Complete Each Row Of The Table Below By Filling In The Missing Prefix Or Missing Exponent.$\[ \begin{tabular}{|c|c|c|} \hline 1 Dg & $=10^{-1}$ & G \\ \hline 1 Mg & $=10^{-3}$ & G \\ \hline $1$ Kg & $=10^3$ & G \\ \hline $1$ Ng & $=10^{-9}$ & G

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**Understanding Prefixes and Exponents in the Metric System** ===========================================================

The metric system is a widely used system of measurement that is based on the International System of Units (SI). It is a decimal-based system that uses prefixes to denote different units of measurement. In this article, we will explore the prefixes and exponents used in the metric system, with a focus on the table provided.

What are Prefixes in the Metric System?

Prefixes are used in the metric system to denote different units of measurement. They are used to indicate the power of 10 that a unit is raised to. For example, the prefix "kilo-" means 1000, while the prefix "milli-" means 0.001.

Understanding Exponents in the Metric System

Exponents are used in the metric system to indicate the power of 10 that a unit is raised to. For example, the exponent 3 indicates that a unit is raised to the power of 10^3, or 1000.

Filling in the Missing Prefix or Exponent

The table provided shows several examples of units of measurement, along with their corresponding prefixes and exponents. However, some of the rows are incomplete, with missing prefixes or exponents. In this section, we will fill in the missing information.

Unit Prefix/Exponent Unit
1 dg =10−1=10^{-1} g
1 mg =10−3=10^{-3} g
1 kg =103=10^3 g
1 ng =10−9=10^{-9} g

Filling in the Missing Prefix or Exponent for 1 dg

The unit "1 dg" is equal to 10^-1 grams. To fill in the missing prefix, we can use the prefix "deci-", which means 0.1. Therefore, the completed row would be:

Unit Prefix/Exponent Unit
1 dg =10−1=10^{-1} g
1 dg =10−1=10^{-1} g

Filling in the Missing Prefix or Exponent for 1 mg

The unit "1 mg" is equal to 10^-3 grams. To fill in the missing prefix, we can use the prefix "milli-", which means 0.001. Therefore, the completed row would be:

Unit Prefix/Exponent Unit
1 mg =10−3=10^{-3} g
1 mg =10−3=10^{-3} g

Filling in the Missing Prefix or Exponent for 1 kg

The unit "1 kg" is equal to 10^3 grams. To fill in the missing prefix, we can use the prefix "kilo-", which means 1000. Therefore, the completed row would be:

Unit Prefix/Exponent Unit
1 kg =103=10^3 g
1 kg =103=10^3 g

Filling in the Missing Prefix or Exponent for 1 ng

The unit "1 ng" is equal to 10^-9 grams. To fill in the missing prefix, we can use the prefix "nano-", which means 0.000000001. Therefore, the completed row would be:

Unit Prefix/Exponent Unit
1 ng =10−9=10^{-9} g
1 ng =10−9=10^{-9} g

Conclusion

In this article, we have explored the prefixes and exponents used in the metric system. We have filled in the missing information in the table provided, using the prefixes and exponents to indicate the power of 10 that a unit is raised to. By understanding the prefixes and exponents used in the metric system, we can accurately convert between different units of measurement.

Frequently Asked Questions

Q: What is the prefix for 1000?

A: The prefix for 1000 is "kilo-".

Q: What is the prefix for 0.001?

A: The prefix for 0.001 is "milli-".

Q: What is the prefix for 0.000000001?

A: The prefix for 0.000000001 is "nano-".

Q: How do I convert between different units of measurement?

A: To convert between different units of measurement, you can use the prefixes and exponents to indicate the power of 10 that a unit is raised to.

Q: What is the International System of Units (SI)?

A: The International System of Units (SI) is a widely used system of measurement that is based on the metric system.

Q: What are exponents in the metric system?

A: Exponents are used in the metric system to indicate the power of 10 that a unit is raised to.

Q: What are prefixes in the metric system?

A: Prefixes are used in the metric system to denote different units of measurement.

Q: How do I fill in the missing prefix or exponent in a table?

A: To fill in the missing prefix or exponent in a table, you can use the prefixes and exponents to indicate the power of 10 that a unit is raised to.