Alexandra is baby-sitting her little brother. To entertain him, she is building structures with his blocks. The picture below re
presents three of the structures that she has built.
What number pattern is suggested by the number of blocks used in this sequence of structures?
What number pattern is suggested by the number of blocks used in this sequence of structures?
1 answer:
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Answer:
(a) Set of rational numbers
(b)
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
Where
a, b, c are of the same set.
In the given options (a) to (d), only
is not close under addition because:
is irrational while
is rational
<em>In other words, they belong to different set</em>
