Given the sum 70=25+45, rewrite 25+45 using their GCF and multiplication.(1 point)
The greatest common factor (GCF) of 25 and 45 is 5. To rewrite 25+45 using their GCF and multiplication, we can divide the numbers by their GCF and then multiply.
25 divided by 5 equals 5 and 45 divided by 5 equals 9.
Therefore, we can rewrite 25+45 as 5(5) + 9(5).
To rewrite 25+45 using their greatest common factor (GCF) and multiplication, we first need to find the GCF of 25 and 45.
The prime factorization of 25 is 5 * 5.
The prime factorization of 45 is 3 * 3 * 5.
The common prime factor is 5.
To find the GCF, we take the product of the common prime factors with the lowest exponents. In this case, it is 5 * 5 = 25.
Therefore, we can rewrite 25+45 as 25 * (1+45/25).
Simplifying further:
25 * (1+45/25) = 25 * (1+9/5)
= 25 * (5/5 + 9/5)
= 25 * (14/5)
= ((25 * 14)/5)
So, the rewritten form of 25+45 using their GCF and multiplication is ((25 * 14)/5).