Fun Factors and Multiples
The smallest multiple shared by two or more numbers
What is the Least Common Multiple?
A numeric representation of the parts of a whole
This rule is used when multiplying exponential expressions that have the same base.
ax x ay = ax+y
The Product Rule
A natural number greater than 1 that isn’t divisible by anything other than 1 and itself.
What is a Prime Number
The reason that 6 was afraid of 7
Because 7, 8, 9
The smallest prime number
2
The lowest common multiple of two or more denominators
Lowest Common Denominator
This rule is used when dividing exponential expressions that have the same base.
ax ÷ ay = ax-y
The Quotient Rule
A positive integer that can be formed by multiplying together smaller integers other than 1 and itself.
What is a Composite Number
The greatest number of teams possible if a class of 42 boys and 35 girls are split into equal teams so that each team has the same numbers of boys and girls.
Factors of 42: 2, 3, 7
Factors of 35: 5, 7
You can split the students into 7 teams (6 boys and 5 girls per team)
The Least common multiple of 10 and 25.
LCM(10,25)=?
Factors of 10: 5, 2
Factors of 25: 5, 5
LMC (10,25)=5x2x5=50
The value of 0.8125 when converted into a percentage and a fraction
Percentage: 0.8125 x 100 = 81.25%
Fraction:
(81.25/100) x (4/4)
= 325/400
= 13/16
This rule is used when raising an exponential expression by another exponent.
(ax)y = ax
The Power Rule
Numbers we can multiply together to get another number.
The ratio of red marbles to blue marbles in a bag that is 1/3 red marbles, 1/5 yellow marbles, and 7/15 blue marbles.
5:7
The greatest common factor between 54, 90, and 126
Factors of 54: 2, 3, 3, 3
Factors of 90: 2, 3, 3, 5
Factors of 126: 2, 3, 3, 7
GCF: (2 x 3 x 3) = 18
The fraction that lies exactly halfway between 5/6 and 6/7
71/84
1
What we get after multiplying a number by an integer.
What is a multiple
The total ticket revenue of a show if the performer made $1200 from a 8% commission.
$15,000
The prime factorization of 531
3*3*59
The value of x if the ratio of x:y is 5:2 and the difference between x and y is equal to 21
x/y = 5/2
x - y = 21
y = x - 21
x/(x - 21) = 5/2
2x/(x - 21) = 5
2x = 5x - 105
3x = 105
x = 35
Which expression is equivalent to a-5?
a) a/5
b) -a5
c) 1/a5
d)1/a-5
c) 1/a5
What we get after dividing a number by an integer
What is a quotient
The equation that models the growth rate of a population of bears in the forest given the population of bears will be 112 after 1 year and grows at a rate of 60% per year.
n = current number of bears
a = original population of bears
t = time in years
p = growth per year = 60%
n = a (1 + p/100)t
112 = a (1 + 60/100)1
112 = a (1.6)
a = 112/1.6 = 70
n = 70 + (1.6)t