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TAKE OUT A CALCULATOR Number Systems Repeating Decimals
Terminating Decimals Fraction to a Decimal Decimal to a Fraction TAKE OUT A CALCULATOR
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For Learning To Happen:
Take out a calculator. Remove all other thoughts from your mind. Pay close attention to this lesson. Try all of the examples. Ignore all other distractions.
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Number Systems Natural Numbers - Whole Numbers - Integers -
Natural counting numbers. 1, 2, 3, 4 … Whole Numbers - Natural counting numbers and zero. 0, 1, 2, 3 … Integers - Whole numbers and their opposites. … -3, -2, -1, 0, 1, 2, 3 … Rational Numbers - Integers, fractions, and decimals. Ex:
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Number Systems Rational Numbers
Any number that can be written as a fraction. Fractions/Decimals Integers Negative Integers Wholes Naturals Zero
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Number Systems Venn Diagram Rationals Integers Wholes Naturals
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Number Systems Rational numbers that can be written as decimals are described as either REPEATING DECIMALS or TERMINATING DECIMALS.
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Decimals Terminating Decimal Repeating Decimal
Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide. Repeating Decimal Is a decimal that shows a pattern of repeating digits.
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What type of decimal is this?
Decimals What type of decimal is this? 0.6 = 46 0.75 0.3842 = 3 Terminating Repeating
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Decimal Place Value Decimals are read as “and” ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 843 and 18 hundredths
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Decimal Place Value ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 4 and 238 thousandths
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Decimal Place Value ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 29 and 13 thousandths
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Decimal Place Value ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 1 ten thousandths
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How do we say this decimal?
Decimal Place Value How do we say this decimal? 0.6 Six Tenths It is written as the fraction 6/10
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How do we say this decimal?
Decimal Place Value How do we say this decimal? 0.3 Three Tenths It is written as the fraction 3/10
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How do we say this decimal?
Decimal Place Value How do we say this decimal? 0.52 Fifty Two Hundredths It is written as the fraction 52/100
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How do we say this decimal?
Decimal Place Value How do we say this decimal? 0.31 Thirty One Hundredths It is written as the fraction 31/100
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How do we say this decimal?
Decimal Place Value How do we say this decimal? 0.410 Four Hundred and Thousandths It is written as the fraction 410/1000
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How do we say this decimal?
Decimal Place Value How do we say this decimal? 0.381 Three Hundred and Eighty One Thousandths It is written as the fraction 381/1000
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Decimals to Fractions To Change a Decimal To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction. 0.2 Two tenths
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Change these Decimals to Fractions REDUCE you answer if possible
0.50 0.8 0.003 0.79 0.3331
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Fraction to Decimals To Change a Fractions To a Decimal: Divide the numerator by the denominator. . 8 4 5 4 4 0 5
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Fraction to Decimals To Change a Fractions To a Decimal: Divide the numerator by the denominator. . 7 5 3 4 3 2 8 4 2 20
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Fraction to Decimals To Change a Fractions To a Decimal: Divide the numerator by the denominator. . 3 3 1 3 1 9 3 1 9 1
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Fraction to Decimals To Change a Fractions To a Decimal: Divide the numerator by the denominator. . 6 3 5 3 3 0 5
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Fraction to Decimals Fraction Decimal Say it correctly!
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Fraction to Decimals Fraction Decimal
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Fraction to Decimals Fraction Decimal
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Repeating Decimals Fraction Decimal
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Repeating Decimals Fraction Decimal
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Repeating Decimals Fraction Decimal
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Repeating Decimals Fraction Decimal
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REMEMBER: To Always Show Your Work
Repeating Decimals REMEMBER: To Always Show Your Work Take out your Study Guide!!!
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Decimals #1 Terminating Decimal Repeating Decimal
Is a decimal that stops. The decimal terminates if you reach a remainder of zero when you divide. Repeating Decimal Is a decimal that shows a pattern of repeating digits.
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Decimal Place Value #2 Decimals are read as “and” ___ , ___ ___ ___ ___ ___ ___ ___ Thousandths Thousands Ones Hundredths Hundreds Tens Tenths Ten Thousandths Read as 243 and 16 hundredths copyright©amberpasillas2010
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#3 DECIMAL TO A FRACTION To Change A Decimal To A Fraction: Read the decimal using the correct place value. How you say it determines the fraction. 0.2 Two tenths
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FRACTION TO A DECIMAL #4 To Change Fraction To a Decimal: Divide the numerator by the denominator. . 7 5 3 4 3 4 2 8 2 20
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