Chapter 9
Unit & Currency Conversion
Unit conversions, cross-currency exchange rates, multi-step conversions
9.1 Common unit conversions
1 km² = 1 000 000 m² 1 tonne = 1 000 kg 1 GWh = 1 000 MWh = 1 000 000 kWh 1 billion = 1 000 million = 10⁹
9.2 Direct currency conversion
A → B: amount in A × rate B → A: amount in B ÷ rate
Example: 1 GBP = 1.17 EUR. £3 500 → €4 095. €2 340 → £2 000.
9.3 Cross-currency conversion (via bridge)
Amount in C = Amount in A × rate(A→B) × rate(B→C)
Example: 1 USD = 0.93 EUR; 1 EUR = 7.46 DKK. $800 → 800 × 0.93 × 7.46 = 5 550.24 DKK.
9.4 Currency appreciation and depreciation
New rate = Old rate × (1 + change/100) for appreciation New rate = Old rate × (1 − change/100) for depreciation
Example: 1 AUD = 0.62 USD. AUD appreciates 8%. New rate = 0.62 × 1.08 = 0.6696.