Problem Set 37 – Hundredths in Decimal FormClass 5 Maths · Chapter 9 Decimal Fractions · Problem Set 37 – Maharashtra Board

Summary: Problem Set 37 – Hundredths in Decimal Form

Divide one-tenth into 10 equal parts: each part is 1/100, called one hundredth.

The hundredths place is the second place after the decimal point, just right of the tenths place.

1 tenth = 10 hundredths, so 0.1 = 0.10 and 0.5 = 0.50.

45/100 = 40/100 + 5/100 = 4/10 + 5/100, so it is written 0.45: 4 tenths and 5 hundredths.

If there are no tenths, write a 0 in the tenths place: 7/100 = 0.07 and 2 and 6/100 = 2.06.

Key points to remember

• 1/100 = 0.01 (one hundredth)
• 1 tenth = 10 hundredths
• 0.1 = 0.10
• Hundredths = second place after the point
• 45/100 = 0.45 (4 tenths + 5 hundredths)
• 7/100 = 0.07 — keep the 0 in tenths
• 3 and 45/100 = 3.45
• Read 3.45 as 'three point four five'

Problem Set 37 – Hundredths in Decimal Form – Notes

1. Hundredths

• Take one tenth (1/10) and split it into 10 equal parts. Each part is 1/100.
• So 10 hundredths make 1 tenth, and 100 hundredths make 1 unit.
• We make a hundredths place to the right of the tenths place.

2. Two digits after the point

• 45/100 = 40/100 + 5/100 = 4/10 + 5/100.
• So 4 goes in the tenths place and 5 in the hundredths place: 0.45.
• Read it digit by digit after the point: 'zero point four five' (not 'zero point forty-five').

3. When the tenths place is empty

• 7/100 has no tenths, only 7 hundredths.
• Write 0 in the tenths place to hold it: 0.07.
• Without the 0, 0.7 would mean 7 tenths — 10 times bigger!

4. Place-value table

• Tens | Units | . | Tenths | Hundredths
• 3 and 45/100 → 0 | 3 | . | 4 | 5 → 3.45.
• 12 and 8/100 → 1 | 2 | . | 0 | 8 → 12.08.
• 64/100 → 0 | 0 | . | 6 | 4 → 0.64.

5. Tenths or hundredths? Check the denominator

• Denominator 10 → one digit after the point: 4/10 = 0.4.
• Denominator 100 → two digits after the point: 4/100 = 0.04.
• A fraction like 5/20 is not over 10 or 100 yet. Make an equal fraction first: 5/20 = 25/100 = 0.25.

Formulas at a glance

Key terms

Problem Set 37 – Hundredths in Decimal Form – Flashcards

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

Problem Set 37 – Hundredths in Decimal Form – MCQ Quiz

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

How to study Problem Set 37 – Hundredths in Decimal Form

⏱ About 20 minutes

1. Learn (5 min)
   Learn that 1 tenth = 10 hundredths and where the hundredths place is.
2. Write (10 min)
   Use a place-value table to write fractions over 100 as decimals.
3. Practise (5 min)
   Do the 4 'Try it yourself' sums, take the quiz and play 🎮 Play.