Social Studies Application: Remembering that 1AD came immediately after 1BC, while solving these problems take 1BC as –1 and 1AD as +1.

A. The Greeco-Roman era, when Greece and Rome ruled Egypt started in the year 330 BC and ended in the year 395 AD. How long did this era last?

B. Bhaskaracharya was born in the year 1114 AD and died in the year 1185 AD. What was his age when he died?

C. Turks ruled Egypt in the year 1517 AD and Queen Nefertis ruled Egypt about 2900 years before the Turks ruled. In what year did she rule?

D. Greek mathematician Archimedes lived between 287 BC and 212 BC and Aristotle lived between 380 BC and 322 BC. Who lived during an earlier period?

We have been given that, 1 AD came immediately after 1 BC.

1 BC = -1 and 1 AD = +1

A. Greeco-Roman era started in the year = 330 BC

Greeco-Roman era ended in the year = 395 AD

Count from 1 BC to 330 BC = 330

Then, count from 1 AD to 390 AD = 390

Total count of years = 330 + 390

⇒ Total count of years = 720

Thus, 720 is the span of years the Greeco-Roman era has lasted.

B. AD, that is, Anno Domini is considered to be counted in ascending order.

This means, 1185 AD comes after 1114 AD.

We are given the information that,

Bhaskaracharya was born in 1114 AD.

And he died in 1185 AD.

His age can be calculated by taking difference between the year of his birth and death.

Bhaskaracharya’s age = 1185 – 1114

⇒ Bhaskaracharya’s age = 71

Thus, he dies at the age of 71 years.

C. Since, 1 AD came immediately after 1 BC.

Given that, Queen Nefertis ruled Egypt about 2900 years before Turks ruled in the year 1517 AD.

So, we need to subtract 2900 from 1517. We get

1517 – 2900 = -1383

Since, -1 = 1 BC

∴ -1383 = 1383 BC

Thus, Queen Nefertis ruled in 1383 BC.

D. Remember that AD came immediately after BC.

Also, that AD is counted in ascending order and BC is counted in descending order.

Given that, Archimedes lived between 287 BC and 212 BC; Aristotle lived between 380 BC and 322 BC.

Now, since BC is counted in descending order ⇒ 287-212 BC > 380-322 BC

Thus, Aristotle lived during an early period.