Tasha believes that she can rewrite the difference 60 − 36 as a product of the GCF of the two numbers and another difference. Is she correct? Complete the explanation.
To determine whether Tasha is correct in her belief, let's first find the Greatest Common Factor (GCF) of the two numbers, 60 and 36.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The common factors of 60 and 36 are 1, 2, 3, 4, 6, and 12.
So, the GCF of 60 and 36 is 12.
Now let's calculate the difference between 60 and 36:
60 - 36 = 24.
Comparing the GCF (12) with the difference (24), we can observe that the GCF is not a factor of the difference in this case. Thus, Tasha is not correct in her belief that she can rewrite the difference 60 - 36 as a product of the GCF and another difference.
To determine whether Tasha's belief is correct, we first need to find the greatest common factor (GCF) of 60 and 36. The GCF is the largest positive integer that divides both numbers without leaving a remainder.
One way to find the GCF is by listing the factors of each number and finding their common factors. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The common factors of 60 and 36 are 1, 2, 3, 4, 6, and 12. Therefore, the GCF is 12.
Now, let's rewrite the difference 60 − 36 using the GCF and another difference. We have:
60 − 36 = (GCF of 60 and 36) × (another difference)
Substituting the GCF of 12, we get:
60 − 36 = 12 × (another difference)
To check if 12 × (another difference) is equal to 60 − 36, we can calculate the value of 12 × (another difference). If the result matches 60 − 36, then Tasha's belief is correct. Otherwise, her belief is incorrect.
Let's calculate:
12 × (another difference) = 12 × (The value of "another difference")
If the result of this calculation is equal to 60 − 36, then Tasha's belief is confirmed. Otherwise, she is incorrect.
To determine the value of "another difference," we need additional information or context related to the problem.
WOW U SMART
sure thing:
60 − 36
= 12(5-3)