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How would you express 16+ 40 using the GCF and the distributive property?​

User KFunk
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Answer:

Step-by-step explanation:To express 16 + 40 using the GCF (Greatest Common Factor) and the distributive property, we can break down the numbers into their factors and then use the distributive property to simplify the expression. Step 1: Find the factors of each number: - The factors of 16 are 1, 2, 4, 8, and 16. - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. Step 2: Find the greatest common factor (GCF) of 16 and 40: - The common factors of 16 and 40 are 1, 2, 4, and 8. - The greatest common factor (GCF) of 16 and 40 is 8. Step 3: Rewrite the expression using the GCF and the distributive property: 16 + 40 = (8 × 2) + (8 × 5) Step 4: Apply the distributive property by multiplying the GCF with each term inside the parentheses: 16 + 40 = 16 + (8 × 2) + (8 × 5) Step 5: Simplify the expression: 16 + 40 = 16 + 16 + 40 Step 6: Combine like terms: 16 + 40 = 32 + 40 Step 7: Add the numbers: 16 + 40 = 72 So, using the GCF and the distributive property, we can express 16 + 40 as 72.

User Kwangsa
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