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(^) Copyright © Swun Math Grade 8 Unit 1 Lesson 2 C TE

Homework

Unit 1 · Lesson 2: Rational vs. Irrational Numbers

Example # 1

Directions: Determine if the number is rational or irrational. Justify your answer.

0.74

Solution:

• The number seventy-four
  hundredths is a
  terminating decimal.
  Therefore, it is
  considered to be a
  rational number.


• It can be re-written as
  the fraction^3750

0.01001000100001...

Solution:

• This is an irrational
  number. It is a decimal
  that has no set pattern
  and it doesn’t terminate.


• You cannot write this
  number as a ratio.

√ 7

Solution:

• I know that the square
  root of seven is an
  irrational number.


• The decimal form of this
  number is
  2.64575131106... it never
  ends and it doesn’t have
  a set pattern or repeat.

휋휋

Solution:

• 휋휋 is an irrational
  number.


• When I punch π on the
  calculator, I get the
  decimal 3.1415926535...


• This decimal is neither
  terminating nor has a
  set pattern