Understanding

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Understanding Numbers
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Place Value/Face Value
Face value is 4

• Each digit in a number has a place value and a
  face value.
• In the number 4856, the digit 4 is in the
  thousands place value.
• Meaning the place value is thousands.
• The number you see (4) is the face value.

4856
Place value is thousands
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A place value chart helps us to read and
understand large numbers.
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(No Transcript)
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128 063 245 791
THOUSANDS
BILLIONS
UNITS ones, tens, hundreds
MILLIONS
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LFH JBG CIA EKD
Hundred Billion
Ten Thousand
Hundred Thousand
Ten Billion
Thousands
Billion
Hundred Million
Millions
Ones
Ten Million
Hundreds
Tens
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Saying Large Numbers

• Understand place value helps us say large numbers
  properly
• When saying large numbers you should
• A) start with the largest place value grouping
• B) say what you see, then say the grouped place
  value
• C) continue until all number have been read
• 34 907 521

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Try These

• 4 560 392
• 305 500 428
• 8 425 022 603
• 90 836 364 210
• 110 300 004 321
• 732 780 000 444
• 904 265
• 193 004

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Writing Numbers In Words

• When writing numbers in words you write exactly
  what you say
• 409 320 199
• Four hundred nine million, three hundred twenty
  thousand, one hundred ninety-nine

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Try These

• Two hundred sixty four thousand, five hundred
  three
• Ninety million, sixty-two thousand four
• Seven hundred five million, twenty-two
• Five hundred sixty-three thousand, four hundred
  thirteen
• Two billion, three hundred million, seven
  thousand, sixteen

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Standard and Expanded Form
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• When numbers are presented in numerical digits,
  it is called the standard form of a number.
• 4856

Standard Form
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• Numbers can also be represented in expanded form.
  
• This means writing the value of a number using
  the face value and place value of each digit.
• The number 4856 in expanded form is
• Method a)
• 4000 800 50 6
• Method b)
• 4 x 1000 8 x 100 5 x 10 6 x 1

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Try These

• 3982
• 23 508
• 60 000 2000 900 40 5
• 800 000 50 000 300 60 4
• 3 x 100 000 7 x 10 000 2 x 1000
• 8 x 100 4 x 10 5 x 1
• 6 x 100 000 2 x 1000 8 x 100
• 5 x 10 6 x 1

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Try These

• 30 5000 300 000 200 4
• 200 000 900 4000 3 10 000
• 6000 20 000 900 400 000 5
• 800 000 5000 3 60 400
• 3 x 1000 7 x 100 000 2 x 100
• 8 x 10 000 4 x 1 5 x 10
• 6 x 10 000 2 x 100 000 8 x 1000
• 5 x 1 6 x 100

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Expanded Form Using Powers of 10
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Expanded Notation Using Powers of 10

• Numbers can also be written in expanded form
  using powers of 10
• We will call this expanded form Method C
• Knowing Method A and B makes method C easy

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• The number 4856 in expanded form is
• Method a)
• 4000 800 50 6
• Method b)
• 4 x 1000 8 x 100 5 x 10 6 x 1
• Method c)
• 4 x 103 8 x 102 5 x 101 6 x 100

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Try These

• 32 906
• 53 800
• 40 641
• 7 x 103 2 x 102 5 x 101 3 x 100
• 9 x 105 8 x 103 7 x 102 6 x 101
• 5 x 106 2 x 104 9 x 103 6 x 100