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Solve, using properties/ methods that si...

Solve, using properties/ methods that simplify the calculations:
`336xx35`

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To solve the multiplication problem \( 336 \times 35 \) using properties that simplify calculations, we can use the distributive property. Here’s a step-by-step solution: ### Step 1: Break down the numbers We can express \( 336 \) and \( 35 \) in a way that makes the multiplication easier: - \( 336 = 300 + 36 \) - \( 35 = 30 + 5 \) ### Step 2: Apply the distributive property Now, we can use the distributive property to multiply these two expressions: \[ 336 \times 35 = (300 + 36) \times (30 + 5) \] ### Step 3: Expand the expression Using the distributive property, we can expand this as follows: \[ = 300 \times 30 + 300 \times 5 + 36 \times 30 + 36 \times 5 \] ### Step 4: Calculate each term Now, we calculate each of these products: 1. \( 300 \times 30 = 9000 \) 2. \( 300 \times 5 = 1500 \) 3. \( 36 \times 30 = 1080 \) 4. \( 36 \times 5 = 180 \) ### Step 5: Add all the products together Now, we sum all these results: \[ 9000 + 1500 + 1080 + 180 \] Calculating this step-by-step: - \( 9000 + 1500 = 10500 \) - \( 10500 + 1080 = 11580 \) - \( 11580 + 180 = 11760 \) ### Final Answer Thus, the final answer is: \[ 336 \times 35 = 11760 \] ---
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