Use the GCF and the Distributive Property to find the sum. 30plus66 Question content area bottom Part 1...

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Use the GCF and the Distributive Property to find the sum.
30plus66
Question content area bottom
Part 1
Write each number as a product using the GCF as a factor, and apply the Distributive Property.
30plus66equals

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(Use the operation symbols in the math palette as needed. Do not simplify.)Use the GCF and the Distributive Property to find the sum.
30plus66
Question content area bottom
Part 1
Write each number as a product using the GCF as a factor, and apply the Distributive Property.
30plus66equals

enter your response here
(Use the operation symbols in the math palette as needed. Do not simplify.)

SnapAndSolve AI · Accepted Answer

To find the sum of 30 and 66 using the GCF and the Distributive Property, we first determine the greatest common factor (GCF) of the two numbers.
1. **Identify the GCF**:
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
- The factors of 66 are: 1, 2, 3, 6, 11, 22, 33, 66
- The GCF of 30 and 66 is 6.
2. **Express each number as a product of the GCF**:
- For 30: \(30 = 6 \times 5\)
- For 66: \(66 = 6 \times 11\)
3. **Apply the Distributive Property**:
\[
30 + 66 = (6 \times 5) + (6 \times 11)
\]
4. **Factor out the GCF**:
\[
(6 \times 5) + (6 \times 11) = 6 \times (5 + 11)
\]
Putting this all together, we have:
30 + 66 = (6 × 5) + (6 × 11) = 6 × (5 + 11)

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Use the GCF and the Distributive Property to find the sum. 30plus66 Question content area bottom Part 1...

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