Numbers up to 1000

Numbers up to 1000 — Place Value

What you'll learn

The place-value chart: hundreds, tens, and ones.
How to read and find the value of a digit based on its position.
To build and break down 3-digit numbers using place value.

Key concepts

Level 1 — Core idea

Verbal: In 356, the digit 3 is in the hundreds place, 5 is in the tens place, and 6 is in the ones place.

Symbolic: 356 = 300 + 50 + 6.

Visual:

Hundreds	Tens	Ones
3	5	6

Level 2 — Going deeper

The value of a digit = digit × (100, 10, or 1) depending on its place. So in 356, the value of 3 is 3 × 100 = 300, not just "3". This is different from just naming the digit.

NCERT anchor

NCERT Math Mela, Class 3 — Chapter 9 (House of Hundreds) introduces bundles of 100, 10, and single units to build 3-digit numbers using place-value blocks.

Worked example

What is the value of the digit 7 in 472?

Step 1 — Find where 7 sits: tens place.
Step 2 — Value = 7 × 10 = 70.
Answer: 70

What is the value of the digit 9 in 934?

Step 1 — Find where 9 sits: hundreds place.
Step 2 — Value = 9 × 100 = 900.
Answer: 900

Common mistakes

Mistake	Why	Fix
Saying the value of 7 in 472 is "7"	Confusing digit with value	Multiply by the place: 7 in tens place → 7 × 10 = 70
Mixing up hundreds and tens columns	Reading the number from the wrong end	Always read left to right: hundreds, tens, ones
Thinking 0 in the tens place has no effect	Ignoring the placeholder role of zero	0 keeps the other digits in their correct place, e.g. 305 = 300 + 0 + 5

Quick check

What is the value of the digit 4 in 148?
In 605, what is the value of the digit 6?
Which digit is in the ones place of 372?
Stretch: Build the largest 3-digit number using the digits 2, 8, and 5 exactly once. (852)

Revision tip: Always ask "which place is it in?" before answering "what is its value?"

Open the Practice tab for graded questions on Numbers up to 1000.

Numbers up to 1000