Problem Set 39 – Decimals in Money and LengthClass 5 Maths · Chapter 9 Decimal Fractions · Problem Set 39 – Maharashtra Board

Summary: Problem Set 39 – Decimals in Money and Length

When a big unit is split into 100 or 10 small units, decimals are the easy way to write the small part.

100 paise = 1 rupee, so 1 paisa = ₹ 0.01 and 85 paise = ₹ 0.85. ₹ 36.85 means 36 rupees 85 paise.

100 cm = 1 m, so 1 cm = 0.01 m. 3.08 m = 3 m 8 cm and 2 m 35 cm = 2.35 m.

10 mm = 1 cm, so 1 mm = 0.1 cm. 5.3 cm = 5 cm 3 mm and 27 mm = 2.7 cm.

Watch the zeros: 9 rupees 6 paise is ₹ 9.06 (not 9.6), and ₹ 4.5 = ₹ 4.50 = 4 rupees 50 paise.

Key points to remember

• 1 rupee = 100 paise; 1 paisa = ₹ 0.01
• 1 m = 100 cm; 1 cm = 0.01 m
• 1 cm = 10 mm; 1 mm = 0.1 cm
• Two digits after the point for paise and cm in metres
• One digit after the point for mm in cm
• ₹ 4.5 = ₹ 4.50 = 4 rupees 50 paise
• 6 paise = ₹ 0.06 (keep the 0)
• 435 paise = ₹ 4.35

Problem Set 39 – Decimals in Money and Length – Notes

1. Rupees and paise

• 100 paise make 1 rupee, so each paisa is one hundredth of a rupee: ₹ 0.01.
• Digits before the point = rupees; the two digits after = paise.
• ₹ 36.85 → 36 rupees 85 paise. ₹ 4.5 = ₹ 4.50 → 4 rupees 50 paise.

2. Paise to rupees

• Rupees go before the point, paise (as two digits) after.
• 9 rupees 6 paise → ₹ 9.06. 12 rupees 40 paise → ₹ 12.40.
• Only paise? Split 100s off as rupees: 435 paise = 4 rupees 35 paise = ₹ 4.35.

3. Metres and centimetres

• 100 cm = 1 m, so 1 cm = 0.01 m.
• 3.08 m = 3 m 8 cm; 0.6 m = 0.60 m = 60 cm; 12.4 m = 12 m 40 cm.
• 2 m 35 cm = 2.35 m; 7 cm = 0.07 m; 526 cm = 5 m 26 cm = 5.26 m.

4. Centimetres and millimetres

• 10 mm = 1 cm, so 1 mm = 0.1 cm — only ONE digit after the point.
• 5.3 cm = 5 cm 3 mm; 0.9 cm = 9 mm.
• 4 cm 2 mm = 4.2 cm; 27 mm = 2 cm 7 mm = 2.7 cm.

5. Avoid the zero trap

• 0.5 rupee is 50 paise, but 0.05 rupee is only 5 paise.
• 0.3 m is 30 cm, not 3 cm. (3 cm = 0.03 m.)
• Always ask: how many small units make the big one — 100 or 10?

Formulas at a glance

Key terms

Problem Set 39 – Decimals in Money and Length – Flashcards

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

Problem Set 39 – Decimals in Money and Length – MCQ Quiz

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

How to study Problem Set 39 – Decimals in Money and Length

⏱ About 25 minutes

1. Learn (5 min)
   Learn 100 paise = ₹ 1, 100 cm = 1 m, 10 mm = 1 cm.
2. Convert (15 min)
   Change rupees to paise, metres to cm and cm to mm, and back.
3. Practise (5 min)
   Do the 4 'Try it yourself' sums, take the quiz and play 🎮 Play.