Examkin

Soru

Zorluk: KolayProperties of Integers

What is the value of the expression −3×∣−2∣−(−5)-3 \times |-2| - (-5)?

  1. -1Cevap
  2. B
    11
  3. C
    -21
  4. D
    -11

Cevap

The correct answer is -1.
The expression must be solved by first finding the absolute value of −2-2, which is 22. Multiplying −3-3 by 22 gives −6-6. Finally, subtracting −5-5 from −6-6 is the exact same as adding 55 to −6-6, which results in −1-1.

Adım Adım Çözüm

1
Evaluate the absolute value expression.
∣−2∣=2|-2| = 2
Absolute value represents the distance of a number from zero, which is always non-negative.
2
Perform the multiplication.
−3×2=−6-3 \times 2 = -6
According to the order of operations (PEMDAS), multiplication must be completed before addition and subtraction. Multiplying a negative integer by a positive integer yields a negative integer.
3
Perform the subtraction.
−6−(−5)=−6+5=−1-6 - (-5) = -6 + 5 = -1
Subtracting a negative integer is mathematically equivalent to adding its positive counterpart.

Anahtar Kavram

Integer Sign Rules and Order of Operations
Bu soruyu puanla

Konular

Properties of Integers

Bu konudan daha fazla soru