Transcript math - carnegie - chapter 2 - quiz review

CHAPTER 2 QUIZ REVIEW
FIND THE LCM
6 and 14
ANSWER:
LCM = 42
6=2x3
 14 = 2 x 7
 LCM = 2 x 3 x 7

FIND THE GCF.
54 and 117
ANSWER:
GCF = 9
 54 = 2 x 3 x 3 x 3
 117 = 3 x 3 x 13
Tell whether the number is
divisible by 2, 3, 4, 5, 6, 9 or 10.
1,125
ANSWER:
1, 125 is divisible by:
3, 5, and 9
1 + 1 + 2 + 5 = 9 and 9 is
divisible by 3 and 9
1,125 has a 5 in ones place, so
is divisible by 5
SOLVE.
Film Schedule
Feature
Length
Cartoons
24 minutes
Action
60 minutes
Comedy
48 minutes
Short films are shown continuously at
the state fair. If the three films start
together at 9:00AM, what time will it be
when they all start at the same time
again?
ANSWER:
1:00 PM
24 = 2 x 2 x 2 x 3
60 = 2 x 2 x 3 x 5
48 = 2 x 2 x 2 x 2 x 3
LCM = 24 x 3 x 5 = 240
240 ÷ 60 = 4 hours
9AM + 4 hours = 1 PM
SOLVE.
Chris wants to buy storage boxes
that are all the same height and
can be stacked on 24-inch or 30
inch shelves with no spare space
above or below. What is the tallest
box that will work?
ANSWER:
The tallest box that
will work is 6 inches
tall.
24 = 2 x 2 x 2 x 3
30 = 2 x 3 x 5
GCF = 2 x 3 = 6
Fill in the blank.
A diagram that uses branches to
show how a number can be
written as the product of prime
numbers is called a __________.
ANSWER:
A diagram that uses
branches to show how a
number can be written as
the product of prime
numbers is a factor tree.
Fill in the blank.
__________________ is an
expression that represents
repeated multiplication of a
factor; it has 2 elements, the
base and the exponent.
Power is an expression that
represents repeated multiplication
of a factor; it has 2 elements, the
base and the exponent.
Fill in the blank.
A number that is a multiple
of two or more numbers is
called a ________________.
ANSWER:
A number that is a multiple
of two or more numbers is
called a common multiple.
Fill in the blank.
The ____________ states
that every natural number is
either prime or can be
uniquely written as a
product of primes.
ANSWER:
The Fundamental Theorem of
Arithmetic states that every
natural number is either prime
or can be uniquely written as
a product of primes.
The sentences below,
illustrates which properties?
5 x (9 x 1) = 5 x (1 x 9)
(6 x 7) x 2 = 6 x (7 x 2)
ANSWER:
Commutative:
5 x (9 x 1) = 5 x (1 x 9)
Associative:
(6 x 7) x 2 = 6 x (7 x 2)
What are Relatively
Prime Numbers?
ANSWER:
Relatively Prime
Numbers are two
numbers which do not
have any common
factors other than 1.