Transcript Bell Ringer
Bell Ringer
Replace each ___ with <, >, or = to make a true
sentence.
#1.
#2.
#3.
#4.
Things I Need to Give You
New Homework Sheet
Make
sure you picked this up. We are starting over new this
9 weeks so even if you still have the bottom half of the last
week’s, use this one – brand new – starting at the top!
Bathroom Passes
Each
person should have 6. MAKE SURE YOU WRITE YOUR
NAME ON THEM NOW!!!
Fraction – Decimal Equivalent Chart
This
was from yesterday’s lesson. It needs to be memorized
for quizzes.
NOTICE
First quiz will be on THURSDAY, OCT 16.
It
will cover Sections 3.1, 3.2, and 10.1
Homework Check from Last Night
Homework Check from Last Night
Section 3.2
Rational Numbers
R drive > Key > Week 10 > Tuesday >
3.2 PowerPoint
File > Save As > P Drive > Math > Week 10 >
3.2 PowerPoint
Vocabulary
Natural Numbers – Numbers in the set {1, 2, 3, …}.
Represented by N.
Whole Numbers – The set of natural numbers plus zero
{0, 1, 2, 3,…}. Represented by W.
Integers – Whole numbers and their opposites
{… -3, -2, -1, 0, 1, 2, 3,…}. Represented by Z.
Rational Numbers – Any number that can be
written as a fraction. Represented by Q.
Irrational Numbers – Decimals that neither
terminate or repeat.
Notes
Numbers like 1, 0, -3, and 1½ can be organized into
sets.
When you first learned to count using the numbers
1,2,3,… you were using members of the set of natural
numbers, N = {1, 2, 3, …}
If you add zero to the set of natural numbers, the result
is the set of whole numbers, W = {0, 1, 2, 3…}
Whole numbers and their opposites make up the set of
integers, Z = {…-3, -2, -1, 0, 1, 2, 3, …}
Any number that can be written as a fraction is part of
the set of rational numbers, Q. Some examples of
rational numbers are 0.87, -23, 2/3, -2.56, 1½
Notes
Fractions, mixed numbers, and integers
are all rational numbers. Terminating
decimals are also rational numbers
because they can be written as fractions
with a denominator of 10, 100, 1000,
and so on. Any repeating decimal can
be written as a fraction, so repeating
decimals are rational numbers.
Notes
Example 1
Write Mixed Numbers and Integers as Fractions
Example 2
Write Mixed Numbers and Integers as Fractions
Write each rational number as a fraction.
a.
b. 10
Your Turn
Practice Writing Mixed Numbers and Integers as Fractions
Example 3
Write Terminating Decimals as Fractions
Example 4
Write Terminating Decimals as Fractions
a.
b.
Write 0.26 as a fraction in simplest form.
The shipping weight of a package is 2.875
pounds. Write this decimal as a mixed number in
simplest form.
Your Turn
Practice Writing Terminating Decimals as Fractions
Example 5
Write Repeating Decimals as Fractions
Example 6
Write Repeating Decimals as Fractions
Write 0.39 as a fraction in simplest form.
Your Turn
Practice Writing Repeating Decimals as Fractions
Example 7
Classify Numbers
Example 8
Classify Numbers
Identify all sets to which each number belongs.
a.
b. 1.414213562…
c. 15
Homework
Section 3.2 #1-10