QQuestionMathematics
QuestionMathematics
Solve 23×12 by regrouping the numbers using the distributive property.
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Step 1:I'll solve this problem step by step using the specified LaTeX formatting guidelines:
Step 2:: Rewrite the multiplication using the distributive property
23 \times 12 = (20 + 3) \times 12
We can break down 23 into 20 + 3 to make the multiplication easier:
Step 3:: Distribute 12 across the terms
= (20 \times 12) + (3 \times 12)
Step 4:: Calculate 20 × 12
20 \times 12 = 240
Step 5:: Calculate 3 × 12
3 \times 12 = 36
Step 6:: Add the two partial products
240 + 36 = 276
Final Answer
Key Insights: - The distributive property allows us to break down complex multiplication - Regrouping numbers can simplify mental math - This method works by multiplying each part of the first number by the second number and then adding the results
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