Hi There-
I really need help with this. I'm kind of confused and don't have an answer. if you could explain it ill give you my answer once I understand it.
how does the product of a fraction and a whole number compare to the whole number?
A. the product is less than the whole number
B. the product is less or equal to the whole number
C. the product equals the whole number
D. the product is greater than the whole number
Thanks to whoever answers this.:)
Did you try it?
What is half of 8?
(1/2) * 8 = ?
If the fraction is an improper fraction, the product is greater than the whole
number.
To understand how the product of a fraction and a whole number compares to the whole number, let's break it down step by step.
First, recall that a fraction is a part of a whole. It is written in the form of numerator/denominator, where the numerator represents the part and the denominator represents the whole.
When you multiply a fraction by a whole number, you are essentially multiplying the part of the whole (numerator) by that whole number.
Now, consider the possibilities:
1. If the fraction is less than 1 (e.g., 1/2), when you multiply it by a whole number, the product will be smaller than the whole number. For example, multiplying 1/2 by 4 gives you 2, which is less than the whole number 4.
2. If the fraction is equal to 1 (e.g., 1/1 or 2/2), when you multiply it by a whole number, the product will be equal to the whole number. For example, multiplying 1/1 by 5 gives you 5, which is the same as the whole number 5.
3. If the fraction is greater than 1 (e.g., 3/2), when you multiply it by a whole number, the product will be greater than the whole number. For example, multiplying 3/2 by 3 gives you 9/2, which is greater than the whole number 3.
Based on these possibilities, we can conclude that the product of a fraction and a whole number can be less than, equal to, or greater than the whole number, depending on the value of the fraction.
Now, for your multiple-choice question:
The options are:
A. the product is less than the whole number
B. the product is less or equal to the whole number
C. the product equals the whole number
D. the product is greater than the whole number
Based on our explanation, we can eliminate options C and D because we've established that the product can be either less than or greater than the whole number.
So, the correct answer is option B: the product is less or equal to the whole number.
I hope this clarifies things for you. If you have any more questions, feel free to ask!