0.05 cm is the same as

0.05 cm is the same as

a. 0.00005 m.
b. 0.005 mm.
c. 0.05 m.
d. 0.5 mm.

The correct answer and explanation is :

Correct answer: d. 0.5 mm

To convert 0.05 centimeters (cm) to millimeters (mm), we need to understand the relationship between centimeters and millimeters:

• 1 centimeter (cm) = 10 millimeters (mm)

So, to convert from centimeters to millimeters, we multiply by 10.

$$
0.05\ \text{cm} \times 10 = 0.5\ \text{mm}
$$

Therefore, 0.05 cm equals 0.5 mm, making option d the correct answer.

Explanation:

In the metric system, units of measurement are based on powers of ten, which makes conversions between units straightforward. Here’s a quick summary of the most relevant metric conversions in this context:

• 1 meter (m) = 100 centimeters (cm)
• 1 meter (m) = 1,000 millimeters (mm)
• 1 centimeter (cm) = 10 millimeters (mm)

Let’s analyze the incorrect options:

• Option a: 0.00005 m
  To convert 0.05 cm to meters, divide by 100: $$
  0.05\ \text{cm} \div 100 = 0.0005\ \text{m}
  $$ So this option is incorrect because it is one decimal place too small.
• Option b: 0.005 mm $$
  0.05\ \text{cm} \times 10 = 0.5\ \text{mm}, \text{not } 0.005\ \text{mm}
  $$ This is incorrect by a factor of 100.
• Option c: 0.05 m $$
  0.05\ \text{cm} = 0.0005\ \text{m}, \text{so this is too large}
  $$ Therefore, incorrect.
• Option d: 0.5 mm
  As calculated earlier, this is the correct conversion from 0.05 cm to mm.

Final Answer: d. 0.5 mm