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Multiplying and dividing multiples of powers of ten
5
How will these "cards" help you in the future?
Dividing multiples of ten
Can we use the same concepts to work out
81000
90
81,000
90
= 81 1000
X
9 10
= 9 X 100
= 900
Multiplying multiples of powers of ten
How can we use the associative and communicative laws to work out 700 X 60?
Putting it together
700 X 60
= 7 X 100 X 6 X 10
= (7 X 6) X (10 X 100)
= 42 X 1000
= 1000
Can you use what you have learnt to have a go at these?
- 200 X 50
- 6000 X 70
- 30 X 0.2
- 56000/8
- 450/90
- 640/8
Now lets play defuse the bomb!
How can we use what have in our hand in some more interesting ways?
Associative and commutative properties
Multiplying and dividing by powers of ten
Phew... big words, do we know what they mean?
What we know- times tables
When we multiply or divide by powers of 10 we can just move the number! (Or the decimal if you find this easier)
Do you agree with this statement? Why/why not?
"Without times tables you cannot do any multiplication or division"
Communitative properties of multiplication
4 X 5 = 5 X 4
a X b = b X a
Associative properties of multiplication
4 X (3 X 2) =
(4 X 3) X 2 =
(4 X 2) X 3 =
It does not matter what order we do multplication problems in: the product will always be the same! pretty neat eh?