Mathematics
Grade 5
15 min
Light and heavy
Light and heavy
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1
Introduction & Learning Objectives
Learning Objectives
Compare and order objects based on their mass.
Identify and select appropriate standard units (grams, kilograms, metric tons) for measuring the mass of various objects.
Convert between grams and kilograms, and kilograms and metric tons.
Estimate the mass of everyday objects using standard units.
Solve one-step and multi-step word problems involving the addition and subtraction of masses.
Explain the basic difference between mass and weight.
Perform calculations involving decimal and fractional mass measurements.
Have you ever wondered why some things are easy to lift, while others are super heavy? ⚖️📦 Let's explore what makes objects light or heavy!
In this lesson, you'll learn all about how we measure and compare how 'heavy' thing...
2
Key Concepts & Vocabulary
TermDefinitionExample
MassMass is a measure of how much 'stuff' or matter is in an object. It tells us how much an object resists changes in its motion.A bowling ball has more mass than a tennis ball, even if they are the same size, because it contains more material.
WeightWeight is the measure of the force of gravity pulling on an object. While related to mass, weight can change depending on gravity (e.g., on the Moon, you would weigh less but still have the same mass).An astronaut has the same mass on Earth and in space, but their weight is much less in space due to weaker gravity.
Kilogram (kg)The kilogram is a standard unit of mass in the metric system. It is used for measuring the mass of medium to large objects.A bag of sugar typically weighs 1 kilogram. A small dog might...
3
Core Formulas
Kilogram to Gram Conversion
$1 \text{ kg} = 1000 \text{ g}$
To convert kilograms to grams, multiply the number of kilograms by 1000. This is useful when you need to express a larger mass in smaller units.
Gram to Kilogram Conversion
$1 \text{ g} = \frac{1}{1000} \text{ kg} = 0.001 \text{ kg}$
To convert grams to kilograms, divide the number of grams by 1000. This is useful when you need to express a smaller mass in larger units, often for easier comparison or calculation.
Metric Ton to Kilogram Conversion
$1 \text{ t} = 1000 \text{ kg}$
To convert metric tons to kilograms, multiply the number of metric tons by 1000. This is used for very large masses.
Comparing and Calculating Masses
Before comparing, adding, or subtracting masses, ensure all measurements are i...
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Challenging
After a chef used 600 g of potatoes from a bag, 3/4 of the original amount was left. What was the original mass of the bag of potatoes in kilograms?
A.0.8 kg
B.1.8 kg
C.2.4 kg
D.3.0 kg
Challenging
A delivery truck starts with 1.5 metric tons of cargo. It unloads 450 kg at the first stop and 0.6 metric tons at the second stop. How much cargo, in kilograms, is left on the truck?
A.450 kg
B.1050 kg
C.850 kg
D.1.05 kg
Challenging
A factory has a container with 0.5 metric tons of sugar. The sugar is used to fill 1,500 small bags, each containing 250 g of sugar. How much sugar, in kilograms, is left in the container?
A.375 kg
B.500 kg
C.250 kg
D.125 kg
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