Question

Round off each of these measurements to three significant figures. For which measurement is the rounded value incorrect?

A) 98.5 L
B) 0.000763 cg
C) 57.0 m
D) 12.2 °C
E) 0.00750 × 10^4 mm
F) 1760 mL

Answer 1

The measurement that is incorrectly rounded to three significant figures is B) 0.000763 cg, which should be rounded to 7.63 x 10^-4 cg.

Step-by-step explanation:

The student asked to round off each measurement to three significant figures and determine which is incorrect. Let's review each measurement one by one:

• A) 98.5 L is already at three significant figures.
• B) 0.000763 cg rounds to 0.00076300 cg, which maintains seven significant figures, so it should be rounded to 7.63 x 10^-4 cg to have three significant figures.
• C) 57.0 m is already at three significant figures.
• D) 12.2 °C is already at three significant figures.
• E) 0.00750 x 10^4 mm is the same as 75.0 mm, which is already at three significant figures.
• F) 1760 mL is the same as 1.760 x 10^3 mL, which is already at three significant figures.

The measurement that was incorrectly rounded is B) 0.000763 cg. The correct rounding to three significant figures for this measurement is 7.63 x 10^-4 cg.