Explain why it makes sense that (š/š) = 1.
Use the formula to evaluate and give examples.
If I put 131 people in 131 boxes, I have one person in each box. (Until one jumps out)
Suppose x = n/n
The multiplication property of multiplication lets you say
nx = n
the Fundamental Theorem of Arithmetic states that any integer has a unique prime factorization. Thus, the prime factors of nx and n are the same, meaning that x=1
So, n/n = 1
oops. that is equality property of multiplication ...
To explain why it makes sense that (n/n) = 1, let's break it down step by step.
First, let's recall that n/n is a fraction. In this case, both the numerator and denominator have the same value, which is represented by n.
When we divide a number by itself, we are essentially asking "how many times does the given number fit into itself?" Regardless of the value of n, the answer will always be 1. This is because any number divided by itself equals 1.
To evaluate the expression n/n, you can substitute a specific value for n. Let's consider a few examples:
Example 1: n = 5
In this case, the expression becomes (5/5) = 1.
Example 2: n = 10
Similarly, the expression becomes (10/10) = 1.
Example 3: n = 2
Again, the expression becomes (2/2) = 1.
In each example, you can see that n/n always equals 1. This reinforces the fact that dividing any number by itself will give you a result of 1.
So, it makes sense mathematically that (n/n) = 1 because dividing a number by itself will always yield a quotient of 1.