This lesson will extend our understanding of place value to larger numbers.

As an example, let's consider the following six-digit number:

346,209

The place value chart for this number is as follows:

hundred-thousands ten-thousands thousands hundreds tens ones
3 4 6 2 0 9


This place value chart has a ten-thousands column and a hundred-thousands column, as well as the usual thousands, hundreds, tens, and ones columns.

We say that 346,209 has

  • 3 hundred-thousands

  • 4 ten-thousands

  • 6 thousands

  • 2 hundreds

  • 0 tens, and

  • 9 ones.

FLAG

Complete the following statement:

\qquad The number 47, 683 has 4 \underline{\phantom{0000000000000}}.

EXPLANATION

Let's start by writing down the place values.


ten-thousands thousands hundreds tens ones
\color{blue}4 7 6 8 3

We have 4 in the ten-thousands place. So the complete statement is as follows:

\qquad The number 47, 683 has 4 ten-thousands.

FLAG

How many hundreds does the number $90,104$ have?

a
$1$
b
$5$
c
$4$
d
$0$
e
$9$

Complete the following statement:

$\qquad$ The number $73, 205$ has $7$ $\underline{\phantom{0000000000000}}.$

a
hundreds
b
millions
c
hundred-thousands
d
thousands
e
ten-thousands

Complete the following statement:

\qquad The number 903,784 has 9 \underline{\phantom{0000000000000}}.

EXPLANATION

Let's start by writing down the place values.


hundred-thousands ten-thousands thousands hundreds tens ones
\color{blue}9 0 3 7 8 4

We have 9 in the hundred-thousands place. So, the complete statement is as follows:

\qquad "The number 903,784 has 9 hundred-thousands".

FLAG

In $472,315,$ which digit is in the ten-thousands place?

a
$2$
b
$3$
c
$7$
d
$4$
e
$1$

Complete the following statement:

$\qquad$ The number $443,578$ has $3$ $\underline{\phantom{0000000000000}}.$

a
thousands
b
tens
c
hundreds
d
ten-thousands
e
hundred-thousands

Let's now consider the following seven-digit number:

2,402,536

The place value chart for this number is as follows:

millions hundred-thousands ten-thousands thousands hundreds tens ones
2 4 0 2 5 3 6


This place value chart has a new millions column.

We say that 2,402,536 has

  • 2 millions

  • 4 hundred-thousands

  • 0 ten-thousands

  • 2 thousands

  • 5 hundreds

  • 3 tens, and

  • 6 ones.

FLAG

Complete the following statement:

\qquad The number 3,275,164 has 3 \underline{\phantom{0000000000000}}.

EXPLANATION

Let's start by writing down the place values.


millions hundred-thousands ten-thousands thousands hundreds tens ones
\color{blue}3 2 7 5 1 6 4

We have 3 in the millions place. So, the complete statement is as follows:

\qquad "The number 3,275,164 has 3 millions".

FLAG

How many ten-thousands does the number $5,085,379$ have?

a
$8$
b
$0$
c
$7$
d
$3$
e
$5$

Complete the following statement:

$\qquad$ The number $2,483,675$ has $2$ $\underline{\phantom{0000000000000}}.$

a
ten-thousands
b
hundreds
c
hundred-thousands
d
millions
e
thousands

What number has 5 millions and 5 hundreds?

EXPLANATION

Let's start by writing down the place values.

We have 5 millions and 5 hundreds. For the other place values, we just write zero.

millions hundred-thousands ten-thousands thousands hundreds tens ones
5 0 0 0 5 0 0

So our number is 5,000,500.

FLAG

What number has $5$ ten-thousands, $3$ thousands, $1$ hundreds, $6$ tens, and $8$ ones?

a
$168,530$
b
$530,168$
c
$53,168$
d
$35,861$
e
$501,386$

What number has $9$ ten-thousands and $2$ tens?

a
$90,020$
b
$92,020$
c
$90,022$
d
$92,000$
e
$90,200$
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