Math Problem Statement

Convert the following, show steps including the ratios or factors used: 1. 72 kg = ___ grams 2. 384 g = ___ milligrams 3. 9 grams = ___ hectograms 4. 2 dag = ___ centigrams 5. 4 kg = ___ centigrams 6. 55 grams = ___ mg

Solution

Let’s go through each of these conversions, showing the steps and the factors used.

Problem Solutions

  1. Convert 72 kg to grams

    • Conversion factor: 1 kg=1000 g1 \text{ kg} = 1000 \text{ g}
    • Calculation: 72 kg×1000=72000 g72 \text{ kg} \times 1000 = 72000 \text{ g}
    • Answer: 72 kg=72000 grams72 \text{ kg} = 72000 \text{ grams}
  2. Convert 384 g to milligrams

    • Conversion factor: 1 g=1000 mg1 \text{ g} = 1000 \text{ mg}
    • Calculation: 384 g×1000=384000 mg384 \text{ g} \times 1000 = 384000 \text{ mg}
    • Answer: 384 g=384000 milligrams384 \text{ g} = 384000 \text{ milligrams}
  3. Convert 9 grams to hectograms

    • Conversion factor: 1 hg=100 g1 \text{ hg} = 100 \text{ g}, or equivalently 1 g=0.01 hg1 \text{ g} = 0.01 \text{ hg}
    • Calculation: 9 g×0.01=0.09 hg9 \text{ g} \times 0.01 = 0.09 \text{ hg}
    • Answer: 9 grams=0.09 hectograms9 \text{ grams} = 0.09 \text{ hectograms}
  4. Convert 2 dag to centigrams

    • Conversion factor: 1 dag=100 cg1 \text{ dag} = 100 \text{ cg}
    • Calculation: 2 dag×100=200 cg2 \text{ dag} \times 100 = 200 \text{ cg}
    • Answer: 2 dag=200 centigrams2 \text{ dag} = 200 \text{ centigrams}
  5. Convert 4 kg to centigrams

    • Conversion factor: 1 kg=100000 cg1 \text{ kg} = 100000 \text{ cg}
    • Calculation: 4 kg×100000=400000 cg4 \text{ kg} \times 100000 = 400000 \text{ cg}
    • Answer: 4 kg=400000 centigrams4 \text{ kg} = 400000 \text{ centigrams}
  6. Convert 55 grams to milligrams

    • Conversion factor: 1 g=1000 mg1 \text{ g} = 1000 \text{ mg}
    • Calculation: 55 g×1000=55000 mg55 \text{ g} \times 1000 = 55000 \text{ mg}
    • Answer: 55 grams=55000 mg55 \text{ grams} = 55000 \text{ mg}

Would you like further explanations or details on any specific part of these conversions?


Related Questions

  1. How do you convert kilograms to milligrams directly?
  2. What would be the conversion factor to go from hectograms to grams?
  3. How do you convert centigrams to kilograms?
  4. What is the relationship between decagrams and grams?
  5. Can you convert 150 grams to centigrams?

Tip

When converting units, always double-check the conversion factor, especially when dealing with metric prefixes like kilo, centi, milli, etc., to avoid errors.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Unit Conversion
Metric System

Formulas

1 kg = 1000 g
1 g = 1000 mg
1 hg = 100 g
1 dag = 10 g
1 kg = 100000 cg
1 g = 1000 mg

Theorems

-

Suitable Grade Level

Grades 5-7