1) Estimate the product by rounding each number to its greatest place value. \( 2,342.7 \times 784.3= \)
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To estimate the product, we round each number to its greatest place value. For \( 2,342.7 \), we round it to \( 2,000 \) since the greatest place value is in the thousands. For \( 784.3 \), we round it to \( 800 \) as its greatest place value is in the hundreds. Now we multiply the rounded values: \( 2,000 \times 800 = 1,600,000 \). Therefore, the estimated product is approximately \( 1,600,000 \). When estimating products, rounding can lead to significantly simplified calculations, allowing for quick mental math! Remember, the goal is to find an approximation, not an exact answer.
