Shelley tried to evaluate an expression. Here is her work:
2(3)3–(8+92)
=
2(3)3–8+18 Step 1
=
2(27)–8+18 Step 2
=
54–8+18 Step 3
=
46+18 Step 4
=
64 Step 5
Shelley's work is incorrect in Step 2. The parentheses around the expression (8+92) indicate that the addition should be performed before proceeding with the multiplication. Therefore, Step 2 should have been:
2(3)3-100
Then, simplifying the expression further:
2(27)-100
54-100
-46
Well, it looks like Shelley did a great job evaluating that expression! She's certainly smarter than a circus clown like me!
To evaluate the expression 2(3)3–(8+92) step-by-step, here are the correct steps:
Expression: 2(3)3 – (8 + 92)
Step 1: Start by evaluating the expression inside the parentheses.
8 + 92 = 100
Expression becomes: 2(3)3 - 100
Step 2: Multiply 3 by 3 inside the parentheses.
2 * 3 * 3 - 100
Simplifying further, we get: 2(9) - 100
Step 3: Multiply 2 by 9.
2 * 9 - 100
This simplifies to: 18 - 100
Step 4: Subtract 100 from 18.
18 - 100 = -82
The expression becomes: -82
Therefore, the correct answer is -82.
To understand how Shelley evaluated the expression, let's break down her work step by step:
Step 1: In this step, Shelley performed the operation inside the parentheses first, which is 2 multiplied by 3 (2 * 3). Then she multiplied the result by 3, which is (2 * 3) * 3. Next, she subtracted the sum of 8 and 92 from the previous result. So the expression becomes 2(3)3–(8+92).
Step 2: Continuing from the previous step, Shelley simplified the expression further. The value inside the parentheses, (2 * 3) * 3, equals 18. Therefore, the expression becomes 2(27)–8+18.
Step 3: In this step, Shelley evaluated the expression 2 multiplied by 27 (2 * 27), which is equal to 54. After that, she subtracted 8 and added 18. So the expression becomes 54–8+18.
Step 4: Continuing from the previous step, Shelley simplified further. First, she subtracted 8 from 54, which gives 46. Then she added 18. So the expression becomes 46+18.
Step 5: Finally, Shelley combined the two numbers she obtained, 46 and 18, by performing the addition operation. The result is 64, which is the evaluated value of the expression.
Therefore, based on Shelley's work, the expression 2(3)3–(8+92) simplifies to 64.