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8. Simplify [tex]$4 + (-3) - 2 \times (-6)$[/tex]

A. 12
B. -11
C. -10
D. 13


Sagot :

To simplify the expression [tex]\(4 + (-3) - 2 \times (-6)\)[/tex], follow these steps:

1. Perform the multiplication first: According to the order of operations (PEMDAS/BODMAS), start by handling multiplication before addition and subtraction.

[tex]\[ 2 \times (-6) = -12 \][/tex]

2. Simplify the expression: Substitute the result of the multiplication back into the expression.

[tex]\[ 4 + (-3) - (-12) \][/tex]

3. Handle the subtraction of a negative number: Subtracting a negative number is the same as adding the positive of that number.

[tex]\[ 4 + (-3) + 12 \][/tex]

4. Combine the remaining operations:

[tex]\[ 4 - 3 + 12 \][/tex]

5. Add and subtract sequentially:

First perform the subtraction:

[tex]\[ 4 - 3 = 1 \][/tex]

Then, add the result to 12:

[tex]\[ 1 + 12 = 13 \][/tex]

Therefore, the simplified form of the expression [tex]\(4 + (-3) - 2 \times (-6)\)[/tex] is [tex]\(13\)[/tex].

The correct answer is D. 13.
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