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Use the order of operations to find the value of the expression.

2+3×16−2×21−3

(1 point)
Responses

5

5

14

14

35

35

44

1 answer

To evaluate the expression \( 2 + 3 \times 16 - 2 \times 21 - 3 \), we will follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

  1. First, handle the multiplication: \[ 3 \times 16 = 48 \] \[ 2 \times 21 = 42 \]

  2. Substitute these values back into the expression: \[ 2 + 48 - 42 - 3 \]

  3. Now, perform the additions and subtractions from left to right:

    • First do \( 2 + 48 \): \[ 2 + 48 = 50 \]
    • Now subtract \( 42 \): \[ 50 - 42 = 8 \]
    • Finally, subtract \( 3 \): \[ 8 - 3 = 5 \]

So, the value of the expression is \( \boxed{5} \).