Mathematics and Currency Units Lecture

Calculation of Factor

To find the factor by which a quantity has been reduced, the following operation is performed:

• Divide the original amount by the new amount.
• In this example, we are dividing 1200 by 0.12.

The calculation is as follows:
$\frac{1200}{0.12} = 10,000$
This indicates that the quantity has been reduced by a factor of 10,000.

Multiple Choice Question on Currency Conversion

• Question: What is the decimal representation of 3 yuan and 5 fen?

The options given in the question are as follows:

1. A: The total amount is represent
2. B: The total amount is represent
3. C: The total amount is represent
4. D: The total amount is represent

Explanation of Currency Conversion:

• In the context of Chinese currency, 1 yuan is equivalent to 10 fen. Therefore, to convert 3 yuan and 5 fen into decimally represented form, the following calculations are necessary:
      - Convert 3 yuan to fen:
  $3 ext{ yuan} = 3 imes 10 = 30 ext{ fen}$
      - Add the 5 fen to this total:
  $30 ext{ fen} + 5 ext{ fen} = 35 ext{ fen}$
      - Now, convert this back to yuan:
  $\frac{35}{10} = 3.5 ext{ yuan}$
  Thus, the decimal representation of 3 yuan and 5 fen is 3.5 yuan. This detail may assist in answering the multiple choice question accurately.