NS. 1.5 – Use expanded form to represent numbers.

Define expanded form.Define standard form.Write numbers in expanded form.

Place Value – the value of where a digit is in the number, such as ones, tens, hundreds.

Standard Form – a way of writing numbers using digits.

Expanded Form – pulling apart a number to show how much each digit represents.

Hundreds Tens Ones

3,582

3,582Thousands Hundreds Tens Ones

3,000 +

3,582Thousands Hundreds Tens Ones

3,000

500 +

3,5823,000 500

Thousands Hundreds Tens Ones

80 +

3,582Thousands Hundreds Tens Ones

3,000 500 80

2 3,582

5003,000 280

Thousands Hundreds Tens Ones

Steps for Writing Numbers in Expanded Form

1.Write the number

2.Write the number of blanks _____ + _____+_____+_____3.Write the value of each digit for each place.

_____ + _____+_____+_____

3, 522

205003,000 2

Step 1 – Write the number

347

Step 2 – Write the number of blanks.

347__________ + __________ + __________

Step 3 – Write the value of each digit for each place

347 __________ + __________+ __________300 40

Hundreds Tens Ones

7

Step 1 – Write the number

9,649

Step 2 – Write the number of blanks.

________ + ________+ ________ +_________

9,649Thousands Hundreds Tens Ones

9,000 600 40 9

Step 1 – Write the number.Step 2 – Write the number of blanks.Step 3 – Write the value of each digit for each place.

437

__________ + __________+ __________400 30 7

Step 1 – Write the number.Step 2 – Write the number of blanks.Step 3 – Write the value of each digit for each place.

781__________ + __________+ __________700 80 1

Step 1 – Write the number.Step 2 – Write the number of blanks.Step 3 – Write the value of each digit for each place.

6, 995__________ + __________ + __________+ __________6,000 90 5900

Step 1 – Write the number.Step 2 – Write the number of blanks.Step 3 – Write the value of each digit for each place.

7,189________ + ________+ ________ +_________7,000 100 80 9

Step 1 – Write the number.Step 2 – Write the number of blanks.Step 3 – Write the value of each digit for each place.

3,2523,000 200 5 2________ + ________+ ________ +_________

Still the same 3 steps, but we have to add one more!

Step 1 – Write the number.Step 2 – Write the number of blanks.Step 3 – Write the value of each digit for each place.Step 4 – If there is a 0, rewrite the number leaving the 0 out.

What happens if you have a

number with a 0 in it?

701

701Step 1 – Write the number.

Step 2 – Write the number of blanks.

Step 3 – Write the value of each digit for each place.

Step 4 – If there is a 0, rewrite the number leaving the 0 out.

________+ ________ +_________

________+ ________ +_________700 0 1

700 1________ +_________

Step 1 – Write the number.Step 2 – Write the number of blanks.

Step 3 – Write the value of each digit for each place.

Step 4 – If there is a 0, rewrite the number leaving the 0 out.

620600 020________+ ________ +_________

Your

turn

!

________+ ________ 600 20

Step 1 – Write the number.Step 2 – Write the number of blanks.

Step 3 – Write the value of each digit for each place.

Step 4 – If there is a 0, rewrite the number leaving the 0 out.

8,0938,000

390________+ ________ +_________+________

Your

turn

! 0

________+ ________ +__________8,000

90 3

Step 1 – Write the number.Step 2 – Write the number of blanks.

Step 3 – Write the value of each digit for each place.

Step 4 – If there is a 0, rewrite the number leaving the 0 out.

5,2035,000

0200

________+ ________ +_________+__________

Your

turn

! 3

________+ ________ +_________5,000

200

3

Step 1 – Write the number.Step 2 – Write the number of blanks.Step 3 – Write the value of each digit for each place.

Partner Practice

Be careful!! There are four extra numbers that are

meant to be tricky!

The expanded form of

__________ is ___ + __ + __ +___.