Chapter 5 Lesson 2 Rational Numbers Pgs. 205-209 What you will learn (maybe): Write rational numbers...
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Transcript of Chapter 5 Lesson 2 Rational Numbers Pgs. 205-209 What you will learn (maybe): Write rational numbers...
Chapter 5 Lesson 2Rational Numbers
Pgs. 205-209
Chapter 5 Lesson 2Rational Numbers
Pgs. 205-209
What you will learn (maybe):Write rational numbers as fractions
Identify and Classify rational numbers
What you will learn (maybe):Write rational numbers as fractions
Identify and Classify rational numbers
Vocabulary:Vocabulary: Rational Number (205): A number that can be
written as a fraction. Terminating decimals are rational numbers because they can be written as a fraction with a denominator of 10, 100, 1000
and so on…..
Ex.) 0.75 = 3/4 28 = 28/1 1 1/4 = 5/4
_ -0.3 = - 1/3
Rational Number (205): A number that can be written as a fraction. Terminating decimals are rational numbers because they can be written as a fraction with a denominator of 10, 100, 1000
and so on…..
Ex.) 0.75 = 3/4 28 = 28/1 1 1/4 = 5/4
_ -0.3 = - 1/3
Write Mixed Numbers and Integers as FractionsWrite Mixed Numbers and Integers as Fractions
Write 5 2/3 as a fraction. 2 17 Turn the Mixed # 3 3 into an improper fraction
Write -3 as a fraction
-3 = -3 3 1 1
Write 5 2/3 as a fraction. 2 17 Turn the Mixed # 3 3 into an improper fraction
Write -3 as a fraction
-3 = -3 3 1 1
5 =
or -
Write Terminating Decimals as FractionsWrite Terminating Decimals as Fractions
Write each decimal as a fraction or mixed number in simplest form.
0.48 = 48 See the digit chart on pg. 206 100
Simplify: 12 25
Write each decimal as a fraction or mixed number in simplest form.
0.48 = 48 See the digit chart on pg. 206 100
Simplify: 12 25
6.375 = 6
Simplify: 6
375 1000
3 8
Write Repeating Decimals as FractionsWrite Repeating Decimals as Fractions
Write 0.8 as a fraction in simplest formLet N represent the number: N= 0.888…..Multiply each side by 10 since one digit repeats:10N = 10(.888…)10N = 8.888…..Subtract N from 10N to eleminate the repeating part. 0.888…. 10N = 8.888… - (N = 0.888…) 9N = 8 N = 8 9N = 8 9 9 9
Write 0.8 as a fraction in simplest formLet N represent the number: N= 0.888…..Multiply each side by 10 since one digit repeats:10N = 10(.888…)10N = 8.888…..Subtract N from 10N to eleminate the repeating part. 0.888…. 10N = 8.888… - (N = 0.888…) 9N = 8 N = 8 9N = 8 9 9 9
_
Big Idea! Noteworthy!!Big Idea! Noteworthy!!All rational numbers can be written as terminating orrepeating decimals.
Decimals that do not terminate or repeat are called irrational numbers because they CANNOT be writtenas fractions
Examples of irrational numbers:
Pi = 3.141592654….. ----> digits DO NOT repeat
4.232232223…….---->same blocks of digits DON’T repeat
Refer to the Concept Summary on Pg. 207Refer to the Concept Summary on Pg. 207
Identify all sets to which each number belongs:
-6
2 4/5
0.914114111…
Identify all sets to which each number belongs:
-6
2 4/5
0.914114111…
Integer, Rational
Rational
Irrational
You Try!You Try!
Write each number as a fraction.-2 1/3 10 7 2/3
Write each number as a fraction or mixed number in simplest form.
.8 6.35 -0.7
Write each number as a fraction.-2 1/3 10 7 2/3
Write each number as a fraction or mixed number in simplest form.
.8 6.35 -0.7_
- 7/3 10 1
23 3
4/5 6 7/20 7 9
_