To estimate the product of 20.1 and 29.8, we can round each number to a more manageable figure:
- Round 20.1 to 20
- Round 29.8 to 30
Now we can multiply the rounded numbers:
\[ 20 \times 30 = 600 \]
So, our estimate for \( 20.1 \times 29.8 \) is approximately 600.
Next, let's calculate the exact product for accuracy:
\[ 20.1 \times 29.8 = 20.1 \times (30 - 0.2) \] Using the distributive property:
\[ = 20.1 \times 30 - 20.1 \times 0.2 \] \[ = 603 - 4.02 \] \[ = 598.98 \]
Therefore, the exact product of \( 20.1 \times 29.8 \) is 598.98.
In summary:
- Estimated result: 600
- Exact result: 598.98