Understanding Numbers
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Transcript of Understanding Numbers
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
A place value chart helps us to read and understand large
numbers.
128 063 245 791
THOUSANDS
MILLIONS
BILLIONS
UNITSones, tens, hundreds
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
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