EWT | Academic Question

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Question (31)
QN0015142
Which statement illustrates the commutative property of addition?
  • (A) (2 + 3) + 4 = 2 + (3 + 4)
  • (B) 7 + (–4) = (–4) + 7
  • (C) 5 × (2 + 3) = 5 × 2 + 5 × 3
  • (D) 10 – 3 = 7

Correct Answer: B
Explanation:

Commutative property means changing the order of addition does not change the value.

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Question (32)
QN0015143
Which statement illustrates the associative property of addition?
  • (A) 8 + 5 = 5 + 8
  • (B) 3 × 4 = 4 × 3
  • (C) (6 + 4) + 2 = 6 + (4 + 2)
  • (D) 12 – 4 = 8

Correct Answer: C
Explanation:

Associative property means changing the grouping of terms does not change the value.

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Question (33)
QN0015144
Manasa forgot to add 9055 to her total of 11749. What should she do?
  • (A) Recalculate everything
  • (B) Subtract 9055
  • (C) Add 9055 to 11749
  • (D) Divide by 9055

Correct Answer: C
Explanation:

She can simply add the missing number to the obtained total.

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Question (34)
QN0015145
Which expression is equivalent to 200 – (40 + 3)?
  • (A) 200 – 40 + 3
  • (B) 200 + 40 – 3
  • (C) 200 – 40 – 3
  • (D) 200 + 40 + 3

Correct Answer: C
Explanation:

Removing brackets after a minus sign changes the signs inside.

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Question (35)
QN0015146
Which expression is equivalent to 500 – (250 – 100)?
  • (A) 500 – 250 – 100
  • (B) 500 + 250 – 100
  • (C) 500 – 250 + 100
  • (D) 500 + 250 + 100

Correct Answer: C
Explanation:

Removing the bracket changes –100 to +100.

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Question (36)
QN0015147
Which expression is equivalent to 28 + (35 – 10)?
  • (A) 28 – 35 – 10
  • (B) 28 + 35 – 10
  • (C) 28 – 35 + 10
  • (D) 28 + 10 – 35

Correct Answer: B
Explanation:

A bracket preceded by a plus sign can be removed without changing signs.

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Question (37)
QN0015148
Which expression correctly represents twice the amount (43 + 24)?
  • (A) 2 × 43 + 24
  • (B) 2 × (43 + 24)
  • (C) 43 + 24 + 2
  • (D) 2 + 43 + 24

Correct Answer: B
Explanation:

Twice the total amount means multiplying the entire sum by 2.

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Question (38)
QN0015149
Which property is shown by 4 × 5 + 3 × 5 = (4 + 3) × 5?
  • (A) Commutative property
  • (B) Associative property
  • (C) Distributive property
  • (D) Identity property

Correct Answer: C
Explanation:

The common factor 5 is distributed across the sum.

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