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Use the order of operations to evaluate this expression:

[tex]
7+(5-9)^2+3(16 \div 8)
[/tex]

The value of the expression is [tex]\square[/tex]

Sagot :

GinnyAnswer
Sure, let's evaluate the expression [tex]\( 7 + (5 - 9)^2 + 3(16 \div 8) \)[/tex] step-by-step using the order of operations (PEMDAS/BODMAS):

1. Parentheses: Perform operations inside parentheses first.
[tex]\[ 5 - 9 = -4 \][/tex]

So, the expression now is:
[tex]\[ 7 + (-4)^2 + 3(16 \div 8) \][/tex]

2. Exponents: Next, evaluate the exponent.
[tex]\[ (-4)^2 = 16 \][/tex]

So, the expression now is:
[tex]\[ 7 + 16 + 3(16 \div 8) \][/tex]

3. Division: Perform the division inside the parentheses.
[tex]\[ 16 \div 8 = 2 \][/tex]

So, the expression now is:
[tex]\[ 7 + 16 + 3 \cdot 2 \][/tex]

4. Multiplication: Perform the multiplication.
[tex]\[ 3 \cdot 2 = 6 \][/tex]

So, the expression now is:
[tex]\[ 7 + 16 + 6 \][/tex]

5. Addition: Finally, perform the addition from left to right.
[tex]\[ 7 + 16 = 23 \][/tex]
[tex]\[ 23 + 6 = 29 \][/tex]

Therefore, the value of the expression is [tex]\( \boxed{29} \)[/tex].
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