The Distributive Property Practice
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Question
Given the sum 70=25+45, rewrite 25+45 using their GCF and multiplication.(1 point)
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The GCF of 25 and 45 is 5. Therefore, we can rewrite 25+45 as 5(5+9).
Thnxs thats correct
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To rewrite 25+45 using their greatest common factor (GCF) and multiplication, we need to find the GCF of 25 and 45.
The prime factorization of 25 is: 5 * 5
The prime factorization of 45 is: 5 * 3 * 3
The common factors are 5, so the GCF is 5.
To rewrite 25+45 using their GCF and multiplication, we can write it as:
25 + 45 = (5 * 5) + (5 * 9)
Now we can use the distributive property to rewrite it as:
25 + 45 = 5 * (5 + 9)
Therefore, 25 + 45 can be rewritten as 5 * (5 + 9).
To rewrite 25 + 45 using the greatest common factor (GCF) and multiplication, we first need to find the GCF of 25 and 45.
To find the GCF, we can list the factors of both numbers and see which ones they have in common.
Factors of 25: 1, 5, 25
Factors of 45: 1, 3, 5, 9, 15, 45
From this list, we can see that the GCF of 25 and 45 is 5.
Now we can rewrite 25 + 45 using their GCF and multiplication.
25 + 45 can be written as 5*(5 + 9).
Therefore, the rewritten expression using the GCF and multiplication is 5*(5 + 9).