To measure something we need a system of units. The decimal metric system is a system of units in which the multiples or submultiples of the unit of measurement are interrelated by multiples. The unit for measuring mass is the gram, kilogram, centigram, decigram, milligram, and so on.

To convert an amount into the decimal form, the amount will be divided 10 times as many times as the rows that have to be climbed. Show your excellence by solving the questions in 4th Grade Math and score better grades in the exams. All these are applicable in real life too. So, understand the concept and relate them to real-world problems.

**Also, Refer:**

- Use of Decimal in Measuring the Length
- Use of Decimal in Measuring the Distance
- Use of Decimal in Calculating Money

### Units of Mass Conversion Table | Mass Conversion Chart

The below table shows the conversion from whole to the decimal form from grams to kilograms, milligrams, hectograms, decigrams, decagrams, etc.

Name |
Symbol |
Equivalence or Decimal form |

Kilogram | Kg | 1000g |

Hectogram | Hg | 100g |

Decagram | Dag | 10g |

Gram | G | 1g |

Decigram | Dg | 0.1g |

Centigram | Cg | 0.01 |

milligram | mg | 0.001g |

### Measurement of Mass using Decimals Examples

Let us discuss the use of decimals in measuring the mass by solving the problems given below.

**Example 1.**

Convert 48 kg 100 g into kilograms in decimal form

**Solution:**

Convert from grams into kilograms in the decimal form.

As we know that

1000 grams = 1 kilogram or 1000g = 1kg

So, 1 gram is one thousandths of a kilogram

1g= 1/ 1000kg = 0.001 kg

100g = 100/1000 =0.100 kg

48 kg 100 g = 48. 100 kg

Thus 48 kg 100 g into kilograms in decimal form is 48.100 kg.

**Example 2.**

Convert 70kg 48g into kilograms in the decimal form

**Solution:**

Convert from grams into kilograms in the decimal form.

As we know that

1000 grams = 1 kilogram or 1000g = 1kg

So, 1 gram is one thousandths of a kilogram

1g= 1/ 1000kg = 0.001 kg

48g= 48/1000 = 0.048 kg

70kg 48g = 70.048 kilograms

Therefore, 70kg 48g into kilograms in the decimal form is 70.048 kilograms

**Example 3.**

Convert 2kg 200g into kilograms in decimal form

**Solution:**

Convert from grams into kilograms in the decimal form.

As we know that

1000 grams = 1 kilogram or 1000g = 1kg

So, 1 gram is one thousandths of a kilogram

1g= 1/ 1000kg = 0.001 kg

100g = 100/1000 =0.100 kg

200g = 200/1000 = 0.200 kg

2kg 200g = 2.200 kilograms

Hence, 2kg 200g into kilograms in decimal form is 2.200 kilograms

**Example 4.**

Convert 8kg 32g into kilograms in the decimal form

**Solution:**

Convert from grams into kilograms in the decimal form.

As we know that

1000 grams = 1 kilogram or 1000g = 1kg

So, 1 gram is one thousandths of a kilogram

1g= 1/ 1000kg = 0.001 kg

32g = 32/1000= 0.032kg

8kg 32g = 8.032kg

Thus 8kg 32g into kilograms in the decimal form is 8.032kg.

**Example 5.**

Convert 10000grams into kilograms in decimal form

**Solution:**

Convert from grams into kilograms in the decimal form.

1000 grams = 1 kilograms

1g = 1/1000 = 0.001 kilograms

10000grams = 10 kg

10 kg = 0.010 kg

Thus 10000grams into kilograms in decimal form is 0.010 kg.

### FAQs on Usage of Decimals in Measuring Mass

**1. Where are decimals used?**

Decimals are used every day while dealing with money, weight, length, and so on. Decimal numbers are used in situations where more precision is required than the whole numbers can provide.

**2. How do you write 1kg as a decimal?**

1 kilo = 10,000.00 deci

**3. How do you write half kg as a decimal?**

1 of a kilogram is 500 g or 0.5 kg.