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50 questions · 2 auto-graded MCQ + 48 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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