$100 $200 $300 $400 $500 $200 $300 $400 $500 divisibility and gcf primes, composites and rational #...
TRANSCRIPT
$100 $100 $100 $100 $100
$200
$300
$400
$500
$200 $200 $200 $200
$300 $300 $300 $300
$400 $400 $400 $400
$500 $500$500 $500
Divisibility
and GCF
Primes, Composites and Rational #
Scientific Notation
Simplifying Fractions and Problems
Exponents
Divisibility and GCF for $100
Is 68,301 divisible by 9?
Answer
Back
Yes, because 6+8+3+0+1 = 18 and 18 is divisible by 9
Divisibility and GCF for $200
List the factors of 70
1, 2, 5, 7, 10, 14, 35, 70
Answer
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Divisibility and GCF for $300
Write a 5 digit number that is divisible by 3
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.
Answer
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Divisibility and GCF for $400
Find the GCF of 200 and 145
Factor trees!200 = 100*2 = 5*20*2 = 5*5*4*2
= 5*5*2*2*2145 = 5 * 29Thus the GCF is 5 (only factor
in common)
Answer
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Divisibility and GCF for $500
Find the GCF of 56x2y3 and 16x4y
Answer
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56x2y3 = 2*2*2*7 *x*x*y*y*y16x4y = 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
Primes, Composites, and Rational Numbers for $100
Is 57 prime, composite or neither?
Composite – 57 has 1, 3, 19, and 57 as factors.
Answer
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Primes, Composites, and Rational Numbers for $200
Write two numbers that are neither prime, nor composite
Answer1 and 0
1 only has 1 factor0 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)
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Primes, Composites, and Rational Numbers for $400
Evaluate for a = -3 and b = 5:
a-2 * (4b2 – 10)
a-2 * (4b2 – 10) = (-3)-2 * (4*52 – 10)
= (1/9) * (100-10) = (1/9) * 90 = 10
Answer
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Primes, Composites, and Rational Numbers for $500
Explain how to find all of the prime numbers less than a certain number.
AnswerWrite 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
Back
xy/y = x
Simplifying Fractions and Problems for $300
Simplify:
45yz2
36xy2
45yz2 = 3*3*5*y*z*z
36xy2 = 2*2*3*3*x*y*y
3, 3, and y cancel out:
5z2
4xy
Answer
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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?
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.
Answer
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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, SoBO, BY, BG, GR, OY, OG, OR,
YG, YR, GR. = 10 possibilitiesOr, n(n-1)/2
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Exponents for $100
Simplify: 450 *423
Answer
450 * 423 = 450 + 23 = 473
Back
Exponents for $200
Simplify: (2y4)3
(2y4)3 = 23 * y4*3 = 8y12
Answer
Back
Exponents for $300
Simplify: (8x2)/(16x5)
(8x2)/(16x5) = (8/16)(x2/x5) = (1/2)(x2-5) = (1/2)(x-3) = (x-3)/2 or 1/(2x3)
Answer
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Exponents for $400
Simplify:
(x4 * x3 * x5)3
Answer
(x4 * x3 * x5)3
= (x4+3+5)3 = (x12)3 = x12*3 = x36
Back
Exponents for $500
Simplify and write the answer without using a division symbol:
35x5y2
7x7y
Answer
Back
35x5y2 = (35/7)(x5/x7)(y2/y) = 5x-2y7x7y
Scientific Notation for $100
Write the following number using standard notation:
4.56 x 107
Answer
4.56 x 107 => the 107 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
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Scientific Notation for $300
Write 0.0000045 in scientific notation.
Answer0.0000045
= 4.5 x 10-6
Back
Scientific Notation for $400
Write in scientific notation:
35.2 x 1010
Answer
Back
35.2 x 1010 = 3.52 x 1011
Scientific Notation for $500
Simplify – Write your answer using scientific Notation:
(3 x 104) x (5 x 10-8)
Answer
Back
(3 x 104) x (5 x 10-8) = (3*5) * (104 x 10-8)= 15 x 10-4
= 1.5 x 10-3