Transcript Jeapordy - Chapter 4

Divisibility
and GCF
Primes,
Composites
and Rational #
Simplifying
Fractions and
Problems
Exponents
Scientific
Notation
$100 $100 $100 $100 $100
$200 $200 $200 $200 $200
$300 $300 $300 $300 $300
$400 $400 $400 $400 $400
$500 $500 $500 $500 $500
Divisibility and GCF for $100
Is 68,301 divisible by 9?
Answer
Yes, because 6+8+3+0+1 = 18
and 18 is divisible by 9
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Divisibility and GCF for $200
List the factors of 70
Answer
1, 2, 5, 7, 10, 14, 35, 70
Back
Divisibility and GCF for $300
Write a 5 digit number that
is divisible by 3
Answer
Answers vary, but the sum
of the digits must be
divisible by 3. i.e. 31,260 =
3+1+2+6+0 = 12. Since 12
is divisible by 3, 31,260 is
also divisible by 3.
Back
Divisibility and GCF for $400
Find the GCF of 200 and
145
Answer
Factor trees!
200 = 100*2 = 5*20*2 = 5*5*4*2
= 5*5*2*2*2
145 = 5 * 29
Thus the GCF is 5 (only factor
in common)
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Divisibility and GCF for $500
Find the GCF of
56x2y3 and 16x4y
Answer
56x2y3 = 2*2*2*7 *x*x*y*y*y
16x4y = 2*2*2*2*x*x*x*x*y
Top and bottom have 2, 2, 2, x, x, y
in common, so the GCF is 8x2y
Back
Primes, Composites, and
Rational Numbers for $100
Is 57 prime, composite
or neither?
Answer
Composite – 57 has 1, 3,
19, and 57 as factors.
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Primes, Composites, and
Rational Numbers for $200
Write two numbers that
are neither prime, nor
composite
Answer
1 and 0
1 only has 1 factor
0 cannot be made by
multiplying 2 non-zero
numbers together.
Back
Primes, Composites, and
Rational Numbers for $300
Graph the number (5/7)
on a number line
Answer
(5/7)
Back
Primes, Composites, and
Rational Numbers for $400
Evaluate for a = -3 and b = 5:
-2
a *
2
(4b
– 10)
Answer
a-2 * (4b2 – 10) = (-3)-2 * (4*52 – 10)
= (1/9) * (100-10) = (1/9) * 90 = 10
Back
Primes, Composites, and
Rational Numbers for $500
Explain how to find all of
the prime numbers less
than a certain number.
Answer
Write out all the numbers 1 to the
number. Then, find all the prime
numbers less than the square root of
the number. Then cross off all the
multiples of the primes less than the
square root. The numbers left are
prime numbers.
Back
Simplifying Fractions and
Problems for $100
Simplify:
21/33
Answer
21/33 = (7*3)/(11*3) = 7/11
Back
Simplifying Fractions and
Problems for $200
Simplify: xy/y
Answer
xy/y = x
Back
Simplifying Fractions and
Problems for $300
Simplify:
2
45yz
2
36xy
Answer
2
45yz =
3*3*5*y*z*z
2
36xy = 2*2*3*3*x*y*y
3, 3, and y cancel out:
2
5z
4xy
Back
Simplifying Fractions and
Problems for $400
Crystal wants to put a fence
around her vegetable garden.
Her garden is 5 ft wide and 4 ft
long. She plans to put a post at
each corner and at every foot.
How many fence posts will
Crystal need?
Answer
There will be 6 posts on
each width and 5 posts on
each length = 6+6+5+5 =
22. However, this means
the four corners are
repeated, so 22-4 = 18
posts.
Back
Simplifying Fractions and
Problems for $500
Jane has 5 marbles in her
pocket. She has one blue,
one orange, one yellow,
one green and one red. If
she chooses two without
looking, how many
possibilities are there?
Answer
Possibilities are B,O,Y,G,R, So
BO, BY, BG, GR, OY, OG, OR,
YG, YR, GR. = 10 possibilities
Or, n(n-1)/2
Back
Exponents for $100
Simplify: 450 *423
Answer
50
4
*
23
4
=
50
+
23
4
=
73
4
Back
Exponents for $200
Simplify: (2y4)3
Answer
4
3
(2y )
=
3
2 *
4*3
y
=
12
8y
Back
Exponents for $300
Simplify: (8x2)/(16x5)
Answer
(8x2)/(16x5) = (8/16)(x2/x5) = (1/2)(x2-5)
= (1/2)(x-3) = (x-3)/2 or 1/(2x3)
Back
Exponents for $400
Simplify:
(x4 * x3 * x5)3
Answer
4
(x
*
3
x
*
5
3
x)
= (x4+3+5)3 = (x12)3 = x12*3 = x36
Back
Exponents for $500
Simplify and write the
answer without using a
division symbol:
5
2
35x y
7
7x y
Answer
35x5y2 = (35/7)(x5/x7)(y2/y) = 5x-2y
7x7y
Back
Scientific Notation for $100
Write the following number using
standard notation:
4.56 x 107
Answer
7
7
4.56 x 10 => the 10 causes the
decimal to move to the right 7
places
45,600,000
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Scientific Notation for $200
Write the following number
using scientific notation:
2355000
Answer
2355000 => The decimal point
goes between the 2 and 3
because it goes after the first
non zero number. This moves it
6 places from the original spot,
so. = 2.355 x 106
Back
Scientific Notation for $300
Write 0.0000045 in scientific
notation.
Answer
0.0000045
= 4.5 x
-6
10
Back
Scientific Notation for $400
Write in scientific notation:
35.2 x 1010
Answer
35.2 x 1010 = 3.52 x 1011
Back
Scientific Notation for $500
Simplify – Write your answer using
scientific Notation:
(3 x 104) x (5 x 10-8)
Answer
(3 x 104) x (5 x 10-8)
= (3*5) * (104 x 10-8)
= 15 x 10-4
= 1.5 x 10-3
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