Question
upstudy study bank question image url

c. \( 0,125 \mathrm{~km} \) na sentimeter en voet d. \( 304,5 \mathrm{~mm} \) na meter en duim e. \( 79,4 \mathrm{~km} \) na meter en jaart f. 3 myl na kilometer en meter g. 105 g na kilogram en milligram h. \( 100,125 \mathrm{~kg} \) na gram en ton i. \( 12,1 \mathrm{~g} \) na milligram en kilogram j. 197520 mg na gram en kilogram k. 0,09 ton na kilogram en gram l. \( 352,076 \mathrm{~kg} \) na milligram en gram

Ask by Lee Owen. in South Africa
Feb 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Here are the conversions for each measurement: - **c. 0.125 km**: 12,500 cm and approximately 410.105 ft - **d. 304.5 mm**: 0.3045 m and approximately 11.97 in - **e. 79.4 km**: 79,400 m and approximately 217.26 yr - **f. 3 miles**: 4.828 km and 4,828 m - **g. 105 g**: 0.105 kg and 105,000 mg - **h. 100.125 kg**: 100,125 g and 0.100125 t - **i. 12.1 g**: 12,100 mg and 0.0121 kg - **j. 197,520 mg**: 197.52 g and 0.19752 kg - **k. 0.09 ton**: 90 kg and 9,000 g - **l. 352.076 kg**: 352,076 mg and 352,076 g

Solution

Calculate the value by following steps: - step0: Calculate: \(105\times 1000\) - step1: Multiply the numbers: \(105000\) Calculate or simplify the expression \( 197520 / 1000 \). Calculate the value by following steps: - step0: Calculate: \(\frac{197520}{1000}\) - step1: Reduce the fraction: \(\frac{4938}{25}\) Calculate or simplify the expression \( 352.076 * 1000 \). Calculate the value by following steps: - step0: Calculate: \(352.076\times 1000\) - step1: Multiply the numbers: \(352076\) Calculate or simplify the expression \( 0.125 * 100000 \). Calculate the value by following steps: - step0: Calculate: \(0.125\times 100000\) - step1: Multiply the numbers: \(12500\) Calculate or simplify the expression \( 79.4 * 1000 \). Calculate the value by following steps: - step0: Calculate: \(79.4\times 1000\) - step1: Multiply the numbers: \(79400\) Calculate or simplify the expression \( 0.125 * 3280.84 \). Calculate the value by following steps: - step0: Calculate: \(0.125\times 3280.84\) - step1: Multiply the numbers: \(410.105\) Calculate or simplify the expression \( 304.5 / 1000 \). Calculate the value by following steps: - step0: Calculate: \(\frac{304.5}{1000}\) - step1: Convert the expressions: \(\frac{\frac{609}{2}}{1000}\) - step2: Multiply by the reciprocal: \(\frac{609}{2}\times \frac{1}{1000}\) - step3: Multiply the fractions: \(\frac{609}{2\times 1000}\) - step4: Multiply: \(\frac{609}{2000}\) Calculate or simplify the expression \( 304.5 / 25.4 \). Calculate the value by following steps: - step0: Calculate: \(\frac{304.5}{25.4}\) - step1: Convert the expressions: \(\frac{\frac{609}{2}}{\frac{127}{5}}\) - step2: Multiply by the reciprocal: \(\frac{609}{2}\times \frac{5}{127}\) - step3: Multiply the fractions: \(\frac{609\times 5}{2\times 127}\) - step4: Multiply: \(\frac{3045}{254}\) Calculate or simplify the expression \( 0.09 * 1000 \). Calculate the value by following steps: - step0: Calculate: \(0.09\times 1000\) - step1: Multiply the numbers: \(90\) Calculate or simplify the expression \( 197520 / 1000000 \). Calculate the value by following steps: - step0: Calculate: \(\frac{197520}{1000000}\) - step1: Reduce the fraction: \(\frac{2469}{12500}\) Calculate or simplify the expression \( 79.4 * 1000 / 365 \). Calculate the value by following steps: - step0: Calculate: \(\frac{79.4\times 1000}{365}\) - step1: Multiply the numbers: \(\frac{79400}{365}\) - step2: Reduce the fraction: \(\frac{15880}{73}\) Calculate or simplify the expression \( 3 * 1.60934 \). Calculate the value by following steps: - step0: Calculate: \(3\times 1.60934\) - step1: Multiply the numbers: \(4.82802\) Calculate or simplify the expression \( 3 * 1609.34 \). Calculate the value by following steps: - step0: Calculate: \(3\times 1609.34\) - step1: Multiply the numbers: \(4828.02\) Calculate or simplify the expression \( 0.09 * 100000 \). Calculate the value by following steps: - step0: Calculate: \(0.09\times 100000\) - step1: Multiply the numbers: \(9000\) Calculate or simplify the expression \( 105 / 1000 \). Calculate the value by following steps: - step0: Calculate: \(\frac{105}{1000}\) - step1: Reduce the fraction: \(\frac{21}{200}\) Calculate or simplify the expression \( 352.076 * 1000 \). Calculate the value by following steps: - step0: Calculate: \(352.076\times 1000\) - step1: Multiply the numbers: \(352076\) Calculate or simplify the expression \( 100.125 * 1000 \). Calculate the value by following steps: - step0: Calculate: \(100.125\times 1000\) - step1: Multiply the numbers: \(100125\) Calculate or simplify the expression \( 12.1 * 1000 \). Calculate the value by following steps: - step0: Calculate: \(12.1\times 1000\) - step1: Multiply the numbers: \(12100\) Calculate or simplify the expression \( 100.125 / 1000 \). Calculate the value by following steps: - step0: Calculate: \(\frac{100.125}{1000}\) - step1: Convert the expressions: \(\frac{\frac{801}{8}}{1000}\) - step2: Multiply by the reciprocal: \(\frac{801}{8}\times \frac{1}{1000}\) - step3: Multiply the fractions: \(\frac{801}{8\times 1000}\) - step4: Multiply: \(\frac{801}{8000}\) Calculate or simplify the expression \( 12.1 / 1000 \). Calculate the value by following steps: - step0: Calculate: \(\frac{12.1}{1000}\) - step1: Convert the expressions: \(\frac{\frac{121}{10}}{1000}\) - step2: Multiply by the reciprocal: \(\frac{121}{10}\times \frac{1}{1000}\) - step3: Multiply the fractions: \(\frac{121}{10\times 1000}\) - step4: Multiply: \(\frac{121}{10000}\) Here are the conversions for each of the given measurements: ### c. \( 0,125 \mathrm{~km} \) to centimeters and feet - **Centimeters**: \[ 0.125 \, \text{km} = 0.125 \times 100000 = 12500 \, \text{cm} \] - **Feet**: \[ 0.125 \, \text{km} = 0.125 \times 3280.84 \approx 410.105 \, \text{ft} \] ### d. \( 304,5 \mathrm{~mm} \) to meters and inches - **Meters**: \[ 304.5 \, \text{mm} = \frac{304.5}{1000} = 0.3045 \, \text{m} \] - **Inches**: \[ 304.5 \, \text{mm} = \frac{3045}{25.4} \approx 11.97 \, \text{in} \quad (\text{approximately } 12 \, \text{in}) \] ### e. \( 79,4 \mathrm{~km} \) to meters and years - **Meters**: \[ 79.4 \, \text{km} = 79.4 \times 1000 = 79400 \, \text{m} \] - **Years**: \[ 79.4 \, \text{km} = \frac{79400}{365} \approx 217.26 \, \text{yr} \] ### f. \( 3 \mathrm{~myl} \) to kilometers and meters - **Kilometers**: \[ 3 \, \text{miles} = 3 \times 1.60934 \approx 4.82802 \, \text{km} \] - **Meters**: \[ 3 \, \text{miles} = 3 \times 1609.34 \approx 4828.02 \, \text{m} \] ### g. \( 105 \mathrm{~g} \) to kilograms and milligrams - **Kilograms**: \[ 105 \, \text{g} = \frac{105}{1000} = 0.105 \, \text{kg} \] - **Milligrams**: \[ 105 \, \text{g} = 105 \times 1000 = 105000 \, \text{mg} \] ### h. \( 100,125 \mathrm{~kg} \) to grams and tons - **Grams**: \[ 100.125 \, \text{kg} = 100.125 \times 1000 = 100125 \, \text{g} \] - **Tons**: \[ 100.125 \, \text{kg} = \frac{100.125}{1000} = 0.100125 \, \text{t} \] ### i. \( 12,1 \mathrm{~g} \) to milligrams and kilograms - **Milligrams**: \[ 12.1 \, \text{g} = 12.1 \times 1000 = 12100 \, \text{mg} \] - **Kilograms**: \[ 12.1 \, \text{g} = \frac{12.1}{1000} = 0.0121 \, \text{kg} \] ### j. \( 197520 \mathrm{~mg} \) to grams and kilograms - **Grams**: \[ 197520 \, \text{mg} = \frac{197520}{1000} = 197.52 \, \text{g} \] - **Kilograms**: \[ 197520 \, \text{mg} = \frac{197520}{1000000} = 0.19752 \, \text{kg} \] ### k. \( 0,09 \mathrm{~ton} \) to kilograms and grams - **Kilograms**: \[ 0.09 \, \text{t} = 0.09 \times 1000 = 90 \, \text{kg} \] - **Grams**: \[ 0.09 \, \text{t} = 0.09 \times 100000 = 9000 \, \text{g} \] ### l. \( 352,076 \mathrm{~kg} \) to milligrams and grams - **Milligrams**: \[ 352.076 \, \text{kg} = 352.076 \times 1000 = 352076 \, \text{mg} \] - **Grams**: \[ 352.076 \, \text{kg} = 352.076 \times 1000 = 352076 \, \text{g} \] These conversions provide the required values in the specified units.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

The Deep Dive

Bij het omrekenen van eenheid naar een andere is het belangrijk om de juiste conversiefactoren te gebruiken. Bijvoorbeeld, 1 kilometer is gelijk aan 100.000 centimeter en 1 voet is ongeveer 30,48 centimeter. Dit helpt je enorm bij het nauwkeurig omzetten van afstanden. Een veelvoorkomende fout die mensen maken bij het omrekenen van eenheden is het vergeten van de juiste volgorde bij de conversies. Zorg ervoor dat je elke stap zorgvuldig uitvoert, en controleer altijd je uitkomsten. Dit voorkomt kleine fouten die grote gevolgen kunnen hebben, vooral in bijvoorbeeld wetenschappelijke of technische contexten.

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy