3.1.a

Place value is used to read and write multi-digit whole numbers.

Example:

The number has a 3 in the ten thousands place, which is written as
thirty thousand.

The number has a 7 in the thousands place, which is written as
seven thousand.

The number has a 4 in the hundreds place, which is written as
four hundred.

The number has a 1 in the tens place and a 9 in the ones place, which is written as nineteen.

In the number, there is a comma between the thousands and hundreds places.
So, put a comma between "thirty-seven thousand" and "four hundred."

The number written in words is thirty-seven thousand, four hundred nineteen.

Example:

First, identify which digit is in each place.

thousands	2
hundreds	9
tens	4
ones	6

Then, write the digits as a number.
Put a comma every three digits, starting from the ones place and moving left.

2946 → 2,946

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 8 in the hundred thousands place represents 8 hundred thousands.
So, the value of the 8 in the hundred thousands place is 800,000.

The 5 in the ten thousands place represents 5 ten thousands.
So, the value of the 5 in the ten thousands place is 50,000.

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

800,000 + 50,000 + 5,000 + 800 + 70 + 4

Example:

Find the sum to write the number in standard notation.

20,000 + 1,000 + 900 + 70 + 2 = 21,972

In a multi-digit whole number, each place value is
ten times greater than the place value to its right.

So, a digit in one place represents ten times
what it represents in the place to its right.

Example:

The tens place is one place to the left of the ones place.

This means that a number in the tens place is ten times greater than the same number in the ones place.

So, 10 ones = 1 ten.

Place Value

Texas Essential Knowledge and Skills (TEKS): 3.1.a

use place value to read, write (in symbols and words), and describe the value of whole numbers through 999,999;

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