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Solve using brackets to simplify the cal...

Solve using brackets to simplify the calculations:
`502xx58`

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To solve the multiplication problem \(502 \times 58\) using brackets to simplify the calculations, we can break it down into smaller parts. Here’s a step-by-step solution: ### Step 1: Rewrite the numbers We can express \(502\) as \(500 + 2\) and \(58\) as \(50 + 8\). Therefore, we rewrite the multiplication as: \[ 502 \times 58 = (500 + 2) \times (50 + 8) \] ### Step 2: Use the distributive property Now, we will apply the distributive property (also known as the FOIL method for binomials) to expand the expression: \[ (500 + 2) \times (50 + 8) = 500 \times 50 + 500 \times 8 + 2 \times 50 + 2 \times 8 \] ### Step 3: Calculate each multiplication Now we will calculate each term: 1. \(500 \times 50 = 25000\) 2. \(500 \times 8 = 4000\) 3. \(2 \times 50 = 100\) 4. \(2 \times 8 = 16\) ### Step 4: Add all the results together Now we add all the results from the multiplications: \[ 25000 + 4000 + 100 + 16 \] ### Step 5: Perform the addition Now, we will add these numbers step by step: 1. \(25000 + 4000 = 29000\) 2. \(29000 + 100 = 29100\) 3. \(29100 + 16 = 29116\) ### Final Answer Thus, the final result of \(502 \times 58\) is: \[ \boxed{29116} \] ---
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