Write a pair of integers whose product is –12 and there lies seven integers between them (excluding the given integers).
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?
Science Application: An atom consists of charged particles called
electrons and protons. Each proton has a charge of +1 and each
electron has a charge of –1. Remember number of electrons is equal
to number of protons, while answering these questions:
(a) What is the charge on an atom?
(b) What will be the charge on an atom if it loses an electron?
(c) What will be the charge on an atom if it gains an electron?
Observe the following patterns and fill in the blanks to make the
statements true:
(a) – 5 × 4 = – 20
– 5 × 3 = – 15 = –20 – ( – 5)
– 5 × 2 = _______ = – 15 – ( –5)
– 5 × 1 = _______ = _______
– 5 × 0 = 0 = _______
– 5 × – 1 = 5 = _______
– 5 × – 2 = _______ = _______
(b) 7 × 4 = 28
7 × 3 = _______ = 28 – 7
7 × 2 = __ __ = _______– 7
7 × 1 = 7 = _______ – 7
7 × 0 = _______ = _______ –________
7 × – 1 = –7 = _______ – _______
7 × – 2 = _______ = _______ – _______
7 × – 3 _______ = _______ – ________
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