Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Sure, let's solve this problem step-by-step.
### Step 1: Identify the GCF of 36 and 45
First, find the Greatest Common Factor (GCF) of the numbers 36 and 45. The GCF of 36 and 45 is 9.
### Step 2: Express each number as a product of the GCF and another number
Next, we need to express each given number as a product of its GCF (which we found to be 9) and another factor.
So,
For 36:
[tex]\[ 36 = 9 \times 4 \][/tex]
For 45:
[tex]\[ 45 = 9 \times 5 \][/tex]
### Step 3: Rewrite the original sum using the Distributive Property
Now, we are going to rewrite the sum [tex]\( 36 + 45 \)[/tex] using the Distributive Property.
[tex]\[ 36 + 45 \][/tex]
We substitute the products we found:
[tex]\[ (9 \times 4) + (9 \times 5) \][/tex]
Next, factor out the common factor (which is 9):
[tex]\[ 9 \times (4 + 5) \][/tex]
### Step 4: Simplify the expression inside the parentheses
Finally, simplify the expression inside the parentheses:
[tex]\[ 4 + 5 = 9 \][/tex]
So, the rewritten sum is:
[tex]\[ 36 + 45 = 9 \times 9 \][/tex]
### Final Answer
Rewriting the sum of 36 and 45 as a product using the distributive property gives:
[tex]\[ 36 + 45 = 9 \times (4 + 5) = 9 \times 9 = 81 \][/tex]
So, filling in the boxes:
[tex]\[ 9 \times (4 + 5) \][/tex]
In conclusion:
[tex]\[ \boxed{36 + 45 = 9 \times (4 + 5)} \][/tex]
This uses the distributive property to rewrite the sum as asked.
### Step 1: Identify the GCF of 36 and 45
First, find the Greatest Common Factor (GCF) of the numbers 36 and 45. The GCF of 36 and 45 is 9.
### Step 2: Express each number as a product of the GCF and another number
Next, we need to express each given number as a product of its GCF (which we found to be 9) and another factor.
So,
For 36:
[tex]\[ 36 = 9 \times 4 \][/tex]
For 45:
[tex]\[ 45 = 9 \times 5 \][/tex]
### Step 3: Rewrite the original sum using the Distributive Property
Now, we are going to rewrite the sum [tex]\( 36 + 45 \)[/tex] using the Distributive Property.
[tex]\[ 36 + 45 \][/tex]
We substitute the products we found:
[tex]\[ (9 \times 4) + (9 \times 5) \][/tex]
Next, factor out the common factor (which is 9):
[tex]\[ 9 \times (4 + 5) \][/tex]
### Step 4: Simplify the expression inside the parentheses
Finally, simplify the expression inside the parentheses:
[tex]\[ 4 + 5 = 9 \][/tex]
So, the rewritten sum is:
[tex]\[ 36 + 45 = 9 \times 9 \][/tex]
### Final Answer
Rewriting the sum of 36 and 45 as a product using the distributive property gives:
[tex]\[ 36 + 45 = 9 \times (4 + 5) = 9 \times 9 = 81 \][/tex]
So, filling in the boxes:
[tex]\[ 9 \times (4 + 5) \][/tex]
In conclusion:
[tex]\[ \boxed{36 + 45 = 9 \times (4 + 5)} \][/tex]
This uses the distributive property to rewrite the sum as asked.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.