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HW # 21- HOLT p. 68 # 20-52 even Warm up Week 6, Day One – October 15 th, 2012 A. 8.75 Write each decimal as a fraction in simplest form. B. 0.2625 C.0.27 D.–0.625 E.Write 13/6 as a decimal.
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Warm Up Response C. 0.27 D. –0.625 E. Write as a decimal. 2.16 27 100 5 / 8 13/ 6 8.75 A. 8.75 5 is in the hundredths place, so write hundredths as the denominator. 75 100 = 8= 8 = 8= 8 3434 Simplify by dividing by the greatest common divisor. 0.2625 B. 0.2625 5 is in the ten- thousandths place. 2625 10,000 = = 21 80 Simplify by dividing by the greatest common divisor.
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8.75 A. 8.75 5 is in the hundredths place, so write hundredths as the denominator. 75 100 = 8= 8 = 8= 8 3434 Simplify by dividing by the greatest common divisor. Write each decimal as a fraction in simplest form. Example 0.2625 B. 0.2625 5 is in the ten- thousandths place. 2625 10,000 = = 21 80 Simplify by dividing by the greatest common divisor.
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To write a terminating decimal as a fraction, identify the place value of the digit farthest to the right. Then write all of the digits after the decimal point as the numerator with the place value as the denominator.
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A fraction is in reduced, or simplest, form when the numerator and the denominator have no common divisor other than 1. Remember!
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Weird
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Lesson: Writing Repeating Decimals as Fractions Chapter 1 quiz – pass back (See be during PT time if you got an extensive note on your quiz) Clean out your binder of Chapter 1 work and put your MMC project in your spiral (if you have not done this already). Start HW
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x = 0.44444…Let x represent the number. Example: Writing Repeating Decimals as Fractions 10x = 10(0.44444…) Multiply both sides by 10 because 1 digit repeats. Subtract x from both sides to eliminate the repeating part. Since x = 0.44444…, use 0.44444… for x on the right side of the equation. 10x = 4.444444… x = 0.44444… 9x = 4 9 9 Since x is multiplied by 9, divide both sides by 9. x = 4949
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x = 0.363636…Let x represent the number. Example 2 100x = 100(0.363636…) Multiply both sides by 100 because 2 digits repeat. Subtract x from both sides to eliminate the repeating part. Since x = 0.363636…, use 0.363636… for x on the right side of the equation. 100x = 36.363636… x = 0.363636… 99x = 36 99x = 36 99 99 Since x is multiplied by 99, divide both sides by 99. x = = 36 99 4 11 Write in simplest form.
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