Question

1. label the following measurements (a–f) on the measuring tape with an arrow and the letter of the question. two examples have been done for you.

x. 37 1/2\ty. 1.01m
a. 39 1/8 in.\td. 93 cm
b. 3 ft. 4 3/4 in.\te. 0.992 m
c. 3.5 ft.\tf. 107.5 cm

Explanation:

1. Convert all units to match the tape scales:

• Top scale is inches:
• b. $3\text{ ft }4\frac{3}{4}\text{ in} = (3\times12) + 4.75 = 40.75\text{ in}$
• c. $3.5\text{ ft} = 3.5\times12 = 42\text{ in}$
• a. $39\frac{1}{8}\text{ in} = 39.125\text{ in}$
• Bottom scale is centimeters:
• e. $0.992\text{ m} = 0.992\times100 = 99.2\text{ cm}$
• f. $107.5\text{ cm}$ is already in cm

1. Match converted values to the measuring tape marks:

• Inches scale: Each inch is divided into 16 small marks, so each small mark = $\frac{1}{16}=0.0625$ inches.
• Centimeters scale: Each centimeter is divided into 10 small marks, so each small mark = 0.1 cm.

1. Align each value to its corresponding position on the correct scale and mark with an arrow and label.

Answer:

1. x. 37 ½" → Arrow pointing to 37.5 inches (marked as X on the tape)
2. y. 1.01m → Arrow pointing to 101 cm (marked as y on the tape)
3. a. 39⅛ in. → Arrow pointing to 39.125 inches (between 39 and 40 on the top scale, first small mark after 39)
4. b. 3 ft. 4¾ in. → Arrow pointing to 40.75 inches (between 40 and 41 on the top scale, third small mark after 40)
5. c. 3.5 ft. → Arrow pointing to 42 inches (marked as 42 on the top scale)
6. d. 93 cm → Arrow pointing to 93 cm (marked as 93 on the bottom scale)
7. e. 0.992 m → Arrow pointing to 99.2 cm (between 99 and 100 on the bottom scale, second small mark after 99)
8. f. 107.5 cm → Arrow pointing to 107.5 cm (between 107 and 108 on the bottom scale, fifth small mark after 107)