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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given expression

[tex]16\times(-16\frac{.}{.}4+8)[/tex]

STEP 2: Explain the order of operations

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Parentheses are also known as brackets.

STEP 3: Evaluate the expression

Using PEMDAS means that we solve the parenthesis first

[tex]\begin{gathered} 16\times(-16\frac{.}{.}4+8) \\ \text{Solving the bracket first} \\ (-16\frac{.}{.}4+8) \\ \\ \text{There are no exponents and multiplication so we move to division} \\ 16\times(-\frac{16}{4}+8)=16\times(-4+8) \\ \text{ We solve the addition next} \\ 16\times(4) \\ \text{Now that we are done solving the parenthesis, we do the only operation left} \\ 16\times4=64 \end{gathered}[/tex]

Hence, the evaluation of the expression gives 64

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