Rounding the first number, you have
![2.34\approx2.3\approx2](https://img.qammunity.org/2023/formulas/mathematics/college/5a67m6ikto1e79l7wltzj06uvj6b3hdd6u.png)
because the number is rounded down if the digit to the right is less than 5.
Rounding the second number, you have
![6.9\approx7](https://img.qammunity.org/2023/formulas/mathematics/college/gh568vhjfpq4geeriqfbjlvf61v0pwn5nm.png)
because the number is rounded up if the digit to the right is greater than 5.
Therefore, estimating and calculating, you have
![2.34\cdot6.9\approx2\cdot7=14](https://img.qammunity.org/2023/formulas/mathematics/college/zwwn7dh5on466c75w0ccdlwor48cideijr.png)