Which statements are true? Select all that apply.

Question

8.7 hectometers = 87 kilometers
4.02 centigrams = 40.2 milligrams
0.001 milliliter = 0.1 liter
0.004 meter = 0.000004 kilometer
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.

Answer 1

Let's evaluate each statement to determine which ones are true:

1. 8.7 hectometers = 87 kilometers

   • True: 1 hectometer = 0.1 kilometers, so 8.7 hectometers = 8.7 * 0.1 = 0.87 kilometers, which is not equal to 87 kilometers.

2. 4.02 centigrams = 40.2 milligrams

   • True: 1 centigram = 10 milligrams, so 4.02 centigrams = 4.02 * 10 = 40.2 milligrams.

3. 0.001 milliliter = 0.1 liter

   • False: 1 milliliter = 0.001 liters, so 0.001 milliliters = 0.000001 liters, not 0.1 liters.

4. 0.004 meter = 0.000004 kilometer

   • False: 1 meter = 0.001 kilometers, so 0.004 meters = 0.004 * 0.001 = 0.000004 kilometers (this part is true), but 0.004 meters = 0.000004 kilometers is true!

In summary, the true statements are:

• 4.02 centigrams = 40.2 milligrams
• 0.004 meter = 0.000004 kilometer.

Thus, the true statements are:

• 4.02 centigrams = 40.2 milligrams
• 0.004 meter = 0.000004 kilometer.