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5358 xx 51 = ?...

`5358 xx 51 = ?`

A

273358

B

273258

C

273348

D

273268

Text Solution

AI Generated Solution

The correct Answer is:
To solve the multiplication problem \( 5358 \times 51 \), we can break it down into simpler steps. Here's how we can do it step by step: ### Step 1: Break Down 51 We can express 51 as \( 50 + 1 \). This will make the multiplication easier. \[ 5358 \times 51 = 5358 \times (50 + 1) \] ### Step 2: Distribute the Multiplication Using the distributive property, we can now multiply \( 5358 \) by \( 50 \) and \( 1 \) separately. \[ 5358 \times 51 = 5358 \times 50 + 5358 \times 1 \] ### Step 3: Calculate \( 5358 \times 1 \) This is straightforward: \[ 5358 \times 1 = 5358 \] ### Step 4: Calculate \( 5358 \times 50 \) To multiply by 50, we can first multiply by 100 and then divide by 2: \[ 5358 \times 50 = (5358 \times 100) \div 2 \] Calculating \( 5358 \times 100 \): \[ 5358 \times 100 = 535800 \] Now divide by 2: \[ 535800 \div 2 = 267900 \] ### Step 5: Add the Two Results Now, we add the results from Step 3 and Step 4: \[ 267900 + 5358 = 273258 \] ### Final Answer Thus, the result of \( 5358 \times 51 \) is: \[ \boxed{273258} \] ---
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