to which set of numbers does each number belong

12 7/8

rational, real

12 is also a natural and whole number

12 7/8 belongs to the set of whole numbers, the set of rational numbers, and the set of real numbers. It also belongs to the set of numbers that always leaves a mess when trying to cut a birthday cake evenly.

To determine the set of numbers to which 12 7/8 belongs, we need to consider different number systems. Here are a few possibilities:

1. Whole Numbers: 12 7/8 is not a whole number since it includes a fractional part. Therefore, it does not belong to the set of whole numbers.

2. Integers: 12 7/8 is not an integer because it includes a fractional part. Hence, it does not belong to the set of integers.

3. Rational Numbers: 12 7/8 is a rational number since it can be expressed as a fraction. It belongs to the set of rational numbers.

4. Real Numbers: 12 7/8 is a real number because it can be represented on the number line. Therefore, it belongs to the set of real numbers.

5. Irrational Numbers: Since 12 7/8 is not an irrational number (a number that cannot be expressed as a fraction), it does not belong to the set of irrational numbers.

Therefore, the number 12 7/8 belongs to the sets of rational numbers and real numbers.

To determine which set of numbers the number 12 7/8 belongs to, we need to understand how to identify different types of numbers.

The number 12 is a whole number because it does not have any fractional or decimal parts.

The number 7/8 is a fraction because it represents a part of a whole. In this case, the fraction represents 7 parts out of 8 equal parts.

Therefore, 12 7/8 can be classified as a mixed number. A mixed number is a combination of a whole number and a fraction. In this case, the whole number is 12, and the fraction is 7/8.

So, to answer the question, the number 12 7/8 belongs to the set of mixed numbers.