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Solve using brackets: 203xx42...

Solve using brackets:
`203xx42`

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The correct Answer is:
To solve the expression \(203 \times 42\) using brackets, we can break down the numbers into their components and then apply the distributive property. Here’s a step-by-step solution: ### Step 1: Break down the numbers We can express \(203\) and \(42\) as: - \(203 = 200 + 3\) - \(42 = 40 + 2\) ### Step 2: Set up the expression with brackets Now we can rewrite the multiplication using brackets: \[ 203 \times 42 = (200 + 3) \times (40 + 2) \] ### Step 3: Apply the distributive property Now we will distribute each term in the first bracket to each term in the second bracket: \[ (200 + 3) \times (40 + 2) = 200 \times 40 + 200 \times 2 + 3 \times 40 + 3 \times 2 \] ### Step 4: Calculate each multiplication Now we will calculate each of these products: 1. \(200 \times 40 = 8000\) 2. \(200 \times 2 = 400\) 3. \(3 \times 40 = 120\) 4. \(3 \times 2 = 6\) ### Step 5: Add all the results together Now we will add all the results from the multiplications: \[ 8000 + 400 + 120 + 6 \] Calculating this step-by-step: - \(8000 + 400 = 8400\) - \(8400 + 120 = 8520\) - \(8520 + 6 = 8526\) ### Final Answer Thus, the final answer is: \[ 203 \times 42 = 8526 \]
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