To estimate the product of 22 and 2.3 by rounding each number to its greatest place value:
- Round 22 to its greatest place value: 22 rounds to 20.
- Round 2.3 to its greatest place value: 2.3 rounds to 2.
Now, multiply the rounded numbers:
\[ 20 \times 2 = 40 \]
Therefore, the estimated product of 22 x 2.3 is approximately 40.