Problem Set 38 – Place Value in DecimalsClass 5 Maths · Chapter 9 Decimal Fractions · Problem Set 38 – Maharashtra Board

Summary: Problem Set 38 – Place Value in Decimals

Place value = digit × the value of its place. This works for decimals just like for whole numbers.

Places to the left of the point: units (1), tens (10), hundreds (100) …

Places to the right of the point: tenths (1/10 = 0.1), hundredths (1/100 = 0.01).

In 54.27: 5 → 5 × 10 = 50, 4 → 4 × 1 = 4, 2 → 2 × 1/10 = 0.2, 7 → 7 × 1/100 = 0.07.

A 0 digit has place value 0, but it still keeps the other digits in their places.

Key points to remember

• Place value = digit × place
• Hundreds 100, tens 10, units 1
• Tenths 1/10 = 0.1
• Hundredths 1/100 = 0.01
• 4 in the tenths place → 0.4
• 4 in the hundredths place → 0.04
• Place value of 0 is 0
• Adding the place values gives back the number

Problem Set 38 – Place Value in Decimals – Notes

1. The places around the decimal point

• Hundreds | Tens | Units | . | Tenths | Hundredths
• Each place is 10 times the one on its right and one-tenth of the one on its left.
• Tenths = 1/10 = 0.1; hundredths = 1/100 = 0.01.

2. Finding place value

• Find which place the digit is in.
• Multiply the digit by the value of that place.
• In 9.36: 9 × 1 = 9, 3 × 1/10 = 3/10 = 0.3, 6 × 1/100 = 6/100 = 0.06.

3. A full worked example

• Put the number in a place-value table first — then each digit's place is easy to see.
• Check your work: add all the place values. You should get the number back.

4. Zeros in a decimal

• In 130.5 the 0 is in the units place. Its place value is 0.
• In 25.08 the 0 is in the tenths place: there are no tenths. Place value of 0 is 0, and of 8 is 0.08.
• Never drop such a zero — 25.08 and 25.8 are different numbers.

5. Same digit, different values

• In 44.44 every digit is 4, but the values are 40, 4, 0.4 and 0.04.
• Moving one place to the right makes the value 10 times smaller.
• Moving one place to the left makes it 10 times bigger.

Formulas at a glance

Key terms

Problem Set 38 – Place Value in Decimals – Flashcards

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

Problem Set 38 – Place Value in Decimals – MCQ Quiz

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

How to study Problem Set 38 – Place Value in Decimals

⏱ About 20 minutes

1. Learn (5 min)
   Draw the place-value table from hundreds to hundredths.
2. Find (10 min)
   Write numbers in the table and find each digit's place value.
3. Practise (5 min)
   Do the 4 'Try it yourself' sums, take the quiz and play 🎮 Play.