Number - Place value and ordering numbers up to 1000

Grade 3IGCSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Place Value: Understanding that each digit in a three-digit number represents a specific value (Hundreds, Tens, or Ones).

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Standard Form: Writing numbers normally (e.g., 452).

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Expanded Form: Breaking a number down into its constituent parts (e.g., 400 + 50 + 2).

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Comparing Numbers: Using symbols to show the relationship between two numbers (Greater than '>', Less than '<', or Equal to '=').

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Ordering Numbers: Arranging a set of numbers in ascending order (smallest to largest) or descending order (largest to smallest).

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Number Lines: Identifying the position of numbers between 0 and 1000 on a scale.

📐Formulae

\text{Total Value} = (H \times 100) + (T \times 10) + (O \times 1)

a > b \text{ (} a \text{ is greater than } b \text{)}

a < b \text{ (} a \text{ is less than } b \text{)}

💡Examples

Problem 1:

What is the value of the digit 7 in the number 743?

Solution:

700

Explanation:

In the number 743, the 7 is in the hundreds place. Therefore, its value is 7 hundreds, which is 700.

Problem 2:

Write the number 809 in expanded form.

Solution:

800 + 0 + 9

Explanation:

Expand the number by identifying the value of each place: 8 hundreds (800), 0 tens (0), and 9 ones (9).

Problem 3:

Compare these two numbers using >, <, or =: 562 ___ 526.

Solution:

562 > 526

Explanation:

Compare the hundreds first (both are 5), then compare the tens. Since 6 tens is greater than 2 tens, 562 is the larger number.

Problem 4:

Arrange the following numbers in ascending order: 341, 143, 314.

Solution:

143, 314, 341

Explanation:

Ascending order means smallest to largest. 143 is the smallest because it has the fewest hundreds. Between 314 and 341, 314 is smaller because it has fewer tens.