A) Pencil (5g)
B) Apple (150g)
C) Paperclip (1g)
D) Book (400g)
Circle the correct answer and explain why.
Mass: The amount of matter in an object. Measured in grams (g) or kilograms (kg). Greater mass means more matter.
Comparison: Determining which object has more mass by comparing numerical values.
- List all masses in the same unit (grams)
- Compare the numerical values
- Identify the largest number
- Explain the reasoning
Pencil = 5g, Apple = 150g, Paperclip = 1g, Book = 400g
1 < 5 < 150 < 400
400g is the largest value
The book has 400g, which is the greatest mass
The book has the greatest mass at 400 grams. It has more matter than the pencil (5g), apple (150g), or paperclip (1g).
• Unit Consistency: All masses in same unit (grams)
• Numerical Comparison: Compare the numbers directly
• Greatest Value: Highest number means greatest mass
Orange (130g), Ruler (25g), Backpack (2000g), Eraser (5g), Water bottle (500g)
Write the order below and explain your method.
Mass Ordering: Arranging objects by their mass measurements from smallest to largest (ascending) or largest to smallest (descending).
Orange = 130g, Ruler = 25g, Backpack = 2000g, Eraser = 5g, Water bottle = 500g
5 < 25 < 130 < 500 < 2000
Eraser (5g) → Ruler (25g) → Orange (130g) → Water bottle (500g) → Backpack (2000g)
Check: Each item is lighter than the next one ✓
From lightest to heaviest: Eraser (5g), Ruler (25g), Orange (130g), Water bottle (500g), Backpack (2000g).
• Unit Consistency: All measurements in grams
• Ascending Order: Smallest to largest values
• Numerical Comparison: Compare numbers directly
Total Mass: The sum of individual masses when combining multiple objects of the same type.
Number of books = 3, Mass of each book = 250g
Total mass = 3 × 250g = 750g
Books given away = 1
Remaining books = 3 - 1 = 2 books
Mass of remaining books = 2 × 250g = 500g
Original total (750g) - Given away (250g) = Remaining (500g) ✓
The total mass of all 3 books is 750 grams. After giving away 1 book, the remaining 2 books have a mass of 500 grams.
• Multiplication Rule: Total = count × individual mass
• Subtraction Rule: Remaining = original - removed
• Unit Preservation: Answer in same unit (grams)
Mass: Amount of matter in an object (measured in g/kg)
Gram (g): Small unit of mass measurement
Kilogram (kg): Larger unit = 1000 grams
- Using Scales: Digital or balance scales for accurate measurement
- Estimation: Compare to known objects (e.g., apple ≈ 150g)
- Addition: Combine masses by adding measurements
- Comparison: Use greater than/less than symbols
• Mass is always constant regardless of location
• 1 kilogram equals 1000 grams
• Balance scales compare masses directly
• Always include units in your final answer
a) 3 kilograms to grams
b) 2500 grams to kilograms
c) 0.5 kilograms to grams
d) 750 grams to kilograms
Show your work for each conversion.
Unit Conversion: Changing from one unit of measurement to another while maintaining the same quantity. 1 kg = 1000 g.
1 kilogram = 1000 grams
a) 3 kg = 3 × 1000 g = 3000 g
c) 0.5 kg = 0.5 × 1000 g = 500 g
b) 2500 g = 2500 ÷ 1000 kg = 2.5 kg
d) 750 g = 750 ÷ 1000 kg = 0.75 kg
Check: 2.5 kg = 2500 g (reverse calculation) ✓
a) 3 kg = 3000 g, b) 2500 g = 2.5 kg, c) 0.5 kg = 500 g, d) 750 g = 0.75 kg
• Conversion Factor: 1 kg = 1000 g
• From kg to g: Multiply by 1000
• From g to kg: Divide by 1000
Balance Scale Principle: Both sides have equal mass when balanced. If one side goes down, it has more mass.
2 apples × 125g = 250g total
4 oranges = 250g (same as apples)
Mass per orange = Total mass ÷ Number of oranges
Mass per orange = 250g ÷ 4 = 62.5g
After removing 2 oranges: 2 oranges remain
Mass of 2 oranges = 2 × 62.5g = 125g
Number of apples needed = 125g ÷ 125g = 1 apple
4 oranges × 62.5g = 250g, 2 apples × 125g = 250g ✓
2 oranges = 125g, 1 apple = 125g ✓
Each orange weighs 62.5 grams. After removing 2 oranges, the remaining 2 oranges would balance with 1 apple.
• Balance Principle: Both sides equal when balanced
• Division Rule: Total mass ÷ number of items = mass per item
• Proportional Reasoning: Maintains balance ratios
Mass: Amount of matter in an object (constant, measured in g/kg)
Gram (g): Standard unit for small mass measurements
Kilogram (kg): Larger unit equal to 1000 grams
- Identify the unit: Ensure all measurements use the same unit
- Compare values: Look at numerical values when units match
- Apply operations: Addition, subtraction, multiplication, or division
- Verify results: Check if answer makes logical sense
• Mass remains constant everywhere in the universe
• 1 kilogram equals 1000 grams
• Balance scales work on the principle of equal masses
• Always include units in your final answer
• Convert units before comparing or calculating