College

Carry out the following conversions:

1) 546 mm to m
2) 65 ns to μs
3) 87.6 mg to kg
4) 46.3 dm\(^3\) to L
5) 181 pm to μm

Answer :

1) 546 mm is equal to 0.546 meters.

2) 65 ns is equal to 0.065 microseconds.

3) 87.6 mg is equal to 0.0000876 kilograms.

4) 46.3 dm³ is equal to 46.3 liters.

5) 181 pm is equal to 0.000181 micrometers.

1) Convert 546 mm to m:

To convert millimeters (mm) to meters (m), we know that:

1 m = 1000 mm

Therefore, we can set up the conversion as follows:

[tex]546 \text{ mm} \times \frac{1 \text{ m}}{1000 \text{ mm}} = 0.546 \text{ m}[/tex]

2) Convert 65 ns to μs:

To convert nanoseconds (ns) to microseconds (μs), we have:

1 μs = 1000 ns

Using this conversion:

[tex]65 \text{ ns} \times \frac{1 { \mu s}}{1000 \text{ ns}} = 0.065 \mu s[/tex]

3) Convert 87.6 mg to kg:

To convert milligrams (mg) to kilograms (kg), we know:

1 kg = 1,000,000 mg

Thus:

[tex]87.6 \text{ mg} \times \frac{1 \text{ kg}}{1,000,000 \text{ mg}} = 0.0000876 \text{ kg}[/tex]

4) Convert 46.3 dm³ to L:

Since 1 dm³ is equal to 1 L, the conversion is direct:

[tex]46.3 \text{ dm³} = 46.3 \text{ L}[/tex]

5) Convert 181 pm to μm:

To convert picometers (pm) to micrometers (μm), we know:

1 μm = 1,000,000 pm

Hence:

[tex]181 \text{ pm} \times \frac{1 \mu m}{1,000,000 \text{ pm}} = 0.000181 \mu m[/tex]