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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 – ….. – ….
Number: Recurring Decimals Definition and Simple Conversion to Fraction Form. By I Porter.
Converting a repeating decimal to a fraction. Vocabulary – Shoot For The Stars 30 seconds I got this! I know this word AND I could even teach it to somebody.
Repeating decimals – How can they be written as fractions? is a rational number.
RATIONAL AND IRRATIONAL NUMBERS. Recurring decimals.
Fractions and Decimal Fractions Fractions Decimal Fractions
CONVERTING RECURRING DECIMALS INTO FRACTIONS. Rational and Irrational Numbers Rational Numbers 1)A Whole Number 2)A Fraction 3)Repeating Decimal e.g.
I CAN COMPARE AND ORDER RATIONAL NUMBERS BY USING A NUMBER LINE. 1.5 RATIONAL NUMBERS.
Percents, Fractions, and Decimals 12/7 Percent A ratio that compares a number to 100 Examples 54/100 = 54% 36/100 = 36% 4/25 = 16/100 = 16%
Pre - Algebra Bench Mark 7 Know Rational Numbers Are Either Terminating Or Repeating Decimals Warm Up Write as a decimal
Math Notebook & Pencil Converting Rational Numbers to Fractions.
Rational numbers. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% A rational number.
2-7 Rational Numbers Rational Number- A number that can be written as a fraction Ex: Write four more examples of rational numbers.
1 RecurringDecimals Press Ctrl-A ©2009 – Not to be sold/Free to use Stage 5 Year 9.
Adding/Subtracting Fractions (like denominators) Adding/Subtracting Fractions (unlike denominators) Adding/Subtracting Decimals Multiplying/Dividing Fractions.
E Birbeck 7/04 Natural Numbers Whole Numbers Integers Rational Numbers.
Percents To Reduced Fractions Decimals To Percents.
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.
Converting Fractions, Decimals and Percentages ORDERING.
The student is expected to: (B) select and use appropriate forms of rational numbers to solve real- life problems including those involving proportional.
What are they? Rational Numbers The root word of rational is ratio. Ratios are fractions. Any number that can be written as the quotient (a fraction)
5.4 Irrational Numbers. Irrational numbers Irrational numbers are those that cannot be written as a fraction Irrational numbers have non-terminating or.
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 +
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!!
Rational Numbers and Decimals 5.5. Natural Numbers Counting Numbers 1,2,3,4,5,6,7…
Equations: Repeating Decimals as Rational #s Honors Math – Grade 7.
Multiplying With Scientific Notation (3.8 102) (5 104) = 1.) Change the order of the factors. 2.) Multiply and use the rules for exponents 3.) Make.
Equations with Decimal and Fractional Terms Slideshow 22, Mathematics Mr Richard Sasaki Room 307.
Fractions, Decimals, Percentages Converting from one to another.
Multiplying and Dividing of Fractions Section 3.4 Pages 123 – 129 Section 3.5 Pages 130 – 136.
Fractions & Decimals Place Values 1.) ) ) )
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.
EXAMPLE 3 Writing Terminating Decimals as Fractions Write the decimal as a fraction or mixed number in simplest form. 4 is in the tenths’ place. 2 = 5.
How can we solve fractional equations? Do now: Solve for x What steps did you use to solve?
Chapter 5 Lesson 2 Rational Numbers Pgs What you will learn (maybe): Write rational numbers as fractions Identify and Classify 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.
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:
2-8 Multiplying a Power of Ten by a Whole Number 4 10 = ___________________ = ___________________ 4 1,000 = ___________________ 4 10,000 = __________________.
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 =
Negative Exponents SWBAT express powers with negative exponents as decimals; express decimals as powers with negative exponents; simplify expressions with.
Fractions Just the basics. Fractions This is the easiest operation! 1. Multiply the numerators. 2. Multiply the denominators. 3. Simplify if necessary.
Lesson 5.3 The rational numbers. Rational numbers – set of all numbers which can be expressed in the form a/b, where a and b are integers and b is not.
Fractions 15/20 = /60 = /100 = 0.75 ¾ = 0.75 Converting to decimals - Use calculator So 15 divided by 20.
Warm Up (8) 2. 6(12) (7)6. Multiply or Divide.
ETL203 week 7 Developing fractional reasoning. Fractions (decimals) are numbers.
Essential Question: How do you find the percent of a number? Brain Pop: Percents.
Bell Ringer #2 Name the integer suggested 1.In foreign trade, the U.S. had an excess of $3 million Write the following from least to greatest 2. 13, -12,
Opener Evaluate when x = 4.. Test Review Simplifying Exponent Rules.
Fraction Notes Chapter 2 By Michael Girvin 1. By Hand Topics Reduce Fractions Improper to Mixed Number Mixed Number to Improper Fraction Multiply and.
$100 $200 $300 $400 $100 $200 $300 $400 $300 $200 $100 Fraction with pictures Convert mixed to improper fractions Convert improper to mixed fractions.
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