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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

3 answers

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.

Is it A, B, C, D or E

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.