3.NR.1.1

A four-digit number is made up of thousands,
hundreds, tens, and ones.

The digits in the number show how many, thousands,
hundreds, tens, and ones.

Example:

9,456 has a 9 in the thousands place, a 4 in the hundreds place, a 5 in the tens place, and a 6 in the ones place.

So, 9,456 is the same as 9 thousands, 4 hundreds, 5 tens, and 6 ones.

Example:

A number with 7 thousands, 1 hundred, 1 ten, and 7 ones has a 7 in the thousands place, a 1 in the hundreds place, a 1 in the tens place, and a 7 in the ones place.

So, 7 thousands, 1 hundred, 1 ten, and 7 ones is the same as 7,117.

Expanded notation is a way to write a number as the
sum of the value of each digit based on its place value.

Example:

First, identify the value of each digit in the number based on its place value.

The 5 in the thousands place represents 5 thousands.
So, the value of the 5 in the thousands place is 5,000.

The 8 in the hundreds place represents 8 hundreds.
So, the value of the 8 in the hundreds place is 800.

The 7 in the tens place represents 7 tens.
So, the value of the 7 in the tens place is 70.

The 4 in the ones place represents 4 ones.
So, the value of the 4 in the ones place is 4.

Then, to write the number in expanded notation, write the values as a sum.

5,000 + 800 + 70 + 4

Example:

In expanded form, the number is separated into a sum of the values of each digit.

This number has a 1 in the thousands place, a 9 in the hundreds place, a 7 in the tens place, and a 2 in the ones place.

So, 1,000 + 900 + 70 + 2 written in standard notation is 1,972.

Read & Write Numbers

Georgia Standards of Excellence (GSE): 3.NR.1.1

Read and write multi-digit whole numbers up to 10,000 using base-ten numerals and expanded form.

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