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Mathematics: Applications and Concepts, Course 1 Interactive Chalkboard
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GLENCOE DIVISION
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, Ohio 43240
Solve
You started with $20.
Examine
The answer seems reasonable. To check
it, subtract all of the money spent at the
mall and confirm that $3 is left over.
Answer: $20
Example 1 Identify Prime and Composite Numbers
Example 2 Identify Prime and Composite Numbers
Example 3 Find Prime Factorization
Tell whether 13 is prime, composite, or neither.
The factors of 13 are 1 and 13.
Answer: Since there are exactly two factors, 1 and the
number itself, 13 is a prime number.
Tell whether 35 is prime, composite, or neither.
Answer: composite
Tell whether the number 20 is prime, composite, or
neither.
The factors of 20 are 1 and 20, 2 and 10, and 4 and 5.
Answer: Since 20 has more than two factors, it is a
composite number.
Tell whether the number 41 is prime, composite, or
neither.
Answer: prime
Find the prime factorization of 96.
Write the number that is being
factored at the top.
Choose any pair of whole
number factors of 96.
Continue to factor any number
that is not prime.
Except for the order,
the prime factors are
the same.
Answer: The prime factorization of 96 is
Find the prime factorization of 72.
Answer: 2  2  2  3  3
Example 1 Write Powers and Products
Example 2 Write Powers and Products
Example 3 Use Powers to Solve a Problem
Example 4 Write Prime Factorization Using Exponents
Write
using an exponent. Then find the
value of the power.
The base is 5. Since 5 is a factor four times, the
exponent is 4.
Answer:
625
Write
using an exponent. Then
find the value of the power.
Answer:
16,384
Write as a product. Then find the value of the
product.
The base is 8. The exponent is 3. So, 8 is a factor
three times.
Answer:
512
Write as a product. Then find the value of the
product.
Answer:
1,296
ELEVATIONS The highest point in Utah is King’s
Peak. It stands just a bit higher than meters. What
is this elevation?
Write
as a product. Then find the value of the product.
Answer: So, the elevation of King’s Peak is about 4,096
meters.
SWIMMING POOL The length of a new swimming
pool being built at the community recreation center
is listed as feet. What is the length of the new
pool?
Answer: 64 ft
Write the prime factorization of 126 using exponents.
The prime factorization of 126 is
written as
Answer:
This can be
Write the prime factorization of 144 using exponents.
Answer: