MATH 4C: HOMEWORK 7 (Decimal Fractions)
March 22, 2015
Decimal fraction page. Write ON
THIS page.
Write numbers as decimal fractions as in the example:
7+
11 +
9+
+
+
112 +
+
13 +
1010 +
100 +
+
+
+
+
+
= 7.037
+
+
=
+
=
=
+
=
=
=
+
=
=
=
=
+
=
+
= 0.103
Write this portion of your homework on a separate quadrille paper.
1. Write prime factorizations of the following numbers: 72, 90.
2. Rishi was playing a game and has to present 72 as a product of four different single digit
numbers. What he would write?
3. Eney is playing the same game. He has to present 90 as product of 3 single digit numbers
with none of the numbers used by Rishi. What he would write?
4. Now solve this one:
5. In the figure below, Ð a = 30◦. How large are two other angles?
6. In the figure below, Ð a = 30◦ and Ð b is the right angle. Can you find the sizes of all
other angles in the figure?
c
b
a
f
d
e
7. Can you draw a quadrilateral (a figure consisting of 4 points and 4 segments connecting
them) with 3 acute angles?
8. And now, for something completely different... Next page please…
An Ancient Puzzle:
Long ago in a forgotten country of the East there was an oracle. Unlike most oracles it
was not the mouthpiece of a single god but of three, the God of Truth, the God of Falsehood, and
the God of Diplomacy. These gods were represented by three identical figures seated in a row,
and every visitor would receive an answer from one of them. The answers coming from the God
of Truth were always true, the answers coming from the God of Falsehood were certainly untrue,
and the answers coming from the God of Diplomacy might be either true or false. Unfortunately,
no one knew which figure was representing which god. This created a very profitable business
for the priests who, for a price, were always ready to interpret the oracle’s prophesies.
One day a fool came to the oracle and he decided to do what the wisest men of the past
had failed to accomplish, namely to find out which figure is which god.
Said he to the figure on the left, “Who sittest next to thee?”
“The God of Truth”, was the answer.
Then said the fool to the image in the center, “Who art thou?”
“The God of Diplomacy”, was the answer.
Lastly to the image on the right the fool said, “Who sittest next to thee?”
“The God of Falsehood”, came the reply.
“Oh”, said the fool to himself, “so that’s the way of it”.
And he set up his own business interpreting the oracle’s advice and quickly drove the
priests out of business.
Can you, like this fool, determine the identity of each god from the answers they had
given?