No, the instructions are not correct. According to the given instructions, the expression should be solved as follows:
1. Square 6.5: (6.5)² = 42.25
2. Add 8.5 to this number: 42.25 + 8.5 = 50.75
3. Divide the sum by 2: 50.75 ÷ 2 = 25.375
4. Square the quotient: (25.375)² = 644.765625
However, the actual expression is 6.5² + 8.5 ÷ 2².
In the actual expression, the order of operations should be followed, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Using PEMDAS, we would solve the expression as follows:
1. Solve the exponent: 6.5² = 42.25
2. Solve the exponent: 2² = 4
3. Divide: 8.5 ÷ 4 = 2.125
4. Add: 42.25 + 2.125 = 44.375
So, the correct answer is 44.375.
write
The instructions given are incorrect and the correct solution is 44.375.
The correct steps for solving the expression 6.5² + 8.5 ÷ 2² are as follows:
1. Solve the exponent: 6.5² = 42.25.
2. Evaluate the exponent: 2² = 4.
3. Perform the division: 8.5 ÷ 4 = 2.125.
4. Add the results: 42.25 + 2.125 = 44.375.
Therefore, the correct answer to the expression 6.5² + 8.5 ÷ 2² is 44.375.
The given expression 6.5² + 8.5 ÷ 2² can be solved using the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right), often referred to as PEMDAS.
Let's go step by step:
Step 1: Solve the exponent:
6.5² = 6.5 × 6.5 = 42.25
Now, we have 42.25 + 8.5 ÷ 2²
Step 2: Solve the division:
8.5 ÷ 2 = 4.25
Now, we have 42.25 + 4.25
Step 3: Perform addition:
42.25 + 4.25 = 46.5
So, the correct answer to the expression 6.5² + 8.5 ÷ 2² is 46.5.