How are the different places in a place-value chart

related?Millions Thousands Ones

Hundred Millions

Ten Millions

Millions

Hundred Thousands

Ten Thousands

Thousands

Hundreds Tens Ones

In this lesson you will learn how the value of each whole-

number place is related by constructing a place-value

chart.

Let’s Review

Base-ten numeration system

0 1 2 3 4 5 6 7 8 9

A Common Misunderstanding

Not thinking about the place value of the digits when writing numerals.

80003

8,003

Core Lesson

OnesHundreds Tens OnesTens Ones

x 10

10100 1 1 1

1 1 1

1 1 1 1

10 10

10 10 10

10 10 10 10

x 10

Core Lesson

1,00010,000100,000

Hundred Thousands Ten Thousands Thousands HundredsThousands Hundreds

100 100 100

100 100 100

100 100 100 100

1,000 1,000

1,000 1,000 1,000

1,000 1,000 1,000 1,000

Ten Thousands Thousands Hundreds

10,000 10,000

10,000 10,000 10,000

10,000 10,000 10,000 10,000

x 10x 10x 10

Hundreds

Core Lesson

100,000

Hundred ThousandsMillions Hundred Thousands

100,000 100,000

100,000 100,000 100,000

100,000 100,000 100,000 100,000

1,000,000

Hundred Millions Ten Millions Millions Hundred ThousandsTen Millions Millions Hundred Thousands

x 10x 10 x 10

Core Lesson

Millions Thousands Ones

Hundred Millions

Ten Millions

Millions

Hundred Thousands

Ten Thousands

Thousands

Hundreds

Tens

Ones

x 10x 10x 10x 10x 10x 10x 10x 10?

11 01 0 01 0 0 01 0 0 0 01 0 0 0 0 01 0 0 0 0 0 01 0 0 0 0 0 0 01 0 0 0 0 0 0 0 0

Core Lesson

Hundreds Tens Ones

1 0 01÷ 10 ÷ 10

10 is of 100 1 is of 10

Core Lesson

Thousands Period Ones Period

Hundred Thousands

Ten Thousands

Thousands

Hundreds

Tens Ones

1,000 ÷ 10 = 100 1 0 0 0 1 0 0

1 0 1

What patterns do you notice?

1 0 0 0 1 0 0

1 0

100 ÷ 10 = 10

10 ÷ 10 = 1

Each time you move to the right on the place-value chart, the value is 10 times smaller than the place to the left.

Core Lesson

How are the places in a place-value chart related?

As you move to the right, each place is 10 times smaller, or 1/10 the value, of the place

to the left.

As you move to the left, each place is 10 times larger than the place to

the right.Millions Thousands Ones

Hundred Millions

Ten Millions

Millions

Hundred Thousands

Ten Thousands

Thousands

Hundreds

Tens Ones

x 10÷ 10

In this lesson you have learned how the value of each whole-

number place is related by constructing a place-value

chart.