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.
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