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Zorluk: KolayOrder of Operations and Number Properties

What is the value of the expression 4×(1−3)2−10÷24 \times (1 - 3)^2 - 10 \div 2?

  1. A
    −21-21
  2. B
    33
  3. 1111Cevap
  4. D
    2727
  5. E
    5959

Cevap

11
Evaluating the expression following PEMDAS rules: first compute inside the parentheses to get −2-2, then square it to get 44. Next, perform multiplication (4×4=164 \times 4 = 16) and division (10÷2=510 \div 2 = 5). Finally, subtract the division result from the multiplication result (16−5=1116 - 5 = 11).

Adım Adım Çözüm

1
Evaluate the expression inside the parentheses.
1−3=−21 - 3 = -2
According to the order of operations (PEMDAS), parentheses must be evaluated first.
2
Evaluate the exponent.
(−2)2=4(-2)^2 = 4
Exponents are evaluated after parentheses and before multiplication or division.
3
Perform the multiplication and division from left to right.
4×4=164 \times 4 = 16 and 10÷2=510 \div 2 = 5
Multiplication and division have equal priority and are performed from left to right.
4
Perform the subtraction.
16−5=1116 - 5 = 11
Addition and subtraction have the lowest priority and are performed last.

Anahtar Kavram

Order of Operations (PEMDAS)
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Konular

Order of Operations and Number Properties

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