Which is both a real number and an integer?
(1 point)
the square root of 7.
0.15
– 15
1/3
– 15
The only option that is both a real number and an integer is -15.
To determine which is both a real number and an integer, we need to understand the properties of real numbers and integers.
Real numbers include all rational and irrational numbers, while integers are a subset of real numbers that include positive numbers, negative numbers, and zero, without any fractional or decimal parts.
Let's evaluate each option:
1. The square root of 7: The square root of 7 is an irrational number because it cannot be expressed as a fraction or a decimal. Therefore, it is a real number, but not an integer.
2. 0.15: 0.15 is a rational number because it can be expressed as a fraction (15/100) or a decimal. However, it is not an integer because it has a decimal part.
3. -15: -15 is an integer because it is a whole number with no decimal part. It is also a real number since it is a subset of the real number system. Therefore, -15 is both a real number and an integer.
4. 1/3: 1/3 is a rational number because it can be expressed as a fraction. However, it is not an integer because it has a fractional part. Therefore, 1/3 is a real number but not an integer.
In conclusion, the only option that is both a real number and an integer is -15.