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HW # 21 - HOLT p. 68 # 20-52 even Warm up

Week 6, Day One – October 15 th , 2012. HW # 21 - HOLT p. 68 # 20-52 even Warm up. Write each decimal as a fraction in simplest form. A. 8.75. B. 0.2625 0.27 –0.625 Write 13/6 as a decimal. 2625 10,000. =. 27 100. 5 / 8. 21 80. =. 75 100. = 8. 2.16. 3 4. = 8.

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HW # 21 - HOLT p. 68 # 20-52 even Warm up

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  1. Week 6, Day One – October 15th, 2012 HW # 21- HOLT p. 68 # 20-52 even Warm up Write each decimal as a fraction in simplest form. A. 8.75 • B. 0.2625 • 0.27 • –0.625 • Write 13/6 as a decimal.

  2. 2625 10,000 = 27100 5 / 8 21 80 = 75 100 =8 2.16 3 4 =8 A. 8.75 Warm Up Response 8.75 5 is in the hundredths place, so write hundredths as the denominator. Simplify by dividing by the greatest common divisor. B. 0.2625 5 is in the ten-thousandths place. 0.2625 Simplify by dividing by the greatest common divisor. C.0.27 D.–0.625 E.Write as a decimal. 13/ 6

  3. 2625 10,000 = 21 80 = 75 100 =8 3 4 =8 Example Write each decimal as a fraction in simplest form. A. 8.75 5 is in the hundredths place, so write hundredths as the denominator. 8.75 Simplify by dividing by the greatest common divisor. B. 0.2625 5 is in the ten-thousandths place. 0.2625 Simplify by dividing by the greatest common divisor.

  4. 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.

  5. Remember! A fraction is in reduced, or simplest, form when the numerator and the denominator have no common divisor other than 1.

  6. Homework Check Weird

  7. Factor Tree Key

  8. Goals for Today • 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

  9. Example: Writing Repeating Decimals as Fractions Write 0.as a fraction in simplest form. x = 0.44444… Let x represent the number. Multiply both sides by 10 because 1 digit repeats. 10x = 10(0.44444…) 10x = 4.444444… 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. -x = -0.44444… 9x = 4 9x = 4 9 9 Since x is multiplied by 9, divide both sides by 9. 4 9 x =

  10. Example 2 Write 0.as a fraction in simplest form. x = 0.363636… Let x represent the number. Multiply both sides by 100 because 2 digits repeat. 100x = 100(0.363636…) 100x = 36.363636… 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. -x = -0.363636… 99x = 36 99x = 36 99 99 Since x is multiplied by 99, divide both sides by 99. 36 99 4 11 x = = Write in simplest form.

  11. Quiz Oops! #22.) {M=20, 8, 8.66, -20, -24, 9.3, -6} M=17.5, 15, -77.5, 8, -75, -35} Many students go this question wrong…more to come on this concept.

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