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.

3 245 791

THOUSANDS

MILLIONS

UNITSones, tens, hundreds

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• 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:

9 320 199• nine million, three hundred twenty

thousand, one hundred ninety-nine

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

• 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