Transcript Document

Lesson 4.1
• How do you write the prime factorization of
numbers?
– You will use a factor tree to help you. Once
factored, you will write the number as a product of
its prime factors.
Lesson 4.2
• How do you find the greatest common factor
of two or more numbers?
– Write the prime factorization of each number.
– Find the common prime factors.
– Multiply the factors. This is your GCF.
Lesson 4.3
• How do you simplify fractions?
– Write the prime factorization of the numerator and
denominator.
– Divide out the common factor.
– Simplify.
Lesson 4.4
• How do you find the least common multiple of
two or more numbers?
– Write the prime factorization of each number.
– Circle the greatest power of each prime factor.
– Find the product of the circled factors.
Lesson 4.5
• How do you compare and order fractions and
mixed numbers?
– Find the least common denominator of the
fractions.
• Convert mixed numbers to improper fractions first.
– Write equivalent fractions.
– Compare the numerators.
– List the original fractions in order.
Lesson 4.6
• How do you multiply and divide expressions
with exponents?
– To multiply powers with the same base, add their
exponents.
– To divide two powers with the same base, subtract
their exponents.
Lesson 4.7
• How do you simplify expressions with
negative exponents?
– To simplify expressions with negative exponents,
reciprocate.
• If the negative exponent is in the numerator, move it to
the denominator.
• If the negative exponent is in the denominator, move it
to the numerator.
– An exponent of 0 turns the expression into the
number 1.
Lessons 4.8
• How do you read and write numbers using
scientific notation?
– To write numbers in scientific notation you will
move the decimal point and multiply the number
by a power of 10.
• If you move to the left, you have a positive exponent.
• If you move to the right, you have a negative exponent.
– Remember numbers must be between 1 and 10.