Number (order and place value)

Lesson

Imagine if we could partition, or break down, a large number to make solving number problems easier. Well, we can! The first video shows you some ways to partition large numbers.

If you'd like to take the next step, and see how you might use this, the second video shows you how you might use the partitioning of a large number to solve a division number problem.

You may also want to check out some of the other strategies for division, as you might still find those useful, once you've partitioned your number into smaller chunks.

Are you ready now to see some examples?

We are going to write the number $88643$88643 in expanded form.

Fill in the Number Expander for $88643$88643.

**Number Expander:**$\editable{}$ Ten Thousands $\editable{}$ Thousands $\editable{}$ Hundreds $\editable{}$ Tens $\editable{}$ Units Next, fill in the total value of the ten thousands, thousands, hundreds, tens and units.

Number Expander: $8$8 Ten Thousands $8$8 Thousands $6$6 Hundreds $4$4 Tens $3$3 Units **Value:**$\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ Finally, write the number as a sum. This is its expanded form.

Number Expander: $8$8 Ten Thousands $8$8 Thousands $6$6 Hundreds $4$4 Tens $3$3 Units Value: $80000$80000 $8000$8000 $600$600 $40$40 $3$3 $88643$88643 $=$= $\editable{}$ $+$+ $\editable{}$ $+$+ $\editable{}$ $+$+ $\editable{}$ $+$+ $\editable{}$

Fill in the box with the missing number.

$89583=80000+\editable{}+500+80+3$89583=80000++500+80+3

We have written a number in the number expander below.

Number Expander: | $6$6 | Ten Thousands | $8$8 | Thousands | $8$8 | Hundreds | $3$3 | Tens | $3$3 | Units |

What is the value of the thousands?

What is the value of the tens?

Now look at the number $82299$82299. What is the value of the thousands?

Demonstrate an understanding of place value in whole numbers and decimal numbers from 0.01 to 100 000, using a variety of tools and strategies (e.g., use numbers to represent 23 011 as 20 000 + 3000 + 0 + 10 + 1; use base ten materials to represent the relationship between 1, 0.1, and 0.01)