# POWERPOINT JEOPARDY - PowerPoint PPT Presentation

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## POWERPOINT JEOPARDY

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### We know this because the decimals are non-repeating. ... POWERPOINT JEOPARDY Subject: Jeopardy Template Author: Educational Technology Network Keywords: – PowerPoint PPT presentation

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Title: POWERPOINT JEOPARDY

1
Extending the Number System
2
POWERPOINT JEOPARDY
Real World Problems
Complex Number i
Mystery ??
Rational vs. Irrational
Rational Exponents
10
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20
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30
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3
What do rational exponents represent?
4
• Roots
• Is square roots a correct answer?

5
Rewrite the following expression using rational
exponents, then simplify it
6
(No Transcript)
7
Simplify the following expression using your
knowledge of rational exponents.
(-3y1/3)(-2y1/2)
8
6y5/6
9
True or False??
10
True
11
True or False??
12
True
13
Rational Rational?? Irrational Irrational ??
14
Rational Irrational and rational example v2 -
v2 0
15
Rational Irrational??
16
Irrational Is this always the case?
17
Are Irrational numbers Real? That is can we place
them on a number line? Give an example.
18
Yes, irrational numbers are real we can place
them on a number line. (Recall the ruler
activity).
19
Draw a right triangle with an irrational
hypotenuse length.
20
21
Define rational number. Define irrational
number, and give an example.
22
Rational number def A number that can be
written in the form a/b, where a, b are integers
and b? 0 Irrational number def a number that
cannot be written in the form a/b, where a, b are
integers and b? 0. An irrational number has a
non-repeating decimal. Example pi, sqrt 2, sqrt
15
23
Simplify the expression 8-4/3
24
1/16
25
Rewrite the following in radical form
a(b41)-1/2
26
(No Transcript)
27
• Which letters represent irrational numbers and
why?
• 3.1415926454..
• .66666666
• .7317311731117311111
• .123123123123

28
a. and c. represent irrational numbers. We know
this because the decimals are non-repeating.
29
Simplify i49
30
i
31
Simplify (76i)(3-2i)(3i)
32
-1299i
33
Simplify i14
34
i2
35
Simplify (23i)(4-i)
36
62i
37
Simplify (74i)-(8-3i)
38
17i
39
Simplify Define a complex number
40
Any number abi where a and b are real numbers.
41
Simplify (57i)(6-7i)
42
797i
43
Cindy has a piece of ribbon that is 4/5 of a foot
long. How long would each piece be if she cut the
ribbon in half?
44
Each half of the ribbon would be 4.8 inches long
45
Tool box problem Longest Screwdriver A toolbox
has length L, width W, and height H. The
length D of the longest screwdriver that will
fit inside the box is given by D (L2 W2
H2)1/2 Find the length of the longest
screwdriver that will fit in a 4 in. by 6 in.
by 12 in. box.
46
14 inches
47
Find the error (24i)(3-6i) 6-12i12i-24i 6-24
i
48
(24i)(3-6i) 6-12i12i-24i2 6-24(-1) 30
49
Where do irrational numbers originate from? What
happened to the man who promoted irrational
numbers?
50
Irrational numbers originate from mathematicians
who were working with the Pythagorean Theorem.
They discovered that a right triangle with legs
of unit length 1 would have a hypotenuse of the
square root of two. The man who promoted
irrational numbers, Greek mathematician Hippasus,
was taken to sea and never returned!
51
Jared wants to cut a rectangle of paper
diagonally. He wants the diagonal to be square
root 5 inches in length. What lengths, in inches,
do each of the sides of the rectangle need to be
to give Jared the diagonal that he wants?
52
The sides of the rectangle need to be the square
root of 4 inches and 1 inch.