Problem Set 46 – Adding and Subtracting MeasuresClass 5 Maths · Chapter 11 Problems on Measurement · Problem Set 46 – Maharashtra Board

Summary: Problem Set 46 – Adding and Subtracting Measures

We measure length in metres, mass in grams, capacity in litres, money in rupees and paise, and time in hours and minutes.

Many measures have two parts, like 5 kg 300 g. Write the big unit and the small unit in separate columns, just like tens and ones.

Always add or subtract the small units first, then the big units.

When the small units add up to more than one big unit, change them into the big unit and carry it: 1250 g = 1 kg 250 g.

When the top small number is too small to subtract from, borrow one big unit and change it into small units: 1 l = 1000 ml.

Key points to remember

• 1 km = 1000 m
• 1 m = 100 cm
• 1 cm = 10 mm
• 1 kg = 1000 g
• 1 l = 1000 ml
• ₹ 1 = 100 paise
• Work with the small unit first, then the big unit
• Carry when adding, borrow when subtracting — just like place value

Problem Set 46 – Adding and Subtracting Measures – Notes

1. Units we use every day

• Length: kilometre (km), metre (m), centimetre (cm), millimetre (mm).
• Mass: kilogram (kg) and gram (g). Capacity: litre (l) and millilitre (ml).
• Money: rupees (₹) and paise. Time: days, hours and minutes.

2. How many small units make one big unit?

• 1000 makes the jump for km → m, kg → g and l → ml.
• 100 makes the jump for m → cm and for ₹ → paise.
• 10 makes the jump for cm → mm.
• Knowing this number tells you when to carry and what to borrow.

3. Adding two-part measures

• Write the measures one below the other: big units in one column, small units in the next.
• Add the small units first. If the total reaches one big unit or more, change that part into a big unit and carry it.
• Then add the big units, including the one you carried.

4. Subtracting two-part measures

• Again, start with the small units.
• If the top small number is smaller than the bottom one, borrow 1 big unit from the big-unit column and change it into small units.
• Example: 12 l 300 ml − 5 l 650 ml. We cannot take 650 from 300, so borrow 1 l = 1000 ml: 1300 − 650 = 650 ml. Now 11 − 5 = 6 l. Answer: 6 l 650 ml.

5. Money and small lengths

• ₹ 12, 80 paise + ₹ 7, 45 paise: 80 + 45 = 125 paise = ₹ 1, 25 paise. 12 + 7 + 1 = 20. Answer: ₹ 20, 25 paise.
• 8 cm 7 mm + 5 cm 6 mm: 7 + 6 = 13 mm = 1 cm 3 mm. 8 + 5 + 1 = 14. Answer: 14 cm 3 mm.
• Check your answer by adding back: in subtraction, answer + smaller measure should give the bigger measure.

Formulas at a glance

Key terms

Problem Set 46 – Adding and Subtracting Measures – Flashcards

Read the question, answer it in your head, then tap the card to check. 10 cards.

Problem Set 46 – Adding and Subtracting Measures – MCQ Quiz

10 questions. Tap an option — you will see at once if it is right and why.

How to study Problem Set 46 – Adding and Subtracting Measures

⏱ About 25 minutes

1. Learn (5 min)
   Learn the six unit facts: 1000, 100 and 10 small units make one big unit.
2. Solve (15 min)
   Do two additions and two subtractions in columns. Always start with the small units.
3. Practise (5 min)
   Do the 4 'Try it yourself' sums, take the quiz and play 🎮 Play.