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Short Answer📘 6.NS.B.4🧠 DOK 2
Question:
Find the greatest common factor (GCF) and the least common multiple (LCM) of the numbers 18 and 24. Then, use the distributive property to express the sum of 18 and 24 as a product of their GCF and another sum.
✅ Answer:
The GCF of 18 and 24 is 6, and the LCM is 72. Using the distributive property, 18 + 24 can be expressed as 6(3 + 4).
💡 Explanation:
To find the GCF, list the factors of each number: 18 (1, 2, 3, 6, 9, 18) and 24 (1, 2, 3, 4, 6, 8, 12, 24).
The greatest common factor is 6.
For the LCM, list the multiples: 18 (18, 36, 54, 72, ...) and 24 (24, 48, 72, ...).
The least common multiple is 72.
Using the distributive property, 18 + 24 equals 42, and it can be rewritten as 6(3 + 4) because 6 is the greatest common factor.
Standard: 6.NS.B.4 | DOK: 2