The problem asks to determine the length of a line segment using a ruler. a. Find the length of the segment in centimeters. b. Find the length of the segment to the nearest millimeter. c. Determine the greatest possible error of the measurement in part b, expressing the answer as a fraction of a millimeter. d. Convert 75 centimeters to meters.

1. Problem Description

The problem asks to determine the length of a line segment using a ruler.

a. Find the length of the segment in centimeters.

b. Find the length of the segment to the nearest millimeter.

c. Determine the greatest possible error of the measurement in part b, expressing the answer as a fraction of a millimeter.

d. Convert 75 centimeters to meters.

2. Solution Steps

a. The length of the segment is approximately 0.7 cm.

b. Since 1 cm = 10 mm, the length of the segment is approximately 7 mm to the nearest millimeter.

c. When measuring to the nearest millimeter, the greatest possible error is half of the smallest unit, which is half of a millimeter. Thus, the greatest possible error is $\frac{1}{2}$ mm.

d. To convert centimeters to meters, divide by

1

0

0. $1 \, \text{m} = 100 \, \text{cm}$. Therefore, $1 \, \text{cm} = \frac{1}{100} \, \text{m}$.

$75 \, \text{cm} = 75 \times \frac{1}{100} \, \text{m} = \frac{75}{100} \, \text{m} = 0.75 \, \text{m}$.

3. Final Answer

a. 0.7 cm

b. 7 mm

c. 1/2 mm

d. 0.75 meters