1.2 Approximating numbers

Good morning!
Schedule: 
  • Learning goals
  • Homework questions
  • Rounding quiz
  • Math is cool/what does it mean to be exact 
  • Homework

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Slide 1: Diapositive
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Good morning!
Schedule: 
  • Learning goals
  • Homework questions
  • Rounding quiz
  • Math is cool/what does it mean to be exact 
  • Homework

Slide 1 - Diapositive

Learning goals 
At the end of this lessons I can:
  • Round to different degrees of accuracy 
  • Represent number in a different form to be more exact

Slide 2 - Diapositive

Homework questions
Please take 5 min and see if you can answer the questions on the Padlet. 

Any unanswered questions I will discuss on the board. 

Slide 3 - Diapositive

It takes 0.0000033356 seconds for light to travel 1 km. Round this number to 3 significant figures.

Slide 4 - Question ouverte

round π to 4 decimal places
π ≈ 3.1415926535

Slide 5 - Question ouverte

Round π to the nearest hundredth.
π ≈ 3.1415926535

Slide 6 - Question ouverte

is 0.999999999...
a rational or irrational number?
A rational number
An irrational number

Slide 7 - Sondage

What does it mean to be exact?
I am going to prove that 0.999999... = 1 


Slide 8 - Diapositive

What does it mean to be exact?

First, if x = 0.9999999...
calculate: 
10x = 
9x =
Remember 10x - x = 9x

Slide 9 - Diapositive

What does it mean to be exact?
x = 0.99999999... and 9x = 9


So, is 0.999999... rational or irrational? 

Slide 10 - Diapositive

What does it mean to be exact 
Some numbers might appear or act a certain way, but can be rewritten to act or appear another way. 

We can represent some numbers a certain way to be more exact. 
Ex. 
3
2.23606797749978969...

Slide 11 - Diapositive

Homework


P. 33-34: Practice 5(1, 3, 5, 6, 9)
P. 35: Practice 6



Due Tuesday 27-9

Slide 12 - Diapositive