Question

Complete each of the following metric relationships: a. \(1 \mathrm{Mg}=\mathrm{g}\) b. \(1 \mathrm{~mL}=\mu \mathrm{L}\) c. \(1 \mathrm{~g}=\) \(\mathrm{kg}\) d. \(1 \mathrm{~g}=\mathrm{mg}\)

Short answer

1 Mg = 1,000,000 g, 1 mL = 1,000 µL, 1 g = 0.001 kg, 1 g = 1,000 mg

Step-by-step solution

Mega to Grams Conversion

To convert megagrams (Mg) to grams (g), note that 'Mega' means one million. Therefore, 1 Mg is equal to 1,000,000 grams.

Milliliters to Microliters Conversion

1 milliliter (mL) is equal to 1,000 microliters (µL), since 'milli' denotes a thousandth and 'micro' denotes a millionth.

Grams to Kilograms Conversion

To convert grams (g) to kilograms (kg), remember that 1 kilogram is 1,000 grams. Therefore, to find the equivalent in kilograms, divide the number of grams by 1,000.

Grams to Milligrams Conversion

To convert grams (g) to milligrams (mg), remember that 1 gram is equal to 1,000 milligrams, since a milligram is a thousandth of a gram.

Key concepts

megagrams to grams

Understanding conversions between megagrams (Mg) and grams (g) is simple once you know that 'Mega' means one million. So, 1 megagram equals 1,000,000 grams. This means if you need to convert for example 3 Mg to grams, you multiply 3 by 1,000,000, giving you 3,000,000 grams.

• 1 Mg = 1,000,000 g
• Conversion: Multiply the number of Mg by 1,000,000

Always remember, with the metric system, knowing the prefixes can make conversions straightforward, as they are based on powers of 10.

milliliters to microliters

When you are converting milliliters (mL) to microliters (µL), it's important to remember metric prefixes. 'Milli' means one thousandth and 'micro' means one millionth. For these conversions, knowing that 1 mL is equal to 1,000 µL is crucial. For instance, to convert 5 mL to µL, multiply 5 by 1,000 to get 5,000 µL.

• 1 mL = 1,000 µL
• Conversion: Multiply the number of mL by 1,000

This consistency of the metric system’s base 10 makes it easy to switch between units.

grams to kilograms

Converting grams (g) to kilograms (kg) is a common metric conversion. Remember that 1 kilogram equals 1,000 grams. To find the kilogram equivalent of a certain number of grams, you divide by 1,000. For example, for 2,500 grams, divide by 1,000 to get 2.5 kilograms.

• 1 kg = 1,000 g
• Conversion: Divide the number of grams by 1,000

This simple division ensures you can convert grams to kilograms with ease by shifting the decimal point three places to the left.

grams to milligrams

Grams (g) and milligrams (mg) are both units of mass in the metric system, with milligrams being much smaller. To convert grams to milligrams, remember that 1 gram is equivalent to 1,000 milligrams. This means you'll multiply the number of grams by 1,000. For example, 4 grams is equal to 4,000 milligrams.

• 1 g = 1,000 mg
• Conversion: Multiply the number of grams by 1,000

This conversion is straightforward, and understanding it helps in many practical and scientific applications.