Final answer:
To rewrite the sum 100 = 64 * 36 using the GCF, we represent 64 as 4 * 16 and 36 as 4 * 9; thus, 64 * 36 is expressed as (4 * 16) * (4 * 9). The GCF of 64 and 36 is 4. This does not simplify the expression but breaks it into components.
Step-by-step explanation:
The given sum 100 = 64 * 36 can be rewritten by finding the greatest common factor (GCF) of 64 and 36. The GCF of 64 and 36 is 4. Therefore, we can factor both 64 and 36 by writing them as a product of their GCF and another factor. So, 64 can be written as 4 * 16, and 36 can be written as 4 * 9.
Now, rewriting the multiplication using these factors, we get:
- 64 * 36 = (4 * 16) * (4 * 9)
Note: While this demonstrates breaking down the numbers using their GCF, the result of (4 * 16) * (4 * 9) does not simplify the original expression but rather breaks it down into its component multiplications. To simplify, we would need to look for a common factor of both terms to factor out.