Terminating and Repeating Decimals

Slides:



Advertisements
Similar presentations
Rational Numbers and Decimals
Advertisements

Rational and Irrational Numbers
RATIONAL NUMBERS: 1-1A MA.8.A.6.4. A rational number can be written as a fraction (where denominator is not 0) Exs:,, Rational Numbers Chapter 1: Rational.
The Real Number System. The natural numbers are the counting numbers, without _______. Whole numbers include the natural numbers and ____________. Integers.
E Birbeck 7/04 Natural Numbers Whole Numbers Integers Rational Numbers.
2.2 Rational Numbers Objectives: To show that a number is a rational #
Fractions and Decimals 5.2. Writing a Fraction as a decimal Divide the numerator by the denominator.
Rational Numbers and Decimals
Fractions & Decimals.
The root word of rational is ratio.
Fractions, Decimals, and Percents. 1. Find the prime factorization of each number (similar to p.17 #55-71)
Lesson 5-1 Pages Writing Fractions as Decimals.
Learn to write rational numbers in equivalent forms.
Write each decimal as a fraction in simplest form. – 3. –0.625
2-1 Terminating and Repeating Decimals
5-2 Rational Numbers. Converting Decimals to Fractions To convert a decimal to a fraction: 1)Determine where the decimal ends 2)Place the numerals after.
Equivalent Fractions and Decimals 2-6. * Write these in the “Vocabulary” section of your binder. Make sure to add an example! * Equivalent fractions are.
Rational Numbers Math 7/8.
NOTES 2.1 Rational Numbers VOCAB: rational number: is a number that can be written as the ratio of two integers. (a fraction) terminating decimal: is a.
Fractions and Decimals
Equivalent Fractions, Decimals and Fractions
2-1 (C) Comparing and Ordering Integers. Vocabulary Rational Number – a number that can be expressed as a fraction. Ex: %4 ½ 4.8.
Vocabulary Chapter 4 unlike fractions unlike fractions terminating decimal - I will give you the definition for this one!! terminating decimal - I will.
A.Writing Rational Numbers as Decimals => SEE EXAMPLE -Divide denominator into numerator -Determine if it terminates or repeats B.Writing Decimals.
Rational numbers. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% A rational number.
Rational Numbers. Numbers that can be written as a ratio (a fraction) All Integers are Rational Numbers because they can be written as a fraction: 7 =
Evaluating Algebraic Expressions 2-1Rational Numbers California Standards NS1.5 Know that every rational number is either a terminating or a repeating.
Integrated Mathematics Real Numbers. Rational Numbers Examples of Rational Numbers.
Decimal to Fraction  To change a decimal to a fraction, take the place value and reduce!  0.5 means 5 tenths, so 5/10.  Now reduce 5/10 = ½  0.5 =
Rational Numbers SWBAT define the set of rational numbers; identify subsets of rational numbers; write rational numbers in equivalent forms.
Chapter 5 L5-3 Notes: Mixed Numbers & Improper Fractions.
Bellwork Write each rational number as a fraction in simplest form.
Converting Fractions and Decimals Objective: Learn to convert fractions and decimals.
Converting Decimals to Fractions. 1.Set the decimal as the numerator in a fraction (without a decimal point). 25 NUMERATOR Example: Convert 0.25 pounds.
Vocabulary: Rational number: ANY number that can be written as a FRACTION Every rational number can be written as either a terminating decimal or repeating.
Repeating decimals – How can they be written as fractions? is a rational number.
Rational Numbers SWBAT identify rational numbers; identify rational numbers as termination or nonterminating repeating decimal; locate rational numbers.
Fractions and Decimal Fractions Fractions Decimal Fractions
Fractions, Decimals, and Percents. 1. Find the prime factorization of each number.
Chapter 2 Vocabulary Rational Numbers Essential Question: How do we change mixed numbers into improper fractions?
Writing Fractions as Decimals What are the parts to a fraction? a b The top part of a fraction is called the NUMERATOR. The bottom part of a fraction is.
Pre-Algebra 3-1 Rational Numbers Learn to write rational numbers in equivalent forms.
Terminating and repeating decimals
Lesson 2.7 Concept: How to compare and order improper fractions and mixed numbers. Guideline: A mixed number can be written as an improper fraction or.
Convert Decimals to Fractions
1-1 REAL NUMBERS Bell-work 1.) 2x + 1 = x + 6.
Rational Numbers Adding Like Fractions
and d are integers and d  0.
Fractions to Decimals.
Rational Numbers SWBAT define the set of rational numbers; identify subsets of rational numbers; write rational numbers in equivalent forms.
Rational & Irrational Numbers
Section 1.4 The Real Number System
The Complex Number System
If I have pumpkin pies, it looks
Rational Numbers and Decimals
Number Systems.
Changing Fractions to Decimals Guided Notes
Lesson 7.4 Real Numbers.
Repeating Decimals ……………………
Warm Up Divide     
Rational and Irrational Numbers
Converting Fractions and Decimals
Terminating and Repeating Decimals
Divide Remainder forms a fraction Step 1: Step 1: Step 2:
RATIONAL NUMBERS CCGPS - NS.7c and 7d.
RATIONAL NUMBERS CCGPS - NS.7c and 7d.
Rational Numbers Any number that can be written as a fraction
L5-7 Notes: Fractions as Decimals
Equivalent Forms of Rational Numbers
Terminating and Repeating Decimals Compare and Order Rational Numbers
Presentation transcript:

Terminating and Repeating Decimals

A rational number is a number that can be written as ________ where a and b are _________________ and b ≠ 0.

Rational numbers include:

A __________________ decimal is a decimal that ends.

A _________________ decimal is a decimal that has a repeating pattern that does not end.

A _________ written above the repeating numbers indicates that the pattern repeats forever.

To write a fraction as a decimal, __________________ __ the numerator by the denominator.

If the fraction is a mixed number, change it to an __________________ fraction first.

Write each fraction as a decimal Write each fraction as a decimal. Indicate if it is a terminating or repeating decimal.

Got it?