Ain't One

A Maths Starter of The Day

Use your calculator to find which whole number divided by another whole number gives the answer:

1.8181818181

Calculator allowed

 

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  • The Best Maths Class Ever (7cd/M2), King Alfred's College
  • Friday, March 06, 2009
  • "Many of us found it too hard at the beginning but when we realised what we were doing, we managed to think of lots of answers:
    180/99
    40/22
    60/33
    80/44
    160/88
    100/55
    120/66
    etc to infinity and beyond......"

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Answer

One answer is  20 รท 11

What if the target number was:

1.1818181818

Teacher, do your students have access to computers?
Do you have "Laptops in Lessons"?

Whether your students each have a TabletPC or share a desktop PC, this activity lends itself to eLearning (Engaged Learning).

A spreadsheet could be used to quickly find a solution to this kind of problem.

 An algebraic solution might look like this:

Let the target number be x

                            x = 1.818181.... Equation 1         

Therefore 100 x = 181.8181... Equation 2

Subtract equation 1 from equation 1

99x = 180

x = 180/99

x = 20/11