What is the area of this rectangle? A rectangle that is partitioned into two rectangles. The first rectangle has a measurement o
1 answer:
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Answers:
- a) √64
- b) 0, √64
- c) -2, 0, √64
- d) -2, -2/7, 0, 0.3, 7.1, √64
- e) √7
- f) -2, -2/7, 0, 0.3, √7, 7.1, √64
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Explanations:
Part (a)
The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers. We don't include 0. Note that to show that it's part of the set of natural numbers. Something like -2 is not in the set, same for -2/7, etc.
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Part (b)
The set of whole numbers is {0,1,2,3,...} which is almost identical to the previous set, but we're now including 0.
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Part (c)
The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...}
We are including the negative values as well as the positive values too. Zero is included.
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Part (d)
Any rational number is of the form p/q, where p,q are integers and q is nonzero. Something like -2/7 is rational. Here we have p = -2 and q = 7.
Any whole number is rational. Eg: 8 = 8/1
Any decimal that terminates is rational. The value 7.1 is the same as 71/10
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Part (e)
If a number isn't rational, then it's considered irrational.
Something like is irrational because 7 isn't a perfect square.
The decimal version of the number goes on forever without any pattern. So this is more evidence it's irrational.
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Part (f)
If your teacher hasn't covered imaginary or complex numbers, then every value you encounter so far is a real number.