Practice problems of the unit conversion - page 19 of 111
The International System of Units (SI) is the standard system of units used in most countries around the world. It is based on seven base units: the meter for length, the kilogram for mass, the second for time, the ampere for electric current, the kelvin for temperature, the mole for amount of substance, and the candela for luminous intensity. These units can be converted to other units using conversion factors, such as the relationship between meters and centimeters (1 meter = 100 centimeters). Other common SI unit conversions include:1 liter = 1000 milliliters
1 gram = 1000 milligrams
1 joule = 1 watt-second
1 newton = 1 kilogram-meter per second squared
In the SI system, units can be multiplied or divided by powers of ten to create larger or smaller units. These multiples are called prefixes. The most common prefixes and their meanings are:
mega- (M) = 1,000,000 (e.g. 1 megahertz = 1,000,000 hertz)
kilo- (k) = 1000 (e.g. 1 kilogram = 1000 grams)
centi- (c) = 0.01 (e.g. 1 centimeter = 0.01 meters)
milli- (m) = 0.001 (e.g. 1 milliliter = 0.001 liters)
micro- (µ) = 0.000001 (e.g. 1 microgram = 0.000001 grams)
nano- (n) = 0.000000001 (e.g. 1 nanosecond = 0.000000001 seconds)
It is important to note that, when using these prefixes, the prefix should be written before the unit symbol.
Number of problems found: 2215
- Distance 73124
The map shows the cities of Beijing and Tokyo at a distance of 5.1 cm. Their actual air distance is 2040 km. What is the scale of the map? - Bricklayer 65064
The bricklayer would be able to repair the wall himself in 30 minutes. It would take students an hour to learn. How long will it take for them to work together? - Covered 47573
The racer in the cycling time trial rode at a speed of 12 meters per second. How many km has he covered in 3/4 hours? - Approximately 39443
On the map of Bratislava, with a scale of 1: 200,000, the length of the river Danube is about 12.3 cm. Approximately how many km of Danube flows through this area? - Connecting 29841
There is a horizontal distance of 9 km between two cities on the Croatian coast. The road connecting these two cities has a climb of 13 permille. What is the height difference between Croatian cities? - Kilometers 27191
The plane dusted the field in 25 minutes at 252 km/h. How many kilometers has it flown? - Originally 22951
The tank originally had 7 m³ of gasoline. We gradually pumped out 3hl, 3000dm3, and 700 liters of gasoline. How many liters of petrol is left in the tank? - 21-kilometer 7555
A tourist moving at the same pace completes a 21-kilometer hike in 4 hours, taking a 30-minute break. Calculate the average speed of tourists. - Minutes 6093
The tower clock delays only 55 minutes in an hour. It's noon, and the clock shows the exact time. What time will they show up after four hours? - 14-carat 5956
14-carat gold. ... .585 per mille. In one kg. ... .585g gold. If the weight of pure gold in a ring is 7.2g, how much does the ring weigh? - Efficiency 4073
Determine the efficiency of a vacuum cleaner with a power input of 1.2 kW when the suction power is 360 W. - Percentage 3971
Students have classes from 8:00 to 12:30. One 15-minute break and three 10-minute breaks between lessons. What percentage of teaching is breaking? - Evaporating 3472
By evaporating 15 kg of seawater, we get 517.5 g of salt. How much seawater do we need to obtain 3.45 kg of salt? - Whipped 82128
700 ml of whipped cream costs €4.99. We bought 6 of them for €29.94. How much does 1 liter of whipped cream cost? - Distance 7692
On a map with a scale of 1:48 000, the distance between cities is 40mm. What is the actual length of cities in km? - Clock mathematics
If it is now 7:38 PM, what time will it be in 30,033,996,480 minutes from now? - Complete 16
Complete the conversions below, show calculations and answers 1) 3.5 kg to gram 2) 4567ml to litres 3) R45.78 to cent 4) 5.60m to centimeters - Electric charge
The electric current in a microprocessor circuit is 0.230 μA. How many coulombs pass a given point in the circuit in 1.50 ms? - Train
Find the average speed of a train (in km/h) that passes a telegraph pole in 7 seconds and passes a 378 m platform in 25 seconds. How long is the train? - Electric wire
William has a piece of wire that measures 1 yard long. He will use wire to fix several electrical outlets in his house. How many inches long is the wire? Solve this problem using bar diagrams.
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