Vaša košarica je prazna
Mass
In the metric system developed during the French Revolution, the basic unit of mass was defined as the mass of \latex{ 1 } \latex{ dm^{3} } of pure water at \latex{ 4 } \latex{ °C }. A metal cylinder of the same mass was made (\latex{ Kilogramme } \latex{ des } \latex{ Archives }), which, together with the prototype \latex{ metre } bar, is found in Sèvres, near Paris.
The basic unit of mass is \latex{ 1 } \latex{kilogram} (\latex{ kg }). Units that are often used are the \latex{ milligram }, \latex{ gram }, \latex{ tonne }.
\latex{ 1 } \latex{ milligram }
\latex{ 1 } \latex{ gram }
\latex{ 1 } \latex{ kilogram }
\latex{ 1 } \latex{ tonne }
The units of mass:
mass
\latex{ 1 }
\latex{ kg }
value
unit
In England, the pound is a common unit of mass
\latex{ 1 } \latex{ lb } ≈ \latex{ 450 } \latex{ g }.
\latex{ 1 } \latex{ lb } ≈ \latex{ 450 } \latex{ g }.
\latex{1\;\textcolor{#ff0000}{ mg }}
\latex{1 \;\textcolor{#ff0000}{g}}
\latex{1 \;\textcolor{#ff0000}{dkg}}
\latex{1 \;\textcolor{#ff0000}{kg}}
\latex{1 \;\textcolor{#ff0000}{t}}
<
<
<
<
\latex{\times\;1,000}
\latex{\times\;10}
\latex{\times\;100}
\latex{\times\;1,000}
\latex{1,000\;{ mg } = 1\;{ g}}
\latex{10\;{ g} = 1\; dkg}
\latex{100\;{ dkg} = 1\;{ kg}}
\latex{1,000\;{ kg} = 1\;{ t}}
\latex{1\; t} = \latex{1,000} \latex{ kg} = \latex{100,000} \latex{ dkg} = \latex{ 1,000,000} \latex{ g} = \latex{ 1,000,000,000} \latex{ mg}
Exercises
{{exercise_number}}. The ant can measure in \latex{ grams }, the mouse in \latex{ dekagrams }, the rabbit in \latex{ kilograms } and the elephant in \latex{ tonnes }. Convert the following masses into their units.
a) \latex{ 2 } \latex{ kg }
b) \latex{ 15 } \latex{ kg }
c) half a \latex{ kg }
d) \latex{ 3 } \latex{ kg } \latex{ 67 } \latex{ g }
b) \latex{ 15 } \latex{ kg }
c) half a \latex{ kg }
d) \latex{ 3 } \latex{ kg } \latex{ 67 } \latex{ g }
a) \latex{ 2,300 } \latex{ g }
b) \latex{ 56 } \latex{ kg }
c) half a \latex{ kg }
d) \latex{ 6 } \latex{ kg } \latex{ 34 } \latex{ dkg }
b) \latex{ 56 } \latex{ kg }
c) half a \latex{ kg }
d) \latex{ 6 } \latex{ kg } \latex{ 34 } \latex{ dkg }
a) \latex{ 78 } \latex{ t }
b) \latex{ 500 } \latex{ g }
c) \latex{ 3,000 } \latex{ g }
d) \latex{ 6 } \latex{ t } \latex{ 76 } \latex{ kg }
b) \latex{ 500 } \latex{ g }
c) \latex{ 3,000 } \latex{ g }
d) \latex{ 6 } \latex{ t } \latex{ 76 } \latex{ kg }
a) \latex{ 7,000 } \latex{ kg }
b) \latex{ 35,000 } \latex{ kg }
c) \latex{ 5 } \latex{ t } \latex{ 500 } \latex{ kg }
d) \latex{ 3 } \latex{ t } \latex{ 72,000 } \latex{ kg }
b) \latex{ 35,000 } \latex{ kg }
c) \latex{ 5 } \latex{ t } \latex{ 500 } \latex{ kg }
d) \latex{ 3 } \latex{ t } \latex{ 72,000 } \latex{ kg }
{{exercise_number}}. Which one is greater? Use the correct relation symbol.
a) \latex{ 867 } \latex{ g } ⬜ \latex{ 2 } and a half \latex{ kg }
b) \latex{ 5 } \latex{ kg } ⬜ \latex{ 5,600 } \latex{ g }
c) \latex{ 250 } \latex{ g } ⬜ quarter \latex{ kg }
d) \latex{ 6,720 } \latex{ g } ⬜ \latex{ 6 } and a half \latex{ kg }
e) \latex{ 7 } \latex{ t } ⬜ \latex{ 895 } \latex{ kg }
f) \latex{ 814 } \latex{ g } ⬜ \latex{ 1 } \latex{ kg }
{{exercise_number}}. Which is the most probable answer?
a) The mass of \latex{ 1 } \latex{ litre } of milk: \latex{ 12 } \latex{ g }; \latex{ 120 } \latex{ g }; \latex{ 1,200 } \latex{ g }.
b) The mass of a newborn baby: \latex{ 300 } \latex{ g }; \latex{ 30 } \latex{ kg }; \latex{ 3,000 } \latex{ g }.
c) The mass of an adult: \latex{ 7,500 } \latex{ g }; \latex{ 75 } \latex{ kg }; \latex{ 750 } \latex{ kg }.
d) The mass of a €\latex{ 1 } coin: \latex{ 7 } \latex{ g }; \latex{ 7 } \latex{ mg }; \latex{ 70 } \latex{ g }.
e) The mass of a paper clip: \latex{ 1 } \latex{ mg }; \latex{ 1 } \latex{ g }; \latex{ 10 } \latex{ g }.
b) The mass of a newborn baby: \latex{ 300 } \latex{ g }; \latex{ 30 } \latex{ kg }; \latex{ 3,000 } \latex{ g }.
c) The mass of an adult: \latex{ 7,500 } \latex{ g }; \latex{ 75 } \latex{ kg }; \latex{ 750 } \latex{ kg }.
d) The mass of a €\latex{ 1 } coin: \latex{ 7 } \latex{ g }; \latex{ 7 } \latex{ mg }; \latex{ 70 } \latex{ g }.
e) The mass of a paper clip: \latex{ 1 } \latex{ mg }; \latex{ 1 } \latex{ g }; \latex{ 10 } \latex{ g }.
{{exercise_number}}. The mass of a vitamin pill is \latex{ 3 } \latex{ g }. The pill contains \latex{ 40 } \latex{ mg } of vitamin C, \latex{ 1 } \latex{ mg } of vitamin E, \latex{ 150 } \latex{ mg } of calcium and \latex{ 221 } \latex{ mg} of sodium. What is the combined mass of all the other components of the pill?
{{exercise_number}}. The mass of a €\latex{ 1 } coin is between \latex{ 7 } and \latex{ 8 } \latex{ g }. At least and at most, how much money do you have if you have \latex{ 6 } \latex{ kg } of \latex{ 1 }-\latex{ euro } coins? What is the largest possible difference between the two values?
{{exercise_number}}. The following warning sign is in front of a bridge.
Can a lorry weighing \latex{ 10 } \latex{ t } and carrying \latex{ 8 } cars that weigh \latex{ 1,600 } \latex{ kg } each cross the bridge? (→)
{{exercise_number}}. According to the sign in a lift, it cannot carry more than \latex{ 500 } \latex{ kg } or \latex{ 6 } persons. Is it possible that \latex{ 6 } people get in the lift, but it does not start to move?
{{exercise_number}}. A bear weighs the same as a deer and three foxes. Two deer weigh the same as a bear and two foxes.
The mass of a deer is equal to that of how many foxes? The mass of a bear is equal to that of how many foxes?
Quiz
The mass of a brick is \latex{ 2 }\latex{ kg } and half a brick. What is the mass of two bricks?
