Hi guys, I had a question on an assignment and I was hoping someone could help walk me through it. Here is the problem. Thanks!
Identify the property of real numbers shown in each situation.
You can find the cost of fish by multiplying the price per pound by the amount or by multiplying the amount by the price per pound.
I think I know the right answer but I just wanted someone to walk me through it in case I missed a step. Please respond as soon as you can. Ty!
walk you through what? What steps? There are only a few properties to choose from.
If you chose "commutative property of multiplication" you're right, though I cannot imagine why you would not just say so.
Sorry, I'm new to this whole thing, I only started my freshman this week. So, I'm just learning about this topic. I was thinking about the commutative property of multiplication as the answer, I just wanted to be sure. Thanks for your help :)
Sure, I can help you with that!
In this problem, you are asked to identify the property of real numbers shown in the situation described. Let's break down the problem and go step by step.
The situation states that "You can find the cost of fish by multiplying the price per pound by the amount or by multiplying the amount by the price per pound."
To identify the property of real numbers being shown here, we need to understand the different properties and their definitions. Let me explain a few important properties:
1. Commutative Property: This property states that the order of numbers can be changed without affecting the result. For addition, it can be written as a + b = b + a, and for multiplication, it is expressed as a * b = b * a.
2. Associative Property: This property states that the grouping of numbers can be changed without affecting the result. For addition, it can be written as (a + b) + c = a + (b + c), and for multiplication, it is expressed as (a * b) * c = a * (b * c).
Now, let's apply these properties to the given situation:
In this case, we have two options to find the cost of fish: multiplying the price per pound by the amount or multiplying the amount by the price per pound.
Let's say the price per pound is represented by "p" and the amount is represented by "a".
Option 1: Multiplying the price per pound by the amount: p * a
Option 2: Multiplying the amount by the price per pound: a * p
Now, if we compare Option 1 and Option 2, we can see that the result is the same regardless of whether we multiply the price per pound first and then multiply by the amount, or vice versa.
For example, if the price per pound is $2 and the amount is 5 pounds, Option 1 (2 * 5) would give us a cost of $10. Option 2 (5 * 2) would also give us a cost of $10.
So, based on the given situation, the property being shown here is the Commutative Property of Multiplication. This property allows us to change the order of the numbers being multiplied without affecting the result.
I hope that clarifies the problem for you! If you have any further questions, feel free to ask.