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155 questions · 6 auto-graded MCQ + 149 self-marked written.

Question 141 Mark
Find each of the following products: $(-5) \times (-8) \times (-3)$
Answer
$(-5) \times (-8) \times (-3) = (-5) \times (24) = -120$
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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 191 Mark
Fill in the blanks: $($_____$) ÷ (-4) = 24$
Answer
$(-96) ÷ (-4) = 24$
$\Rightarrow -4 \times 24 = -96 (-96) ÷ (-4) = 24$
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Question 211 Mark
Write $(T)$ for true and $(F)$ for false for the following statements:
$(-1) ÷ (-1) = -1$
Answer
False
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.
Example: $-9 + 2 = -7$
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Question 261 Mark
Fill in the blanks:
$(-47) \times 68 – (-47) \times 38$
Answer
$(-47) \times 68 – (-47) \times 38$
$= (-47) \times (68 – 38)$ [Asssociative property]
$= (-47) \times 30$
$= -1410$
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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.
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 371 Mark
Find each of the following products: $7 \times (-8) \times 3$
Answer
$7 \times (-8) \times 3 = 21 \times (-8) = -168$
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Question 381 Mark
Write $(T)$ for true and $(F)$ for false for the following statements: $0 ÷ (-4) = 0$
Answer
True.
 Aas zero divided by non zero integer is zero.
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MCQ 411 Mark
What must be subtracted from $-7$ to obtain $-15$?
  • A
    $-8$
  • $8$
  • C
    $-22$
  • D
    $22$
Answer
Correct option: B.
$8$
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
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
All negative integers are less than zero.
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Question 481 Mark
Fill in the blanks: $-36 + ($_____$) = -4$
Answer
$-36 ÷ (9) = -4$
$\Rightarrow -36 ÷ (-4) = 9 -36 ÷ (9) = -4$
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Question 491 Mark
Fill in the blanks:
${(-13) + 27} 4 - (-41) = (-13) + {27 + (……..)}$
Answer
$-41$ (Associative property)
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Question 511 Mark
Fill in the blanks: $72 ÷ ($_____$) = -4$
Answer
$72 ÷ (-18)= -4$
$\Rightarrow 72 ÷ (-4) = -18 72 ÷ (-18) = -4$
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Question 521 Mark
Write $‘T’$ for true and $‘F’$ for false for each of the following: $(-36) ÷ (-1) = 36$
Answer
True
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Question 541 Mark
Fill in the blanks:
$(-6) \times ($____$) = 6$
Answer
$(-6) \times (x) = 6$
$\text{x}=\frac{6}{-6}$
$x = -1$
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 $= 5 \times 5 + 5 \times (-2)$
$= 25 - 10 = 15$
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MCQ 651 Mark
$(-37) \times (-7) + (-37) \times (-3) = ?$
  • $370$
  • B
    $-370$
  • C
    $148$
  • D
    $-148$
Answer
Correct option: A.
$370$
$= (-37) \times (-7) + (-37) \times (-3)$
$= (-37) \times [(-7) + (-3)]$ [Associative property]
$= (-37) \times (-10)$
$= 370$
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Question 681 Mark
Fill in the blanks: (_____) $÷ 1 = -37$
Answer
$(-37) + 1 = 37 $
$\Rightarrow (-37) \times 1 = -37 (-37) ÷ 1 = -37$
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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
$(a \times b) \times c = a \times (b \times c)$
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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 $= 4 \times 5 + 6 \times (-2) = 20 + (-12) = 8$
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Question 751 Mark
Fill in the blanks: $($_____$) + (-1) = 36$
Answer
$(36) ÷ (-1) = 36 $
$\Rightarrow 36 \times (-1) = -36 (-36) ÷ (-1) = 36$
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Question 781 Mark
Write $(T)$ for true and $(F)$ for false for the following statements: $(-6) ÷ 0 = 0$
Answer
False
As division by zero is not meaning full.
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Question 821 Mark
Find each of the following products: $(-6) \times 6 \times (-10)$
Answer
$(-6) \times 6 \times (-10) = 6 \times (60) = 360$
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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
$a \times b = b \times a$
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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 $= 2 \times 5+ 5 \times (-2)$
$= 10 - 10 = 0$
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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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MCQ 941 Mark
$(-25) \times 8 + (-25) \times 2 = ?$
  • A
    $250$
  • B
    $150$
  • $-250$
  • D
    $-150$
Answer
Correct option: C.
$-250$
$= (-25) \times 8 + (-25) \times 2$
$= (-25) \times (8 + 2)$ [Associative property]
$= (-25) \times 10 = -250$
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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.
$a \times (-1) = -a$, 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
True
As $-a ÷ 1 = -a$
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Question 991 Mark
Write $‘T’$ for true and $‘F’$ for false for each of the following: $(-52) ÷ 13 = -4$
Answer
True
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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.
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
$-10$ is less than $-7$
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Question 1061 Mark
Find each of the following products: $3 \times 4 \times (-5)$
Answer
$3 \times 4 \times (-5) = (12) \times (-5) = -60$
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MCQ 1081 Mark
How much less than $-2$ is $-8$?
  • A
    $6$
  • $-6$
  • C
    $10$
  • D
    $-10$
Answer
Correct option: B.
$-6$
$-8 - (-6) = 2$
Hence, $-8$ is $-6$ less than $-2$.
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Question 1111 Mark
Write $‘T’$ for true and $‘F’$ for false for each of the following:
$68 ÷ (-17) = 4$
Answer
False
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Question 1121 Mark
Find each of the following products: $(-7) \times (-3) \times 4$
Answer
$(-7) \times (-3) \times 4 = 21 \times 4 = 84$
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Question 1131 Mark
Find each of the following products: $2 \times (-5) \times (-6)$
Answer
$2 \times (-5) \times (-6) = (-10) \times (-6) = 60$
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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
Dividing any integer by zero is not defined.
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Question 1151 Mark
Fill in the blanks: $1 ÷ ($____$) = -1$
Answer
$1 ÷ (-1) = -1$
$\Rightarrow -1 ÷ 1 = -1 1 ÷ (-1) = -1$
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Question 1191 Mark
Write $‘T’$ for true and $‘F’$ for false for each of the following: $(-1) ÷ (-1) = -1$
Answer
False
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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.
$-90$ 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: $(-14) \times ($___$) = (-16) \times (-14)$
Answer
$(-14) \times (-1) = (-16) \times (-14)$ [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
As $(-5) ÷ (-1) = 5$ (product will be positive)
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Question 1311 Mark
Fill in the blanks: $39 + ($_____$) = -1$
Answer
$39 ÷ (-39) = -1 $
$\Rightarrow 39 ÷ (-1) = -39 39 ÷ (-39) = -1$
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