ns. 1.5 – use expanded form to represent numbers. define expanded form. define standard form. ...
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NS. 1.5 – Use expanded form to represent numbers.
Define expanded form.Define standard form.Write numbers in expanded form.
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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
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3,582Thousands Hundreds Tens Ones
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3,000 +
3,582Thousands Hundreds Tens Ones
3,000
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500 +
3,5823,000 500
Thousands Hundreds Tens Ones
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80 +
3,582Thousands Hundreds Tens Ones
3,000 500 80
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2 3,582
5003,000 280
Thousands Hundreds Tens Ones
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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
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Step 1 – Write the number
347
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Step 2 – Write the number of blanks.
347__________ + __________ + __________
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Step 3 – Write the value of each digit for each place
347 __________ + __________+ __________300 40
Hundreds Tens Ones
7
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Step 1 – Write the number
9,649
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Step 2 – Write the number of blanks.
________ + ________+ ________ +_________
9,649Thousands Hundreds Tens Ones
9,000 600 40 9
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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
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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
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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
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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
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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________ + ________+ ________ +_________
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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
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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________ +_________
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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
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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
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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
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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!
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The expanded form of
__________ is ___ + __ + __ +___.
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