Significant Figures

Round $3456$ to $2$ significant figures.

• 1The first $2$ significant figures are $3$ and $4$
• 2Look at the next digit ($5$): it rounds up, so $34$ becomes $35$
• 3Replace the remaining digits with zeros, to keep the number the right size

Answer: $3500$

Round $0.03847$ to $2$ significant figures.

• 1The first non-zero digit is $3$ — significant figures start there: $3$, $8$, $4$, $7$
• 2The first $2$ significant figures are $3$ and $8$
• 3Look at the next digit ($4$): it is below $5$, so round down (no change)

Answer: $0.038$