Question
Evaluate the expression.
(-2 + 4₂) x 2
[?]
(-2 + 4₂) x 2
[?]
Answers
Answer
That did not help, it's a school question. Answer it correctly.
Answer
It's not 4! Try again!
Answer
In fact, use Parenthesis, Exponents, Multiply & Divide and Add & Subtract.
Answered by
GPT-4o mini
To evaluate the expression \((-2 + 4_2) \times 2\), let's first clarify what \(4_2\) means. The notation \(4_2\) suggests that \(4\) is in base \(2\) (binary), but \(4\) cannot be represented in base \(2\) because base \(2\) only uses the digits \(0\) and \(1\). However, if we interpret it to mean "the decimal value of the binary number \(4\)", then we would convert the binary number \(4\) (which is \(100_2\)) to decimal.
So let's assume that the problem is actually asking to treat \(4\) as decimal.
Next, we evaluate the expression step-by-step:
1. Calculate \(-2 + 4\):
\[
-2 + 4 = 2
\]
2. Multiply the result by \(2\):
\[
2 \times 2 = 4
\]
Thus, the value of the expression \((-2 + 4) \times 2\) is \(4\).
Final answer:
\[
\boxed{4}
\]
So let's assume that the problem is actually asking to treat \(4\) as decimal.
Next, we evaluate the expression step-by-step:
1. Calculate \(-2 + 4\):
\[
-2 + 4 = 2
\]
2. Multiply the result by \(2\):
\[
2 \times 2 = 4
\]
Thus, the value of the expression \((-2 + 4) \times 2\) is \(4\).
Final answer:
\[
\boxed{4}
\]
Answered by
GPT-4o mini
I apologize for the confusion in my previous response. Let's clarify the expression \(4_2\) as a number in base \(2\) (binary).
To represent the number \(4\) in binary:
1. The number \(4\) in binary is represented as \(100_2\).
Now let's evaluate the expression:
1. Calculate \(4_2\) (which is \(100_2\)):
- In decimal, \(100_2\) equals \(1 \cdot 2^2 + 0 \cdot 2^1 + 0 \cdot 2^0 = 4\).
2. Now, substitute back into the expression:
\[
(-2 + 4) \times 2
\]
3. Perform the addition:
\[
-2 + 4 = 2
\]
4. Finally, multiply by \(2\):
\[
2 \times 2 = 4
\]
Therefore, the final answer is:
\[
\boxed{4}
\]
To represent the number \(4\) in binary:
1. The number \(4\) in binary is represented as \(100_2\).
Now let's evaluate the expression:
1. Calculate \(4_2\) (which is \(100_2\)):
- In decimal, \(100_2\) equals \(1 \cdot 2^2 + 0 \cdot 2^1 + 0 \cdot 2^0 = 4\).
2. Now, substitute back into the expression:
\[
(-2 + 4) \times 2
\]
3. Perform the addition:
\[
-2 + 4 = 2
\]
4. Finally, multiply by \(2\):
\[
2 \times 2 = 4
\]
Therefore, the final answer is:
\[
\boxed{4}
\]
Answered by
GPT-4o mini
I apologize for the misunderstanding in my previous calculations. Let's go through the expression \( (-2 + 4_2) \times 2 \) carefully.
First, we need to interpret \( 4_2 \). The notation suggests that \( 4 \) is in base \( 2 \). However, since numeral \( 4 \) is not a valid digit in base \( 2 \), let's assume \( 4_2 \) was intended to imply a different number.
Upon further consideration, I realize it seems like \( 4_2 \) was possibly meant to mean \( 4 \) from binary representation.
Let's further analyze it, and if we assume the proper interpretation of \( 4 \) from \( 4_2 \):
- Giving \( 4_2 \) means adding \( 4\) from binary representation, we find that no binary number can correctly resolve out to a simple \( 4\).
If we assume \( 4_2\) is to represent 2 in decimal or \( 10_2 \) as the decimal value.
**If we treat \(4_2\) as \(2_{(base 2)}\):**
For evaluation:
\[
(-2 + 4_2) \times 2
\]
Here, \(4_2 = 2\) from binary.
Calculating:
1. Substitute and evaluate:
\[
(-2 + 2) \times 2
\]
2. Now compute:
\[
0 \times 2 = 0
\]
### Therefore, the final answer is:
\[
\boxed{0}
\]
Again, I appreciate your patience, and I'm ready to help if there's any additional clarification or other questions you have!
First, we need to interpret \( 4_2 \). The notation suggests that \( 4 \) is in base \( 2 \). However, since numeral \( 4 \) is not a valid digit in base \( 2 \), let's assume \( 4_2 \) was intended to imply a different number.
Upon further consideration, I realize it seems like \( 4_2 \) was possibly meant to mean \( 4 \) from binary representation.
Let's further analyze it, and if we assume the proper interpretation of \( 4 \) from \( 4_2 \):
- Giving \( 4_2 \) means adding \( 4\) from binary representation, we find that no binary number can correctly resolve out to a simple \( 4\).
If we assume \( 4_2\) is to represent 2 in decimal or \( 10_2 \) as the decimal value.
**If we treat \(4_2\) as \(2_{(base 2)}\):**
For evaluation:
\[
(-2 + 4_2) \times 2
\]
Here, \(4_2 = 2\) from binary.
Calculating:
1. Substitute and evaluate:
\[
(-2 + 2) \times 2
\]
2. Now compute:
\[
0 \times 2 = 0
\]
### Therefore, the final answer is:
\[
\boxed{0}
\]
Again, I appreciate your patience, and I'm ready to help if there's any additional clarification or other questions you have!
Answered by
GPT-4o mini
I apologize for the confusion earlier. It appears that I misunderstood the intention of your question. Given your hint about using PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), let's revisit the expression \( (-2 + 4_2) \times 2 \) and clarify our steps clearly.
### Step 1: Interpret \( 4_2 \)
Assuming \(4_2\) is meant to provide the number in base 2 provided in binary:
- In base \(2\), the highest digit you can use is \(1\), as base \(2\) uses only the digits \(0\) and \(1\). Hence \(4_2\) doesn't directly transfer into a valid binary digit. So, if we treat it as \(base 10\), we can safely assume this confusion and take that value in the simplest decimal as \(4\).
### Given Expression:
Let's resolve:
\[
(-2 + 4) \times 2
\]
### Step 2: Solve using PEMDAS
1. **Parentheses** - Calculate inside the parentheses first:
\[
-2 + 4 = 2
\]
2. **Multiplication** - Now multiply the result by \(2\):
\[
2 \times 2 = 4
\]
### Final Answer:
Thus, the evaluated answer to the expression \( (-2 + 4) \times 2 \) remains:
\[
\boxed{4}
\]
If the input \( 4_2 \) directs back into Binary -> Decimal interpretation of \( 0 \) from above gives us valid confirmation on outputs interpreted correctly in integers or binary. If there lies another variation, could you further reference or elaborate? Thank you for your patience!
### Step 1: Interpret \( 4_2 \)
Assuming \(4_2\) is meant to provide the number in base 2 provided in binary:
- In base \(2\), the highest digit you can use is \(1\), as base \(2\) uses only the digits \(0\) and \(1\). Hence \(4_2\) doesn't directly transfer into a valid binary digit. So, if we treat it as \(base 10\), we can safely assume this confusion and take that value in the simplest decimal as \(4\).
### Given Expression:
Let's resolve:
\[
(-2 + 4) \times 2
\]
### Step 2: Solve using PEMDAS
1. **Parentheses** - Calculate inside the parentheses first:
\[
-2 + 4 = 2
\]
2. **Multiplication** - Now multiply the result by \(2\):
\[
2 \times 2 = 4
\]
### Final Answer:
Thus, the evaluated answer to the expression \( (-2 + 4) \times 2 \) remains:
\[
\boxed{4}
\]
If the input \( 4_2 \) directs back into Binary -> Decimal interpretation of \( 0 \) from above gives us valid confirmation on outputs interpreted correctly in integers or binary. If there lies another variation, could you further reference or elaborate? Thank you for your patience!
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