# 1TH/vwo §8.5 Powers of negative numbers

To understand §8.5 better, we first shortly look back at
POWERS.
Because .... what are powers again?!
Powers were explained earlier this year, in §7.2
Let's repeat that explanation first!
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Slide 1: Tekstslide
WiskundeMiddelbare schoolhavo, vwoLeerjaar 1

In deze les zitten 39 slides, met interactieve quizzen en tekstslides.

Lesduur is: 45 min

## Onderdelen in deze les

To understand §8.5 better, we first shortly look back at
POWERS.
Because .... what are powers again?!
Powers were explained earlier this year, in §7.2
Let's repeat that explanation first!

53=....
timer
0:20
A
125
B
15
C
625

#### Slide 4 -Quizvraag

Task 1:

Key in your answer in the next slide!

#### Slide 5 -Tekstslide

Who's right about: the square of -3 ?
Paulo says: 9
Sabine says: -9
timer
0:20
A
Sabine
B
both
C
Paulo
D
neither

explanation:

#### Slide 7 -Tekstslide

Task 2:
-           = 25      A
-           = - 25   B
-           = 10       C
-           = - 10    D    Fill in the good answer in the next slide.
52
52
52
52

= ...
52
timer
0:20
A
25
B
- 25
C
10
D
- 10

#### Slide 9 -Quizvraag

explanation:

-         =    -  5 x 5 = - 25
So the key to the answer is that only 5 is squared, but not
the minus sign!!
Next is the ORDER of OPERATIONS (volgorde van bewerkingen).
52

#### Slide 11 -Tekstslide

After this short REFRESH, we are in §8.5 now.

#### Slide 12 -Tekstslide

Think of a good answer.
No calculation needed this time!

#### Slide 15 -Tekstslide

Do you know what power is?
Watch the next slide!

#### Slide 17 -Tekstslide

After all this squaring ......

+ we'll deal with higher powers too!

#### Slide 18 -Tekstslide

What does this mean:                  ?
it means                 4 x 4 x 4
So                             4 x 4 x 4 = 64
43
43=

#### Slide 19 -Tekstslide

Task :
in the same way do:
=  ............
Key in your answer in the next slide.
(4)3

Task :

timer
0:30
(4)3
A
64
B
-64
C
-12
D
12

#### Slide 21 -Quizvraag

Explanation Task :
=  -4 x -4 x -4 = -64
(4)3

#### Slide 22 -Tekstslide

Further Explanation Task :

=   -   4 x 4 x 4 = -64
= -4 x -4 x -4 = -64
So, do             and                    give the same outcome?!
Indeed, they do!!
43
(4)3
43
(4)3

#### Slide 24 -Tekstslide

What are the two answers?
A
125 and 625
B
125 and -625
C
-125 and 625
D
-125 and -625

#### Slide 25 -Quizvraag

Let's study a few more difficult tasks together.
For this it is important to work it out on paper,
just like on a test!
Open your NOTEBOOK en
GET a PEN, please.

#### Slide 26 -Tekstslide

HV task:
1. Copy the task in your Notebook.
2. Write down a calculation
3. Key in your answer in the next slide.
(3)3=

#### Slide 27 -Tekstslide

for HV : Copy and make in your Notebook!
=
(3)3
A
-9
B
27
C
-27
D
-6

#### Slide 28 -Quizvraag

HV task:        Solution, step by step:
-   -3 x -3 x -3 = 3 x 9 = 27
(3)3=

#### Slide 29 -Tekstslide

VWO task:   COPY and MAKE in your NOTEBOOK:
timer
1:00

#### Slide 30 -Tekstslide

This is the Solution:

#### Slide 31 -Tekstslide

VWO    TASK 6:
this is a Fotovraag:

MAKE THIS ONE IN YOUR NOTEBOOK: FIRST COPY the TASK!
Then WORK IT OUT, TAKE A PICTURE AND SEND IT IN IN NEXT SLIDE.

timer
1:30

TASK 6:

#### Slide 33 -Open vraag

VWO task      EXPLANATION TASK 6:

#### Slide 34 -Tekstslide

The exercises above are similar to 45, that you are going to do now. The exercises e t/m h contain more than one
operation.
Work it out completely in your NOTEBOOK!
Not just the answer. Also see next slide!

#### Slide 35 -Tekstslide

As you can see, for 45 and 46 the CALCULATIONS are of the greatest importance!
So, when making them, don't just give the answers but show
all the steps it takes, to get the answer!

#### Slide 36 -Tekstslide

HOMEWORK TIME
H/V:       41 t/m 45
VWO:     42 t/m 46