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Before we start the chapter we need to remember some of the things we have learnt before.
When doing calculations we mu
st remember
the order of calculation
BIDMAS
when we raise a negative number to a power we need to see id power is odd or even
Add fractions
Multiply fractions
Add square roots
Multiply square roots
write formulas shorter
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Slide 1:
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Wiskunde
Middelbare school
havo
Leerjaar 3
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Items in this lesson
Before we start the chapter we need to remember some of the things we have learnt before.
When doing calculations we mu
st remember
the order of calculation
BIDMAS
when we raise a negative number to a power we need to see id power is odd or even
Add fractions
Multiply fractions
Add square roots
Multiply square roots
write formulas shorter
Slide 1 - Slide
Order of calculation
e.g. 32- 4 x (16-5x2) =
first do what's in brackets
32 - 4 x(16-10) =
32 - 4 x 6 =
then do multiplication
32 - 24 =
and finally the subtraction 32 -24 = 8
Slide 2 - Slide
Even powers
and
5
2
=
5
⋅
5
=
2
5
(
−
5
)
2
=
(
−
5
)
⋅
(
−
5
)
=
2
5
Slide 3 - Slide
Odd Powers
but
5
3
=
5
⋅
5
⋅
5
=
1
2
5
(
−
5
)
3
=
(
−
5
)
⋅
(
−
5
)
⋅
(
−
5
)
=
−
1
2
5
Slide 4 - Slide
Adding fractions
To add fractions both fractions need to have the same denominator.
(that is the number on the bottom row of the fraction!)
Slide 5 - Slide
Slide 6 - Slide
Multiplying fractions
Multiply numerators together and divide by
denominators multiplied together
Slide 7 - Slide
Slide 8 - Slide
adding square roots
the numbers under the square root sign must be the same
then you can add them together
Slide 9 - Slide
Slide 10 - Slide
multiplying square roots
square roots can be multiplied by multiplying the numbers under the root signs.
Slide 11 - Slide
Slide 12 - Slide
Finally
when you need to shorten formulas you will need to remember
you can only add terms if they are like
you need to remove brackets by multiplying
be careful with powers
Slide 13 - Slide
Homework
Do all refresh exercises R1 t/m R7
Slide 14 - Slide
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