Final answer:
Without additional data such as nominal and real GDP values for 2000 and 2010, it is not possible to calculate the GDP deflator index number for the year 2000 using 2010 as the base year. The base year's deflator index is always 100, as nominal and real GDP are equal in the base year.
Step-by-step explanation:
The question pertains to the GDP price deflator, an important economic index that measures the level of prices of all new, domestically produced, final goods and services in an economy. The formula for the GDP deflator is Nominal GDP divided by Real GDP, and then multiplied by 100. When a new base year is set, all previous GDP deflator values are recalculated according to the prices in the new base year. The base year itself always has a value of 100 for the deflator index since nominal and real GDP are equal in the base year by definition.
To calculate the GDP deflator index number for the year 2000 using 2010 as the base year, more information is needed, such as the nominal and real GDP values for 2000 and 2010. Without these data points, we cannot determine the correct value of the GDP deflator index for 2000 based on the provided information.