Ch.11 Decimals and Fractions

Congratulations to Annabelle, Susan, and Jason on the Kahoot! game!

Lesson review:

• terminating decimals
• repeating decimals (recurring decimals)
• radix point: the dot to separate an integral part of a number from the fractional part
• divide by 10^n — move the decimal point n places to the left
• a/b in lowest term: if b has a prime factor other than 2 or 5, then a/b has a repeating expansion
• a/b in lowest term: # of digits past the decimal point is the larger of the power of 2 and 5 in the prime factorization of b.
• 3 types of decimals:
  • Terminating decimals: have a finite number of digits after the decimal point.
  • Recurring decimals: have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.
  • Irrational numbers: decimals which go on forever, never- ending and never forming a repeating pattern; cannot be expressed as a fraction. 

Extra Resource:

• https://www.futurelearn.com/courses/maths-subject-knowledge-fractions-decimals-and-percentages/0/steps/66340
• https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-repeating-decimals/v/converting-a-fraction-to-a-repeating-decimal
• https://www.youtube.com/watch?v=uSf3fl_Ho70

Homework:

• p.198 Ex.11.2.1 (a,c,f,h), 11.2.2 (a,b,c,d)
• p.203 Ex.11.3.1 (a,c,f,h), 11.3.2
• p.206 Ex.11.4.1 (a,c,e)
• p.210 Ex.11.5.1(a,c,f,h), 11.5.2 (a,b,c,d)
• p.211 Ex.11.19, 10.20
• p.212 Ex. 11.26, 11.29(b), 11.30

See you next Sunday!!!

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