Transcript Find the GCF of the monomials
Factors & GCF Equivalent Fractions Rules of Exponents Negative & 0 Exponents Scientific Notation
List the factors of the following monomial: 10x
2
y
3
z
4 100 2 · 5 · x · x · y · y · y · z · z · z · z
Find the greatest common factor (GCF) of the monomials: 32xy, 20y 2 4y 200
Find the GCF of the monomials: 16a 2 b 3 c 4 , 28ab 4 c 3 4ab 3 c 3 300
You work at a fruit stand. You are putting fruit baskets together. You have 30 oranges, 24 bananas, 42 apples, and 12 peaches. What is the greatest number of identical fruit baskets you can make if you use all the fruit?
400 6 fruit baskets
Find the GCF of the monomials: 65x 2 y 2 z 2 , 60xyz 2 , 98x 2 z 3 xz 2 500
Write the fraction in simplest form: 1
2 46
Is this fraction equivalent to: 6 23 ; yes 24 92 100
Write the fraction in simplest form.
135mn 4 50n 2 27mn 2 10 200
Write the fraction below in simplest form: 36x 5 y 3 42xy 4 300 6x 4 7y
Write the fraction in simplest form: 14a 2 b 4 c 7 49ab 6 c 3 2ac 4 7b 2 400
Write the fraction in simplest form: 32x 2 y 2 64x 5 y 5 1 1 2x 3 y 3 500
Find the product. Write your answer using exponents.
5 4 ·5 3 ·5 2 100 5 9
Find the missing exponent.
m ?
m 9 = m 15 24 200
Simplify.
18s 5 · s 2 15s 4 6s 3 5 300
Find the area of the rectangle: 6x 3 yz 7x 2 y 3 z 2 400 42x 5 y 4 z 3
Simplify.
10q 2 r·12q 4 t 7 36r 2 t 2 ·25q 3 r 3 2q 3 t 5 15r 4 500
Find the product. Write your answer using only positive exponents.
v -10 ·v 6 1 v 4 100
Write the expression without using a fraction bar.
42p 6 r 11 42p 6 r -11 200
Find the quotient. Write your answer using only positive exponents.
28w -41 35w -26 300 __4__ 5w 15
Find the product . Write your answer using only positive exponents.
7b 7 c -10 d 0 · 9b -12 c -5 d 5 400 63d 5 b 5 c 15
Without doing the calculations, determine which is greater, 14 -2 or 2 14 . Explain how you know your answer is correct.
2 14 2 14 > 14 -2 because > 1 and 14 -2 < 1.
500
Write the following in scientific notation.
1) 545,360,000
2) 0.000003579
100 1) 5.4536 x 10 8 2) 3.579 x 10 -6
Write the following in standard form.
1) 8.4574 x 10 8 2) 6.89 x 10 -7 200 1) 845,740,000 2) .000000689
Write the number in scientific notation.
1) Volume (in cubic kilometers) of water in Lake Superior: 12,100 2) Approximate density (in grams per milliliter) of one nitrogen atom: 0.001251
300 1) 1.21 x 10 4 2) 1.251 x 10 -3
Order the numbers from least to greatest.
2.6 x 10 4 , 3500, 9.2 x 10 4 400 3500, 2.6 x 10 4 , 9.2 x 10 4
Find the product. Write your answer in scientific notation.
(7.2 x 10 2 )(3 x 10 5 ) 500 2.16 x 10 8
The Final Jeopardy Category is: Please record your wager.
Find the value of n that makes the statement below true and explain how you found your answer.
2
3n+1
2
-4
= 2
17 4; Subtract the exponents on the left-hand side to get 3n + 5. Then set 3n + 5 = 17 and solve for
n
.