Fill in the correct number to 3 decimals to correctly translate the forex quotation into words.

OZR/PDS = 0.914

One PDS is worth ________ OZR.

Question

Fill in the correct number to 3 decimals to correctly translate the forex quotation into words.

OZR/PDS = 0.914

One PDS is worth ________ OZR.

BlackTom AI · Accepted Answer

OZR/PDS = 0.914 means 1 OZR = 0.914 PDS (base currency OZR priced in quote currency PDS).

Relevant concepts:
- Forex pairs are quoted as base/quote = price, meaning 1 unit of the base equals the quoted amount of the quote currency.
- To find how much one unit of the quote currency is worth in the base currency, take the reciprocal (invert the quotation).
- Round the final result to three decimal places.

Step-by-step reasoning and calculation:
1. Start from the quotation: 1 OZR = 0.914 PDS.
2. To express 1 PDS in OZR, compute the reciprocal: 1 PDS = 1 / 0.914 OZR.
3. Compute 1 / 0.914. Multiply numerator and denominator by 1000 to avoid decimals: 1 / 0.914 = 1000 / 914 = 500 / 457.
4. Perform long division of 500 by 457 to get decimal expansion:
   - 457 goes into 500 once → 1 remainder 43.
   - Bring down 0 → 430 → 0 (digit) remainder 430.
   - Bring down 0 → 4300 → 9 (9×457=4113) remainder 187.
   - Bring down 0 → 1870 → 4 (4×457=1828) remainder 42.
   - Continue: next digits → 0, 9, 1, 9,... giving 500/457 ≈ 1.094090...
5. Round to three decimal places: the thousandths digit is 4 and the next digit (ten-thousandths) is 0, so rounding yields 1.094.

Why this is correct:
- Inversion is the correct operation because the quoted price gives value of the base in terms of the quote; to reverse the direction you take the reciprocal.
- The arithmetic 1/0.914 = 500/457 and the long division confirm the decimal expansion and rounding.

Why other possible answers are incorrect:
- 0.914 would be the value of 1 OZR in PDS, not 1 PDS in OZR.
- Any non-inverted value (like 1.000 or other numbers) fails to compute the reciprocal and/or correct rounding.

Final confirmation: One PDS is worth 1.094 OZR, which matches the provided correct answer.

Fill in the correct number to 3 decimals to correctly translate the forex quotation into words. OZR/PDS = 0.914 One PDS is worth ________ OZR.Short answer

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