place value/face value each digit in a number has a place value and a face value. in the number...
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Place Value/Face Value• 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
Face value is 4
Place value is
thousands
LFH JBG CIA EKD
Ten Thousand
Ten Million
Ten Billion
Ones
Hundred Thousan
d
Hundreds
Millions
BillionThousands
HundredMillion
Tens
HundredBillion
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
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
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
Try These1. Two hundred sixty four thousand, five
hundred three2. Ninety million, sixty-two thousand four3. Seven hundred five million, twenty-two4. Five hundred sixty-three thousand, four
hundred thirteen5. Two billion, three hundred million,
seven thousand, sixteen
• When numbers are presented in numerical digits, it is called the standard form of a number.
4856
Standard Form
• 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 + 6Method b)
4 x 1000 + 8 x 100 + 5 x 10 + 6 x 1
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
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
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
The number 4856 in expanded form is:Method a)
4000 + 800 + 50 + 6Method b)
4 x 1000 + 8 x 100 + 5 x 10 + 6 x 1Method c)
4 x 103 + 8 x 102 + 5 x 101 + 6 x 100