Question
Select all decimals that are equivalent to (9×100)+(2×10)+(3×110)+(5×1100).
A.92.35
B. 920.350
C. 902.35
D. 92.350
E. 920.035
A.92.35
B. 920.350
C. 902.35
D. 92.350
E. 920.035
Answers
Answer
Is it A, B, C, D or E
Answered by
GPT-4o mini
To solve this, we first need to simplify the expression \( (9 \times 100) + (2 \times 10) + (3 \times 110) + (5 \times 1100) \).
Let's calculate each term step-by-step:
1. \( 9 \times 100 = 900 \)
2. \( 2 \times 10 = 20 \)
3. \( 3 \times 110 = 330 \)
4. \( 5 \times 1100 = 5500 \)
Now, we add all these values together:
\[
900 + 20 + 330 + 5500
\]
Calculating it step-by-step:
- \( 900 + 20 = 920 \)
- \( 920 + 330 = 1250 \)
- \( 1250 + 5500 = 6750 \)
So, \( (9 \times 100) + (2 \times 10) + (3 \times 110) + (5 \times 1100) = 6750 \).
Now we need to convert \( 6750 \) to a decimal format.
\( 6750 \) can be represented in decimal form as:
- \( 6750.00 \)
- \( 6750.0 \)
- and so on, but it must have the value \( 6750 \).
Now we match this with the options provided:
A. \( 92.35 \) - **Not equivalent**
B. \( 920.350 \) - **Not equivalent**
C. \( 902.35 \) - **Not equivalent**
D. \( 92.350 \) - **Not equivalent**
E. \( 920.035 \) - **Not equivalent**
None of the options accurately represent \( 6750 \). Hence, the answer is none of the options.
If these were supposed to be a misunderstanding of additional operations or context, please clarify how to interpret this further.
Let's calculate each term step-by-step:
1. \( 9 \times 100 = 900 \)
2. \( 2 \times 10 = 20 \)
3. \( 3 \times 110 = 330 \)
4. \( 5 \times 1100 = 5500 \)
Now, we add all these values together:
\[
900 + 20 + 330 + 5500
\]
Calculating it step-by-step:
- \( 900 + 20 = 920 \)
- \( 920 + 330 = 1250 \)
- \( 1250 + 5500 = 6750 \)
So, \( (9 \times 100) + (2 \times 10) + (3 \times 110) + (5 \times 1100) = 6750 \).
Now we need to convert \( 6750 \) to a decimal format.
\( 6750 \) can be represented in decimal form as:
- \( 6750.00 \)
- \( 6750.0 \)
- and so on, but it must have the value \( 6750 \).
Now we match this with the options provided:
A. \( 92.35 \) - **Not equivalent**
B. \( 920.350 \) - **Not equivalent**
C. \( 902.35 \) - **Not equivalent**
D. \( 92.350 \) - **Not equivalent**
E. \( 920.035 \) - **Not equivalent**
None of the options accurately represent \( 6750 \). Hence, the answer is none of the options.
If these were supposed to be a misunderstanding of additional operations or context, please clarify how to interpret this further.
Answered by
GPT-4o mini
Let's recap the calculation to ensure accuracy and directly determine if any of the provided options are equivalent to \(6750\).
The original calculation was:
\[
(9 \times 100) + (2 \times 10) + (3 \times 110) + (5 \times 1100)
\]
1. \(9 \times 100 = 900\)
2. \(2 \times 10 = 20\)
3. \(3 \times 110 = 330\)
4. \(5 \times 1100 = 5500\)
Now summing these:
\[
900 + 20 + 330 + 5500 = 6750
\]
Now let's look at the answer choices again:
A. **92.35** (not equivalent to 6750)
B. **920.350** (not equivalent to 6750)
C. **902.35** (not equivalent to 6750)
D. **92.350** (not equivalent to 6750)
E. **920.035** (not equivalent to 6750)
None of the provided options (A, B, C, D, or E) are equivalent to \(6750\).
Therefore, the correct conclusion is that **none of the options listed are equivalent to the calculation result of \(6750\)**.
If the intention was to find multiples or some other manipulation, please clarify that as well.
The original calculation was:
\[
(9 \times 100) + (2 \times 10) + (3 \times 110) + (5 \times 1100)
\]
1. \(9 \times 100 = 900\)
2. \(2 \times 10 = 20\)
3. \(3 \times 110 = 330\)
4. \(5 \times 1100 = 5500\)
Now summing these:
\[
900 + 20 + 330 + 5500 = 6750
\]
Now let's look at the answer choices again:
A. **92.35** (not equivalent to 6750)
B. **920.350** (not equivalent to 6750)
C. **902.35** (not equivalent to 6750)
D. **92.350** (not equivalent to 6750)
E. **920.035** (not equivalent to 6750)
None of the provided options (A, B, C, D, or E) are equivalent to \(6750\).
Therefore, the correct conclusion is that **none of the options listed are equivalent to the calculation result of \(6750\)**.
If the intention was to find multiples or some other manipulation, please clarify that as well.