Final answer:
The metric abbreviation for 43.32 × 10^9 decigrams is Mdag (megadagrams).
Step-by-step explanation:
The metric abbreviation for 43.32 × 109 decigrams is:
Prefix abbreviation: Mdag
Unit abbreviation: Mg
To determine the metric abbreviation for a given quantity, we need to convert the quantity to the base unit and then apply the appropriate metric prefix abbreviation.
Given that the base unit for mass is the gram (g), we can convert 43.32 × 109 decigrams to grams by using the conversion factor 1 decigram (dg) = 0.1 gram (g).
Therefore, 43.32 × 109 dg = (43.32 × 109) × (0.1 g/dg) = 4.332 × 109 g.
To express this quantity using metric prefixes, we can apply the prefix 'mega' which represents a factor of 106. Therefore, 4.332 × 109 g can be written as 4.332 Mg (megagrams) or 4.332 × 106 kg (kilograms).
Since we are asked for the metric abbreviation in terms of the base unit gram (g), the metric abbreviation for 43.32 × 109 g is Mdag (megadagrams).