Final answer:
The sum of 3 + 2 is 5, which must be classified according to the options provided. 5 is an integer, a rational number, and a real number, thus b), c), and d) are the correct classifications.
Step-by-step explanation:
The sum of 3 + 2 is 5, which is a simple arithmetic calculation. Now, let's classify the number 5 according to the options given:
- a) Irrational numbers - No, because irrational numbers cannot be expressed as a simple fraction or as a terminating or repeating decimal. 5 can be expressed as 5/1, which is a simple fraction.
- b) Integers - Yes, because integers include all whole numbers, both positive and negative, as well as zero. 5 is a whole number and is therefore an integer.
- c) Rational numbers - Yes, because rational numbers include all numbers that can be expressed as a fraction with integers in both the numerator and denominator. As mentioned, 5 can be written as 5/1, making it a rational number.
- d) Real numbers - Yes, because real numbers include all rational and irrational numbers. Since 5 is a rational number, it is also a real number.
Therefore, the terms 'integers', 'rational numbers', and 'real numbers' can all be used to classify the sum of 3 + 2.