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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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Understanding Numbers

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Understanding numbers

Understanding

Numbers


Understanding numbers

What is a place value

Chart?


Understanding numbers

Why do you think a place

Value chart would be

Helpful?


Place value face value

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


Understanding numbers

A place value chart helps us to read and understand large numbers.


3 245 791

3245791

THOUSANDS

UNITS

ones, tens, hundreds

MILLIONS


Saying large numbers

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


Try these

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

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 these1

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


Understanding numbers

Standard and

Expanded Form


Understanding numbers

  • When numbers are presented in numerical digits, it is called the standard form of a number.

    4856

Standard Form


Understanding numbers

  • 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 these2

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 these3

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


Understanding numbers

Expanded Form

Using Powers of 10


Expanded notation 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


Understanding numbers

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 these4

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


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