Rounding Significant Figures 290462

1. **State the problem:** We need to round the number $7844$ to $2$ significant figures. 2. **Recall the rule for significant figures:** To round to $2$ significant figures, we keep the first two digits and round the rest based on the third digit. 3. **Identify the first two significant digits:** The first two digits of $7844$ are $7$ and $8$. 4. **Look at the third digit to decide rounding:** The third digit is $4$. 5. **Apply rounding rule:** Since the third digit $4$ is less than $5$, we do not round up the second digit. 6. **Replace remaining digits with zeros:** After rounding, the number becomes $7800$. **Final answer:** $7844$ rounded to $2$ significant figures is $7800$.