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Use the suitable property to simplify each of the following and also name them.
`348xx505`

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To simplify the expression \( 348 \times 505 \) using the suitable property, we can follow these steps: ### Step 1: Break down the number 505 We can express 505 as the sum of 500 and 5: \[ 505 = 500 + 5 \] ### Step 2: Apply the Distributive Property Using the Distributive Property of Multiplication, we can rewrite the expression: \[ 348 \times 505 = 348 \times (500 + 5) \] This can be expanded to: \[ 348 \times 505 = 348 \times 500 + 348 \times 5 \] ### Step 3: Calculate \( 348 \times 500 \) To calculate \( 348 \times 500 \), we can first multiply \( 348 \) by \( 5 \) and then add two zeros: \[ 348 \times 500 = 348 \times 5 \times 100 \] Calculating \( 348 \times 5 \): \[ 348 \times 5 = 1740 \] Now, adding the two zeros: \[ 348 \times 500 = 1740 \times 100 = 174000 \] ### Step 4: Calculate \( 348 \times 5 \) Now, we calculate \( 348 \times 5 \): \[ 348 \times 5 = 1740 \] ### Step 5: Add the two results together Now, we add the results from Step 3 and Step 4: \[ 348 \times 505 = 174000 + 1740 \] Calculating this gives: \[ 174000 + 1740 = 175740 \] ### Final Answer Thus, the simplified result of \( 348 \times 505 \) is: \[ \boxed{175740} \]
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