1. Which of these numbers can be classified as both real and rational?
½
-1.016879413894
Square root of 5
0.89089908999
2. Which is both a real number and an integer?
Square root of 7
0.15
-15
1/3
3. Which is an example of an irrational number?
Square root of -16
Square root of 25
Square root of -64
Square root of -101
4. Which statement is false?
Every integer is a real number
Every real number is a rational number
Every positive rational number has a square root
Every integer is a rational number
1. A - 1/2
2. C - -15
3. D - square root of-101
4. B -
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1.
1/2 is rational, thus real (any rational is automatically real)
-1.016879413894 --- can't tell from the way it was typed. No repetition is apparent, but no indication is given that it continuous.
If it terminates the way it was typed, then it is rational
the last two are irrational , assuming for the last one that the pattern shown continuous.
2.
-15 is both real and integer, the others are real.
3.
√25 is exact, thus rational
the other 3 are imaginary, that is, not real
4. Every real number is rational -- false
e.g. √5 is real, but not rational
the others are true