understanding numbers
DESCRIPTION
Understanding Numbers. What is a place value Chart?. Why do you think a place Value chart would be Helpful?. Place Value/Face Value. Face value is 4. Each digit in a number has a place value and a face value. In the number 4 856, the digit 4 is in the thousands place value. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Understanding Numbers](https://reader036.vdocuments.mx/reader036/viewer/2022062300/56812a67550346895d8de9c6/html5/thumbnails/1.jpg)
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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
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A place value chart helps us to read and understand large
numbers.
![Page 6: Understanding Numbers](https://reader036.vdocuments.mx/reader036/viewer/2022062300/56812a67550346895d8de9c6/html5/thumbnails/6.jpg)
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3 245 791
THOUSANDS
MILLIONS
UNITSones, tens, hundreds
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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
4 907 521
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Try These• 4 560 392• 5 500 428• 5 022 603• 6 364 210• 4 321• 444• 904 265• 193 004
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Writing Numbers In Words
• When writing numbers in words you write exactly what you say:
9 320 199• nine million, three hundred twenty
thousand, one hundred ninety-nine
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Try These1. Two hundred sixty four thousand, five
hundred three2. Nine million, sixty-two thousand four3. Five million, twenty-two4. Five hundred sixty-three thousand,
four hundred thirteen5. Two million, seven thousand, sixteen
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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 + 6Method 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 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 + 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
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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