Recurring Decimals All recurring decimals can be written as fractions They are rational numbers.

Slides:



Advertisements
Similar presentations
Scatter Plots or Line of Best Fit Clipboard B Objective:To use scatter plots to write a line of best fit. Right click and click advance to advance slides!!
Advertisements

Equations: Repeating Decimals as Rational #s Honors Math – Grade 7.
The student is expected to: (B) select and use appropriate forms of rational numbers to solve real- life problems including those involving proportional.
CONVERTING RECURRING DECIMALS INTO FRACTIONS
RATIONAL AND IRRATIONAL NUMBERS
Rational Numbers and Decimals
E Birbeck 7/04 Natural Numbers Whole Numbers Integers Rational Numbers.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
Fractions & Decimals.
Converting a repeating decimal to a fraction
Write as a decimal (answer: 0.5) (answer: 1.4)
1 RecurringDecimals Press Ctrl-A ©2009 – Not to be sold/Free to use Stage 5 Year 9.
The root word of rational is ratio.
Converting Rational Numbers to Fractions
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.
Multiplying and Dividing of Fractions Section 3.4 Pages 123 – 129 Section 3.5 Pages 130 – 136.
Writing Terminating Decimals as Fractions
2-7 Rational Numbers Rational Number- A number that can be written as a fraction Ex: Write four more examples of rational numbers.
Adding/Subtracting Fractions (like denominators) Adding/Subtracting Fractions (unlike denominators) Adding/Subtracting Decimals Multiplying/Dividing Fractions.
Chapter 5 Lesson 2 Rational Numbers Pgs
Rational numbers. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% A rational number.
I CAN COMPARE AND ORDER RATIONAL NUMBERS BY USING A NUMBER LINE. 1.5 RATIONAL NUMBERS.
PERCENTS. WHAT ARE PERCENTS?  We’ve done lots of work with fractions and decimals. We’ve determined that fractions that denominators of 100 are useful.
How can we solve fractional equations? Do now: Solve for x What steps did you use to solve?
Converting Fractions, Decimals and Percentages ORDERING.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:
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 =
Percents To Reduced Fractions Decimals To Percents.
5.4 Irrational Numbers. Irrational numbers Irrational numbers are those that cannot be written as a fraction Irrational numbers have non-terminating or.
Fractions, Decimals, Percentages
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.
Equations with Decimal and Fractional Terms Slideshow 22, Mathematics Mr Richard Sasaki Room 307.
Percents, Fractions, and Decimals 12/7
Repeating decimals – How can they be written as fractions? is a rational number.
Fractions and Decimal Fractions Fractions Decimal Fractions
Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +
Number: Recurring Decimals Definition and Simple Conversion to Fraction Form. By I Porter.
©2009 – Not to be sold/Free to use
Recurring Decimal Fraction  Recurring Decimal
Core Focus on Linear Equations
Objective The student will be able to:
Convert to a Percent %.
“Take the top #, Divide by the bottom #!”
1. Write each rational number in lowest term (similar to p.48 #45-51)
Fractions, Decimals and Mixed Numbers
Learning Journey – Percentages
©G Dear 2010 – Not to be sold/Free to use
Domain 1: The Number System
Converting Repeating Decimals to Fractions
Jeopardy.
Chapter 3 Test Review.
Lesson 2 MGSE8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for.
Fractions, Decimals & Percentages
Unit 2. Day 14..
Unit 2. Day 13..
Recurring decimals to fractions (2 exercises)
Recurring decimals to fractions (2 exercises)
Jeopardy.
Exercise Use long division to find the quotient. 180 ÷ 15.
Rational Numbers Recurring Decimals.
Converting between Percentages, Decimals and Fractions
Rational Numbers Any number that can be written as a fraction
Lesson 2 MGSE8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for.
Addition & Subtraction Addition & Subtraction
Rational and Irrational Numbers
Jeopardy.
Adding and Subtracting Rational Expressions
Multiplying and Dividing Rational Numbers
Rational Numbers and Irrational Numbers
Recurring Decimals – Converting – Demonstration
Presentation transcript:

Recurring Decimals All recurring decimals can be written as fractions They are rational numbers

Recurring Decimals To write recurring decimals as fractions, we use a simple multiplying method…

Recurring Decimals e.g … Let x = … Then 10x = … We do a subtraction…

Recurring Decimals 10x = … - x = … 9x = 3 X = 3 = 1 9 3

Recurring Decimals e.g … Let x = … 100x = … We do a subtraction…

100x = … - x = x = 56 X = 56 99

Recurring Decimals Reminder: Recurring decimals are written by using a dot:. e.g …. = 0.3

Now you try Convert the decimals to fractions – ….. – ….