Create an equivalent expression for 9−7 • 95.
a) −92
b) one over nine raised to the second power
c) one over nine raised to the power of negative two
d) 92
a) −92
To create an equivalent expression for 9−7 • 95, we can follow the order of operations (PEMDAS). According to the order of operations, we need to first perform the multiplication before subtraction.
So, 9−7 • 95 can be rewritten as 9−(7 • 95).
Now, we can perform the multiplication: 7 • 95 = 665.
Substituting this value back into the expression, we have 9−665.
Performing the subtraction: 9 − 665 = -656.
Therefore, the equivalent expression for 9−7 • 95 is -656.
The correct option would be d) 92.
To find an equivalent expression for 9 - 7 • 95, let's break it down step by step:
Step 1: The expression involves multiplication and subtraction. According to the order of operations (PEMDAS/BODMAS), we need to perform the multiplication before subtraction.
Step 2: Start by calculating 7 • 95:
7 • 95 = 665
Step 3: Now, substitute the calculated value into the original expression:
9 - 665
Step 4: Finally, subtract 665 from 9:
9 - 665 = -656
So, the equivalent expression for 9 - 7 • 95 is -656.
Among the answer choices provided:
a) -92 is not equivalent to -656
b) "one over nine raised to the second power" is not relevant to the original expression
c) "one over nine raised to the power of negative two" is not relevant to the original expression
d) 92 is not equivalent to -656
None of the answer choices accurately match the equivalent expression.