicative inverse 1/a, which is not an integer.
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Question 451 Mark
For the following statements, write (T) for true and (F) for false:
Zero is larger than every negative integer.
Answer
True
Solution:
All negative integers are less than zero.
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Question 541 Mark
Fill in the blanks:
(-6) × (____) = 6
Answer
(-6) × (x) = 6
$\text{x}=\frac{6}{-6}$
x = -1
Thus, x = (-1)
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Question 601 Mark
Write a pair of integers whose sum gives:
An integer smaller than only one of the integers.
Answer
Consider the integers 7 and -4. Then, we have: 7 + (-4) = 3, which is smaller than 7 only.
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Question 611 Mark
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (-2) marks are awarded for every incorrect answer and 0 for each question not attempted.
Reenu gets 5 correct and 5 Incorrect answers. What Is he score?
Answer
Reenu’s score = 5 × 5 + 5 × (-2)
= 25 - 10 = 15
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Question 651 Mark
(-37) × (-7) + (-37) × (-3) = ?
  1. 370
  2. -370
  3. 148
  4. -148
Answer
  1. 370
Solution:

= (-37) × (-7) + (-37) × (-3)

= (-37) × [(-7) + (-3)] [Associative property]

= (-37) × (-10)

= 370
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Question 701 Mark
Which of the following statements are true and which are false?
Multiplication on integers is associative.
Answer
True
Solution:
(a × b) × c = a × (b × c)
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Question 721 Mark
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (-2) marks are awarded for every incorrect answer and 0 for each question not attempted.
Ravi gets 4 correct and 6 incorrect answers. What is his score? Oil
Answer
We have 5 marks for correct answer and (-2) marks for an incorrect answer.
Now, we have the following:
Ravi’s score = 4 × 5 + 6 × (-2)
= 20 + (-12) = 8
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Question 781 Mark
Write (T) for true and (F) for false for the following statements:
(-6) ÷ 0 = 0
Answer
False
Solution:
As division by zero is not meaning full.
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Question 851 Mark
Which of the following statements are true and which are false?
Multiplication on integers is commutative.
Answer
True
Solution:
a × b = b × a
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Question 871 Mark
In a class test containing 10 questions, 5 marks are awarded for every correct answer and (-2) marks are awarded for every incorrect answer and 0 for each question not attempted.
Reenu gets 5 correct and 5 Incorrect answers. What Is he score?
Answer
Heena’s score = 2 × 5+ 5 × (-2)
= 10 - 10 = 0
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Question 901 Mark
Write a pair of integers whose sum gives:
A negative integer;
Answer
Consider the integers 2 and (-9). Then, we have: 2 + (-9) = -7, which is a negative integer.
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Question 941 Mark
(-25) × 8 + (-25) × 2 = ?
  1. 250
  2. 150
  3. -250
  4. -150
Answer
  1. -250
Solution:

= (-25) × 8 + (-25) × 2

= (-25) × (8 + 2) [Associative property]

= (-25) × 10 = -250
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Question 971 Mark
Which of the following statements are true and which are false?
Every integer when multiplied with -1 gives its multiplicative inverse.
Answer
False.
Solution:
a × (-1) = -a, which is not the multiplicative inverse of a.
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Question 981 Mark
Write (T) for true and (F) for false for the following statements:
(-8) ÷ 1 = -8
Answer
TrueSolution:
As -a ÷ 1 = -a
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Question 1011 Mark
Which of the following statements are true and which are false?
The product of three negative integers is a negative Integer.
Answer
True.
Solution:
The number of negative signs is odd.
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Question 1051 Mark
For the following statements, write (T) for true and (F) for false:
-10 is greater than -7.
Answer
False
Solution:
-10 is less than -7
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Question 1081 Mark
How much less than -2 is -8?
  1. 6
  2. -6
  3. 10
  4. -10
Answer
  1. -6
Solution:

-8 - (-6) = 2

Hence, -8 is -6 less than -2.
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Question 1141 Mark
Write ‘T’ for true and ‘F’ for false for each of the following:
(-8) ÷ 0 = 0
Answer
False
Solution:
Dividing any integer by zero is not defined.
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Question 1201 Mark
For the following statements, write (T) for true and (F) for false:
The smallest integer is zero.
Answer
False.Solution:
-90 and -100 are also integers. We cannot determine the smallest integer. Since they are infinite.
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Question 1291 Mark
Fill in the blanks:
(-14) × (___) = (-16) × (-14)
Answer
(-14) × (-1) = (-16) × (-14) [Commutative property]
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Question 1301 Mark
Write (T) for true and (F) for false for the following statements:
(-5) ÷ (-1) = -5
Answer
False
Solution:
As (-5) ÷ (-1) = 5 (product will be positive)
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