Which list of numbers contains ONLY integers?
a
\large -5.3,0,\sqrt{4}
b
\large \pi,\frac{5}{7},8
c
\large -5,0,\sqrt{25}
d
\large -\sqrt{60},-\frac{8}{3},2\pi
c
-5,0,\sqrt{25}
This is correct.
The list of numbers that contains ONLY integers is:
c
\large -5,0,\sqrt{25}
To determine which list of numbers contains only integers, we need to understand what an integer is.
An integer is a whole number that can be positive, negative, or zero, and it does not have any fractional or decimal parts.
Now let's go through each option and see which one contains only integers:
a) -5.3, 0, √4
-5.3 is not an integer because it has a decimal part. √4 is equal to 2, which is an integer, and 0 is also an integer. Therefore, this list contains both integers and non-integers.
b) π, 5/7, 8
π is not an integer because it is a transcendental number (a non-repeating, non-terminating decimal). 5/7 is a fraction, and 8 is an integer. So, this list contains both non-integers and an integer.
c) -5, 0, √25
-5 is an integer because it is a whole number with a negative sign. 0 is also an integer because it does not have any fractional or decimal parts. √25 is equal to 5, which is an integer. Hence, this list contains only integers.
d) -√60, -8/3, 2π
-√60 is not an integer because it has a decimal part. -8/3 is a fraction, and 2π is not an integer because π is not an integer. Therefore, this list contains both non-integers and a fraction.
Therefore, the list of numbers that contains ONLY integers is option c.