EWT | Academic Question

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Question (31)
QN0030283
Which expression has the greatest value?
  • (A) (–9) × (–2)
  • (B) 9 × (–2)
  • (C) (–9) × 2
  • (D) (–6) × 3

Correct Answer: A
Explanation:

(–9) × (–2) = 18, which is greater than the other products.

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Question (32)
QN0030284
Evaluate (–16) × (5 + (–8)).
  • (A) –48
  • (B) 48
  • (C) –128
  • (D) 128

Correct Answer: B
Explanation:

5 + (–8) = –3 and (–16) × (–3) = 48.

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Question (33)
QN0030285
Which statement about multiplication by (–1) is correct?
  • (A) It doubles the integer.
  • (B) It gives the additive inverse of the integer.
  • (C) It always gives a positive integer.
  • (D) It always gives zero.

Correct Answer: B
Explanation:

Multiplying an integer by –1 changes its sign.

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Question (34)
QN0030286
Find the value of (–32) × (–6).
  • (A) –192
  • (B) 192
  • (C) –38
  • (D) 38

Correct Answer: B
Explanation:

(–32) × (–6) = 192.

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Question (35)
QN0030287
A penalty of 3 points is given for each rule violation. If a player commits 14 violations, the total score due to penalties is
  • (A) 42
  • (B) –42
  • (C) –17
  • (D) 17

Correct Answer: B
Explanation:

Penalty = 14 × (–3) = –42 points.

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Question (36)
QN0030288
Evaluate (–5) × (–2) × (–3) × 4.
  • (A) –120
  • (B) 120
  • (C) –14
  • (D) 14

Correct Answer: A
Explanation:

Three negative factors give a negative product. Magnitude = 5 × 2 × 3 × 4 = 120.

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Question (37)
QN0030289
Which of the following is true?
  • (A) The magnitude of the product changes when only the signs change.
  • (B) The magnitude of the product depends only on the magnitudes of the integers.
  • (C) The product is always positive.
  • (D) The product is always negative.

Correct Answer: B
Explanation:

Changing only the signs changes the sign of the product, not its magnitude.

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Question (38)
QN0030290
Find the value of 24 × (–15).
  • (A) –360
  • (B) 360
  • (C) –39
  • (D) 39

Correct Answer: A
Explanation:

24 × (–15) = –360.

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Question (39)
QN0030291
Evaluate (–9) × (12 + (–7)).
  • (A) –45
  • (B) 45
  • (C) –171
  • (D) 171

Correct Answer: A
Explanation:

12 + (–7) = 5 and (–9) × 5 = –45.

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Question (40)
QN0030292
A diver descends 8 metres every minute. If downward movement is represented by a negative integer, what is the diver's displacement after 9 minutes?
  • (A) 72 m
  • (B) –72 m
  • (C) –17 m
  • (D) 17 m

Correct Answer: B
Explanation:

Displacement = 9 × (–8) = –72 m.

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