📘 Chapter 1 · Numbers 1 to 10,000

Grade 5 · CBSE · Place value, expanded form, rounding, Roman numerals, and more.

A 4-digit number has four places: Thousands · Hundreds · Tens · Ones.

Example: 3,482 is read as "three thousand four hundred eighty-two".

The smallest 4-digit number is 1,000 (one thousand).
The largest 4-digit number is 9,999.
Add 1 to 9,999 and you get 10,000 — the smallest 5-digit number!

💡 Tip: Always read from left (biggest place) to right (smallest place). That's like reading a sentence.

Every digit has a place value — its worth depending on where it sits.

Thousands	Hundreds	Tens	Ones
5	6	2	3
5,000	600	20	3

So 5,623 = 5,000 + 600 + 20 + 3.

Check: In 4,507 the digit 5 is in the hundreds place, so its value is 500. The 0 holds the tens place (value = 0), and the 7 is in the ones place (value = 7).

⚠️ Watch out: Zero keeps the place, but its value is always 0. Still, we have to write it — otherwise the number changes!

Both systems use the same digits but put commas differently.

Number	International (commas every 3)	Indian (3, then every 2)
Five thousand	5,000	5,000
Twelve thousand	12,000	12,000
One lakh	100,000	1,00,000

Until 99,999 both systems look the same. The difference starts at 1,00,000 (one lakh), which we'll meet in later chapters.

💡 For Chapter 1 (up to 10,000) the two systems agree. We use the standard "thousands" comma.

Expanded form breaks a number into the place value of each digit.

3,482 = 3,000 + 400 + 80 + 2
7,005 = 7,000 + 5 (we skip zero places)
4,060 = 4,000 + 60

Try these in your head: Expand 6,305 and 9,090.

Speak numbers piece by piece. Read the thousands part, then the rest.

3,482 → "three thousand four hundred eighty-two"
8,005 → "eight thousand five"
7,070 → "seven thousand seventy"

💡 If the tens digit is 0 and ones is not, say just the ones (e.g. 3,005 = "three thousand five"). If there are both tens and ones with no hundred, still say the "ty" part (e.g. 3,040 = "three thousand forty").

To compare two numbers:

Count the digits. More digits = bigger number (e.g. 1,000 > 999).
Same number of digits? Compare from the left (biggest place) toward the right until the digits differ.

4,578 vs 4,587: thousands same (4), hundreds same (5), but tens: 7 < 8, so 4,578 < 4,587.

💡 The "open mouth" of < or > faces the bigger number — like a hungry crocodile.

Rounding makes a number neater. Find the place you want to round to, then look at the next digit to the right.

If that digit is 5 or more → round up.
If it is less than 5 → round down.

Round 3,467 to the nearest 10: Ones digit is 7 (≥5) → round up → 3,470.
Round 5,231 to the nearest 100: Tens digit is 3 (<5) → round down → 5,200.
Round 4,650 to the nearest 1,000: Hundreds digit is 6 (≥5) → round up → 5,000.

⚠️ When rounding up, the digits after the rounding place become 0, and the rounding digit goes up by 1 (which may "carry over").

The successor of a number is the number that comes just after it (+1).

The predecessor of a number is the number that comes just before it (−1).

Successor of 4,999 → 5,000
Predecessor of 1,000 → 999
Successor of 6,089 → 6,090

💡 Successor starts with "S" like "Start the next step" — always bigger. Predecessor starts with "P" like "Previous" — always smaller.

Symbol	Value
I	1
V	5
X	10
L	50
C	100

Rules:

Add: if a smaller (or equal) value follows, add them. VI = 5 + 1 = 6.
Subtract: if a smaller value comes before a bigger one, subtract. IV = 5 − 1 = 4, IX = 9, XL = 40, XC = 90.
Never write the same symbol four times in a row (so 4 is IV, not IIII).

Examples:
14 = XIV · 27 = XXVII · 42 = XLII · 89 = LXXXIX · 99 = XCIX

Try it yourself below 👇

Convert: XXXV = ?

✍️ Practice

Auto-scored exercises. Answer all questions in a set, then click Check.

1. Numerals → Words

Write each number in words (lowercase is fine).

3,456 =

6,008 =

9,090 =

4,700 =

2. Words → Numerals

Type the number only (digits, no commas needed).

Five thousand two hundred thirty =

Seven thousand seven =

One thousand five =

Eight thousand eighty =

3. Place Value

Write the place value (the worth) of the underlined digit.

3,678 →

4,218 →

2,953 →

4,093 →

4. Expanded Form

Write as: 3000 + 400 + 20 + 1

3,421 =

5,009 =

8,760 =

6,305 =

5. Compare: <, >, =

Choose the correct sign from the dropdown.

4,578 ___ 4,587

9,000 ___ 8,999

2,500 ___ 2,500

3,450 ___ 3,540

5,010 ___ 5,001

6. Round Off

Write the rounded number (digits only, no commas).

3,847 to nearest 10 =

6,439 to nearest 100 =

2,500 to nearest 1,000 =

7,149 to nearest 100 =

4,650 to nearest 1,000 =

7. Roman ↔ Hindu-Arabic

Convert. Uppercase Roman letters.

XLII =

27 =

LXXV =

89 =

XC =

8. Successor, Predecessor & Patterns

Digits only, no commas.

Successor of 4,999 =

Predecessor of 1,000 =

100 more than 3,978 =

1,000 less than 6,234 =

Next: 1,500 · 2,000 · 2,500 · ?

🎯 Quiz

Three tiers. Score 70% on Explorer to unlock Adventurer, 80% on Adventurer to unlock Champion.

🖨️ Printable Worksheet

A print-optimised A4 worksheet with randomised questions and a built-in answer key. Perfect for a quiet practice session with a pencil.

Every reload generates fresh numbers.

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