apply the rules for order of operations to simplify 5 + 2^3 +4 explain your answer
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To simplify the expression 5 + 2^3 + 4 using the rules for order of operations, we follow the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Step 1: Exponents
Start by simplifying the exponent 2^3, which means raising 2 to the power of 3. This gives us 2^3 = 2 * 2 * 2 = 8.
The expression becomes: 5 + 8 + 4.
Step 2: Addition
Next, perform the addition operation from left to right. 5 + 8 equals 13.
The expression becomes: 13 + 4.
Step 3: Addition (continued)
Lastly, perform the remaining addition operation. 13 + 4 equals 17.
Therefore, the simplified expression is 17.
To simplify the expression 5 + 2^3 + 4, we need to apply the rules for the order of operations. The order of operations states that calculations should be done in a specific sequence:
1. Parentheses or brackets: Perform any calculations within parentheses or brackets first.
2. Exponents or powers: Calculate any exponentiation or powers next.
3. Multiplication and division: Perform multiplication and division from left to right.
4. Addition and subtraction: Finally, perform addition and subtraction from left to right.
Now, let's apply these rules to simplify the expression 5 + 2^3 + 4 step by step:
1. Start with the exponentiation: 2^3 = 2 * 2 * 2 = 8.
So, our expression becomes: 5 + 8 + 4.
2. Moving forward, we perform the addition: 5 + 8 = 13.
Now, our expression becomes: 13 + 4.
3. Final step is another addition: 13 + 4 = 17.
Therefore, the simplified form of the expression 5 + 2^3 + 4 is 17.