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Find the product by suitable rearrangement:
`625xx279xx16`

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To find the product of \( 625 \times 279 \times 16 \) by suitable rearrangement, we can follow these steps: ### Step 1: Rearranging the Numbers We can rearrange the numbers to make the multiplication easier. Let's rearrange it as: \[ 625 \times 16 \times 279 \] ### Step 2: Calculate \( 625 \times 16 \) Now, we will first calculate \( 625 \times 16 \). We can break down \( 625 \) as \( 25 \times 25 \) and \( 16 \) as \( 4 \times 4 \): \[ 625 \times 16 = (25 \times 25) \times (4 \times 4) \] This can be rearranged as: \[ = 25 \times 4 \times 25 \times 4 \] ### Step 3: Calculate \( 25 \times 4 \) Now, let's calculate \( 25 \times 4 \): \[ 25 \times 4 = 100 \] ### Step 4: Substitute Back Now we substitute back into our expression: \[ 625 \times 16 = 100 \times 25 \times 4 = 100 \times 100 \] So, we have: \[ 625 \times 16 = 100^2 = 10000 \] ### Step 5: Multiply by 279 Now we need to multiply \( 10000 \) by \( 279 \): \[ 10000 \times 279 \] ### Step 6: Calculate the Final Product To calculate \( 10000 \times 279 \), we can simply append four zeros to \( 279 \): \[ 10000 \times 279 = 2790000 \] ### Final Answer Thus, the product of \( 625 \times 279 \times 16 \) is: \[ \boxed{2790000} \]
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