Place Value with Four Digit

Standard: 3.NBT.A.1

Use place value understanding to round whole numbers to the nearest 10 or 100.

Learning Outcomes

The students will learn to break down numbers into place values.
They learn how each digit contributes to the overall values of the number, making math easier to work with, especially in operations.
The operations will be addition, subtraction, multiplication, and division.
Students will be able to break down a number into thousands, hundreds, tens, and ones.
For example, they can decompose 2750 as 200 + 70 + 5+0 and understand how these parts combine to make the whole number.

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Understanding the place value:

Place value is all about understanding a digit is position within a number and how that position changes the digit’s value.

In a 4-digit number, the places from left to right are:

Thousands place
Hundreds place
Tens place
Ones place

Place Value Chart:

Thousands	Hundreds	Tens	Ones

Each digit in a number has a different value based on where it is. Let’s look at some examples to understand this better:

When teaching students to use place value understanding for 4-digit numbers, it is essential to focus on how each digit represents a different value (thousands, hundreds, tens, and ones) and how this knowledge can be applied to round numbers.

Example 1:

Breakdown numbers into places 4,825

Breakdown:

Thousands place: 4 → 4,000
Hundreds place: 8 → 800
Tens place: 2 → 20
Ones place: 5 → 5

Place value explanation:

The 4 in the thousands place means 4,000.
The 8 in the hundreds place means 800.
The 2 in the tens place means 20.
The 5 in the ones place means 5.

So, the number 4,825 is 4,000 + 800 + 20 + 5.

Example 2:

Breakdown numbers into places 2,936

Breakdown:

Thousands place: 2 → 2,000
Hundreds place: 9 → 900
Tens place: 3 → 30
Ones place: 6 → 6

Place value explanation:

The 2 in the thousands place means 2,000.
The 9 in the hundreds place means 900.
The 3 in the tens place means 30.
The 6 in the ones place means 6.

So, the number 2,936 is 2,000 + 900 + 30 + 6.

Example 3:

Breakdown numbers into places 7, 104

Breakdown:

Thousands place: 7 → 7,000
Hundreds place: 1 → 100
Tens place: 0 → 0
Ones place: 4 → 4

Place value explanation:

The 7 in the thousands place means 7,000.
The 1 in the hundreds place means 100.
The 0 in the tens place means 0.
The 4 in the ones place means 4.

So, the number 7,104 is 7,000 + 100 + 0 + 4.

Why it matters:

Understanding the place value of 4-digit numbers helps students grasp the concept of thousands, hundreds, tens, and ones. This knowledge is crucial for performing accurate calculations, comparing large numbers, and solving real-world problems like managing money or reading measurements. It builds a strong foundation for advanced math concepts.

By practicing place value, you'll be able to solve real-world problems quickly!

Let’s practice and evaluate your wo together by placing a 4-digit number.