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 NumbersR 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 1Write Mixed Numbers and Integers as Fractions

Example 2Write Mixed Numbers and Integers as Fractions

Write each rational number as a fraction.

a. b. 10

Your TurnPractice Writing Mixed Numbers and Integers as Fractions

Example 3Write Terminating Decimals as Fractions

Example 4Write Terminating Decimals as Fractions

a. Write 0.26 as a fraction in simplest form.

b. The shipping weight of a package is 2.875 pounds. Write this decimal as a mixed number in simplest form.

Your TurnPractice Writing Terminating Decimals as Fractions

Example 5Write Repeating Decimals as Fractions

Example 6Write Repeating Decimals as Fractions

Write 0.39 as a fraction in simplest form.

Your TurnPractice Writing Repeating Decimals as Fractions

Example 7Classify Numbers

Example 8Classify Numbers

Identify all sets to which each number belongs.

a. b. 1.414213562… c. 15

HomeworkSection 3.2 #1-10