Question

1)The star diagram
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*** ****
may be used to demonstrate the truth of

a) 3x4=4x3
b) 2+(3x4)=2x(3+4)
c) 2x(3+4)=(2x3)+(2x4)
d) 2x(3x4)=2x3x4


2)The star diagram
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may be used to demonstrate the truth of
a) 3x4=4x3
b) 3x4x5
c) 3x(4+5)=3x4 + 3x5
d) (3+4)+5=3+(4+5)

Answer 1

you have 2 rows, each with 3+4 stars
So, what do you think?
Hint: distributive property

In #2, there is no multiplication, just 3+4+5 stars

So, what do you think?
Hint: associative property

Answer 2

I'm not sure about #1 but is #2 d?

Answer 3

Is #1 c?

Answer 4

you are correct on both of them. Good work.