236.8 hm to dm Note: Provide numerical answer only! Selected Answer: 236800.0000 Question 18 Convert 30.96 dam to mm Note: Provide numerical answer only! Selected Answer: 309600.0000 Question 19 Change to centimeter (cm) and perform the indicated operations. Round final answer to 1 decimal place. 9379 mm – 873 mm + 25.7 cm = ? in cm Note: provide numerical answer only. Do not type \”cm\” beside your answer. Selected Answer: 8531.7
The Correct Answer and Explanation is:
Correct Answers:
Question 18:
236.8 hm to dm
To convert hectometers (hm) to decimeters (dm), multiply by 1,000.
236.8 hm × 1,000 = 236800 dm
Your selected answer is correct.
Question 19:
30.96 dam to mm
To convert decameters (dam) to millimeters (mm), multiply by 10,000.
30.96 dam × 10,000 = 309600 mm
Your selected answer is correct.
Question 20:
9379 mm – 873 mm + 25.7 cm = ? cm
Step 1: Convert all units to centimeters (cm).
- 9379 mm ÷ 10 = 937.9 cm
- 873 mm ÷ 10 = 87.3 cm
- 25.7 cm remains unchanged
Step 2: Perform the calculation
937.9 cm – 87.3 cm + 25.7 cm = 876.3 cm
Correct numerical answer: 876.3
Explanation:
Unit conversion is an essential skill for solving measurement problems, ensuring all quantities are expressed in the same unit before performing operations like addition or subtraction.
For Question 18, converting hectometers (hm) to decimeters (dm) requires understanding the metric system’s hierarchy. One hectometer equals 100 meters, and one meter equals 10 decimeters. Therefore, multiplying by 1,000 converts hectometers to decimeters. The correct answer is 236,800 dm.
In Question 19, converting decameters (dam) to millimeters (mm) involves multiplying by 10,000 because one dam equals 10 meters, one meter equals 100 centimeters, and one centimeter equals 10 millimeters. Combining these gives a conversion factor of 10,000. The correct answer is 309,600 mm.
For Question 20, the problem involves subtraction and addition of different units, specifically millimeters (mm) and centimeters (cm). To handle this, all units are converted to centimeters to maintain consistency. There are 10 millimeters in a centimeter, so dividing by 10 converts millimeters to centimeters. Once all values are in centimeters, basic arithmetic is applied: subtracting 87.3 cm from 937.9 cm and adding 25.7 cm results in 876.3 cm. The final answer is rounded to one decimal place as instructed.
Being careful with unit conversions avoids calculation errors, especially in real-world applications like engineering, construction, or science.
