Final answer:
Equivalent numbers have the same value. The numbers 1, 3, and 3/1 are equivalent to 3, whereas 1/3 and 3/3 are equivalent to 1/3 and 1 respectively.
Step-by-step explanation:
The student is asking about identifying equivalent numbers, specifically with the numbers provided (1, 3, 3/1, 1/3, 3/3). In mathematics, two numbers are considered equivalent if they have the same value. We can see that the number 1 can be represented as a whole number, as a fraction (1/1), or even as a fraction like 3/3 which equals 1 when simplified. Similarly, the number 3 can be represented as a whole number or as a fraction like 3/1. The fraction 1/3 is not equivalent to 1 or 3. It represents a third of a whole.
When dealing with fractions, remember that a fraction like 3/3 has a numerator of 3 and a denominator of 3, which means it is equal to one whole, since any number divided by itself is 1. This is similar to the concept of 'multiplying by 1' in a unit conversion process where different units cancel out leaving the desired units unchanged. So, the numbers 1, 3, and 3/1 are all equivalent to 3, while 1/3 and 3/3 are equivalent to 1/3 and 1 respectively.