Replace each ___ with <, >, or = to make a true sentence. 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

R drive > Key > Week 10 > Tuesday > 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 *Just a side note – from now on, unless the problem says otherwise, always round to the nearest hundredth.

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 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