Questions: parxmaths.uk Maths 4.572 XP Roo Holcombe Mer 4A 4B 4C 4D Summary Bookwork code: 4D Calculator not allowed Round 7982 to 2 significant figures. Watch video

Solution Steps

To round a number to a specified number of significant figures, identify the first two non-zero digits and round the number based on the third digit. If the third digit is 5 or greater, round up the second significant figure; otherwise, leave it as is.

To round the number \( 7982 \) to \( 2 \) significant figures, we first identify the first two non-zero digits. The first two significant figures in \( 7982 \) are \( 7 \) and \( 9 \).

Next, we look at the digit immediately following the second significant figure, which is \( 8 \). Since \( 8 \geq 5 \), we round up the second significant figure \( 9 \) to \( 10 \).

Rounding \( 9 \) up to \( 10 \) means we need to increase the first significant figure \( 7 \) by \( 1 \), resulting in \( 8 \). Therefore, we replace the digits after the first two significant figures with zeros, leading to \( 8000 \).

Final Answer