Prime Factorization
Write the prime factorization for:
27
3^3
Find the greatest common factor of the numbers and tell whether they are relatively prime:
25, 75
25; not relatively prime
Write two fractions that are equivalent to 12/20
answers will vary
Use the LCD to determine which fraction is greater.
3/5, 8/15
3/5
Worth 200: Find the product: Write your answer using positive exponents
2^11 * 2^3
&
5x * 4x^9
2^14
20x^10
Write the prime factorization for:
84
2^2*3*7
Find the greatest common factor of the numbers and tell whether they are relatively prime:
30, 49
1; relatively prime
Write the fraction in simplest form:
27/90
3/10
Use the LCD to determine which fraction is greater.
3/35 and 7/45
7/45
Worth 400: Find the Quotient. Write your answer using positive exponents:
7^6/7^9
&
4w^15/24w^3
1/7^3
w^12/6
Factor the monomial:
36a^4b^3
2*2*3*3*a*a*a*a*b*b*b
Find the GCF of the monomials:
6x, 15x
3x
Write the fraction in simplest form:
46/60
23/30
You and your friend are on different soccer teams. this season, your team won 14 out of 20 games. Your friend's team won 18 out of 24 games. Which team won a greater fraction of its games?
Your friend's team
Worth 400:
Write the numbers in standard form:
8.97 X 10^-9
and
5.1 x 10^9
.00000000897
5,100,000,000
Factor the monomial:
72w^6z
2*2*2*3*3*w*w*w*w*w*w*z
Find the GCF of the monomials:
7xy^3, 28xy^2
7xy^2
Write the fraction in simplest form:
8xy/16y
x/2
Find the LCM of the numbers or monomials:
10, 24
120
Worth 500:
Write the number in scientific notation:
6,450,000,000,000
&
.00000093
6.45 x 10^12
9.3 x 10^-7
Which number is not prime?
7, 37, 53, or 57
57
You want to make woven plastic bracelets. You have 3 pieces of plastic lacing with lengths 45 cm, 75 cm, and 60 cm. You need to cut the lacing into pieces of the same length. What is the greatest possible length each piece can be without any lacing being wasted?
15 cm
12a^2/2ab
6a/b
Find the LCM of the numbers or monomials:
6m^2, 10m^3
30m^3
A square has a side length of 4x^6 centimeters. Represent the area of the square using exponents.
16x^12 cm^2