Estimate the product 306 x 673 by first rounding each number to the nearest hundred

Answer 1

To estimate the product \( 306 \times 673 \) by rounding each number to the nearest hundred:

1. Round \( 306 \) to the nearest hundred:

   • Since \( 306 \) is closer to \( 300 \) than to \( 400 \), it rounds to \( 300 \).

2. Round \( 673 \) to the nearest hundred:

   • Since \( 673 \) is closer to \( 700 \) than to \( 600 \), it rounds to \( 700 \).

Now, we can multiply the rounded numbers:

\[ 300 \times 700 = 210000 \]

Thus, the estimated product of \( 306 \times 673 \) is \( \approx 210000 \).