# Understanding Numbers - PowerPoint PPT Presentation

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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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#### Presentation Transcript

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 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

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

### 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:

• 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

• 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