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QuestionMathematics

Explain how you can use the distributive property to solve 9×4.
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Answer

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Step 1:
I'll solve this problem step by step using the distributive property:

Step 2:
: Understand the Distributive Property

The distributive property allows us to break down multiplication into simpler parts. For 9×4, we can break 9 into more manageable numbers.

Step 3:
: Decompose 9 into a More Convenient Form

9 = 10 - 1
We can break 9 into 10 - 1:

Step 4:
: Apply the Distributive Property

9 \times 4 = (10 - 1) \times 4
Now we can rewrite the multiplication:

Step 5:
: Distribute the Multiplication

= (10 \times 4) - (1 \times 4)

Step 6:
: Calculate Each Part

= 40 - 4

Step 7:
: Perform the Final Subtraction

= 36

Final Answer

Key Insight: The distributive property allows us to break down complex multiplication into simpler, more manageable calculations by separating numbers into their component parts.