📚 Learn 🎮 Games 📊 Place Value Chart 🔢 Number Expander 🧱 Base-10 Blocks 📝 Blog
📚 Learn 🎮 Games ✏️ Blog 📊 Place Value Chart 🔀 Number Expander 🧱 Base-10 Blocks
📚 Grade 5 · Ages 10–11

Decimal Place Value

Discover what happens to the right of the decimal point — tenths, hundredths and thousandths!

Introduction

You've worked your way from ones all the way to billions. But numbers don't stop at the decimal point — they keep going! In this lesson you will learn about tenths, hundredths and thousandths: the places that live to the right of the decimal point. These show up in money, measurements and science every single day.

What You Will Learn

The Big Idea: Dividing by 10

You already know that each place to the left is 10 times bigger. The same pattern works going right — but in reverse. Each place to the right is 10 times smaller.

Think of a pizza cut into equal slices:

The decimal point is the anchor. Everything to its left is a whole number. Everything to its right is a fraction of 1.

💡 The "ths" Rule

Decimal place names end in -ths: tenths, hundredths, thousandths. This is how you can tell a decimal place from a whole-number place at a glance. There is no "oneths" — the ones place sits right next to the decimal point on the left.

The Decimal Place Value Table

Here is the number 6.358 in the full table:

TensOnes · TenthsHundredthsThousandths
6 . 3 5 8

The 6 → ones → worth 6
The 3 → tenths → worth 0.3
The 5 → hundredths → worth 0.05
The 8 → thousandths → worth 0.008
So 6.358 = 6 + 0.3 + 0.05 + 0.008

Reading Decimals Aloud

There are two correct ways to say a decimal:

In everyday maths lessons, "six point three five eight" is perfectly fine. The formal way is used in more advanced work and on standardised tests.

Worked Examples

Example 1 — The number 2.47

2.47
DigitPlace NameValue
2Ones2
4Tenths0.4
7Hundredths0.07

2.47 = 2 + 0.4 + 0.07  ✅

Example 2 — The number 0.306 (zero in the tenths!)

0.306
DigitPlace NameValue
0Ones0
3Tenths0.3
0Hundredths0 (placeholder)
6Thousandths0.006

0.306 = 0.3 + 0.006  ✅ (skip the zero hundredths in expanded form)

Comparing Decimal Numbers

The golden rule is the same as always: compare left to right, one place at a time. But there is one extra trap with decimals — more digits does not mean bigger!

Is 0.6 greater than 0.58? Yes! Compare tenths first: 6 tenths > 5 tenths. So 0.6 > 0.58, even though 0.58 has more digits.

A helpful trick: add trailing zeros to make both numbers the same length. 0.6 = 0.60, and 0.60 > 0.58. ✅

⭐ Golden Rules to Remember

1. The decimal point is the anchor — never move it.
2. Each place to the right is ÷ 10: tenths (÷10), hundredths (÷100), thousandths (÷1000).
3. When comparing decimals, line up the decimal points and compare digit by digit from left to right. Add trailing zeros if it helps.

Common Mistakes to Avoid

⚠️ Watch Out For These!

Mistake 1 — "More digits = bigger number." With decimals this is false. 0.9 > 0.85 even though 0.85 has more digits. Always compare by place, not by length.

Mistake 2 — Saying "oneths." There is no oneths place. The column immediately left of the decimal is ones. Decimal places start at tenths.

Mistake 3 — Dropping the zero placeholder in decimals. 0.306 is NOT 0.36. The zero hundredths must stay to keep the 6 in the thousandths position. Removing it changes the entire number.

🧠 Quick Check — Try These!

Q1. In the number 3.074, what is the value of the digit 7?

A) 0.7    B) 0.07    C) 0.007

Answer: B — 0.07 (the 7 is in the hundredths place)

Q2. Which is greater: 0.5 or 0.49?

A) 0.49    B) 0.5    C) They are equal

Answer: B — 0.5 (0.50 > 0.49; compare tenths first: 5 > 4)

Q3. Write 5 + 0.2 + 0.008 as a decimal number.

A) 5.28    B) 5.208    C) 5.028

Answer: B — 5.208 (zero in the hundredths place keeps 8 in thousandths)

🎉 You've Completed All Lessons!

You've covered ones, tens, hundreds, thousands, millions, billions AND decimals. Test your skills with our games and tools!