Number Types

4.6 Number Types
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Slide 1: Tekstslide
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In deze les zitten 15 slides, met interactieve quizzen en tekstslides.

time-iconLesduur is: 40 min

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4.6 Number Types

Slide 1 - Tekstslide

Natural numbers

Slide 2 - Woordweb

Natural numbers
  • Positive whole numbers.
  •  0 also counts.
  • Some examples are: 0, 1, 2, 3, 4, 34, 100 and 7654

Slide 3 - Tekstslide

Integers

Slide 4 - Woordweb

Integers
  • All natural numbers (positive whole numbers including 0).
  • All negative whole numbers are added extra to the natural numbers.
  • Some examples: -367, -20, -1, 0, 2, 7, 240 and 4378 

Slide 5 - Tekstslide

Repeating decimal and the line notation
  • Fractions can be written as a decimal number.
For example:  3/4=0.75                                (just two digits)
                             5/6=0.8333…                       (infinitely many)
                             3/11=0.272727…                  (Repeating decimal)
                             8/27=0.296296…
The line notation is used when a group of digits is repeating.

Slide 6 - Tekstslide

Repeating decimal and the line notation
3/4=0.75 (just two digits) No line notation
5/6=0.8333… (infinitely many) ⇾ The 3 is repeating, so the line notations is ⇾      
3/11=0.272727… (Repeating decimal) ⇾ The 27 is repeating, so the line notation is ⇾ 
8/27=0.296296… ⇾ Same as the previous one but now the 296 are repeating, the line notation is ⇾    

Slide 7 - Tekstslide

fffffffff  and                     are different 
The first one is 0.487878787...
The second one is 0.487487487...
Keep in mind that the line in the line notation means that those numbers are repeating.  

Slide 8 - Tekstslide

What does the following line notation mean?
A
0.532
B
0.532532532...
C
0.5323232...
D
0.53222...

Slide 9 - Quizvraag

Rational numbers
  • Numbers that can be written as a fraction.
Some examples:  

The seven can be written as 7 over 1 
The minus four can be written as -4 over 1 
(17)
(14)

Slide 10 - Tekstslide

Irrational number
  • Numbers that cannot be written as a fraction or whole number.
  • Numbers were you can't  find the for example 250th decimal.
Some examples:     ,           and
Watch out:          = 2 that is a whole number and makes it a natural number.
7
2
4
π

Slide 11 - Tekstslide

Real numbers
  • All rational and irrational numbers together.
  • All the numbers.
Some examples: 0, 4, -3,    and
π
435

Slide 12 - Tekstslide

Slide 13 - Link

What did we learn?
  • Natural numbers. ⇾ (0, 1, 2, 3, 4...)
  • Integers. ⇾ (...-2, -1, 0, 1, 2...)
  • Repeating decimal and the line notation. ⇾ (0.11111, 0.375375... etc)
  • Rational numbers. ⇾ (numbers that can be written as a fraction) 
  • Irrational numbers. ⇾ (numbers that can't be written as a fraction)
  • Real numbers ⇾ (all numbers)

Slide 14 - Tekstslide

Homework
Exercises: 69, 71, 72, 75, 76, 79
After the spring break: first some lessons and then a formative test about chapter 4. The date will come on somtoday.

Slide 15 - Tekstslide