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Solve using brackets to simplify the cal...

Solve using brackets to simplify the calculations:
`9xx52`

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To solve the problem \( 9 \times 52 \) using brackets to simplify the calculations, we can follow these steps: ### Step-by-Step Solution: 1. **Rewrite the Numbers**: We can express \( 9 \) as \( 10 - 1 \) and \( 52 \) as \( 50 + 2 \). So, we rewrite the expression: \[ 9 \times 52 = (10 - 1) \times (50 + 2) \] 2. **Apply the Distributive Property**: Now, we will apply the distributive property (also known as the FOIL method for binomials): \[ (10 - 1) \times (50 + 2) = 10 \times 50 + 10 \times 2 - 1 \times 50 - 1 \times 2 \] 3. **Calculate Each Term**: Now, we calculate each of these products: - \( 10 \times 50 = 500 \) - \( 10 \times 2 = 20 \) - \( -1 \times 50 = -50 \) - \( -1 \times 2 = -2 \) 4. **Combine the Results**: Now we combine all these results: \[ 500 + 20 - 50 - 2 \] 5. **Perform the Addition and Subtraction**: - First, add \( 500 + 20 = 520 \) - Then, subtract \( 50 \): \( 520 - 50 = 470 \) - Finally, subtract \( 2 \): \( 470 - 2 = 468 \) 6. **Final Result**: Therefore, the result of \( 9 \times 52 \) is: \[ \boxed{468} \]
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