Understanding Numbers

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# Understanding Numbers - PowerPoint PPT Presentation

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.

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## PowerPoint Slideshow about 'Understanding Numbers' - ila-love

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Presentation Transcript

Why do you think a place

Value chart would be

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

3245791

THOUSANDS

UNITS

ones, tens, hundreds

MILLIONS

Saying Large Numbers
• Understand place value helps us say large numbers properly
• When saying large numbers you should:
• B) say what you see, then say the grouped place value
• C) continue until all number have been read

4 907 521

Try These
• 4 560 392
• 5 500 428
• 5 022 603
• 6 364 210
• 4 321
• 444
• 904 265
• 193 004
Writing Numbers In Words
• When writing numbers in words you write exactly what you say:

9320 199

• nine million, three hundred twenty thousand, one hundred ninety-nine
Try These
• Two hundred sixty four thousand, five hundred three
• Nine million, sixty-two thousand four
• Five million, twenty-two
• Five hundred sixty-three thousand, four hundred thirteen
• Two million, seven thousand, sixteen

Standard and

Expanded Form

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 + 6

Method 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 Form

Using Powers of 10

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 + 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

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