Place Value What is place value? Place Value: tells us what value each number has because of its...

Place Value

What is place value?

Place Value: tells us what value

each number has because of

its place, or position, in any number.

Hundreds Tens OnesThousands

How Many?

200 30 5

200 + 30 + 5 235

Hundreds Tens Ones

How Many?

200 + 30 + 7

300 + 20 + 7

700 + 30 + 2

Hundreds Tens Ones

3

Which numeral is in the tens place?

If you said “4,” you were right!

Hundreds Tens Ones

47

4 = 4 tens or 40

6

Which numeral is in the hundreds place?

If you said “6,” you were right!

Hundreds Tens Ones

92

6 = 6 hundreds or 600

What is the standard form of?

4,367 4,367

Standard Form is written using numbers – how we usually see

numbers in the real world.

What is the expanded form of?

4,367 4,000 + 300 + 60 + 7

Expanded Form- is writing out each digits value.

(4*1,000) + (3* 100) + (6*10) + (7*1)or

(4*10³) + (3* 10²) + (6*10) + (7*1)

What is the expanded form of?

56,803 50,000 + 6,000 + 800 + 3

(5*10⁴) + (6* 10³) + (8*10²) + (3*1)

(5*10,000) + (6* 1,000) + (8*100) + (3*1)

What is the expanded form of?

79.503 70+ 9 + .5 + .003

(7*10)+ (9*1) + (5*.1) + (3*.001)

What is the standard form of?

6,823

6,000 + 800 + 20 + 3

What is the word form of?

4,367

four thousand, three hundredsixty-seven

Word Form is writing numbers using words.

What is the word form of?

29.012

Twenty-nine and twelve thousandths

What are the periods of this number?

684,367,671,690,492

Tri

llio

n

Bil

lion

Mil

lion

Tho

usan

d

One

s

How to read large numbers

684,367,671,690,492

Tri

llio

n

Bil

lion

Mil

lion

Tho

usan

d

One

s

Read the numbers before the comma as if you were reading in the one’s column.

Say the period you are in when you get to the comma except for the one’s period.

Read this number

4,371,024

four million, three hundred seventy-one thousand, twenty-four

Read this number

973,104

nine hundred seventy-three thousand, one hundred four

Read this number

384,133,472

three hundred eighty-four million, one hundred thirty-three thousand,

four hundred seventy-two

Read this number

1,874,304,039,270one trillion, eight hundred seventy-four

billion, three hundred four million, thirty-nine thousand, two hundred seventy

Read this number

4,829,905 four million,

eight hundred twenty-nine thousand, nine hundred five

Remember that each period hasthree place values within the period

684,367,671,690,492

Hun

dred

sTe

n s

Tri

llio

nO

nes

Hun

dred

sTe

n s

B

i lli

onO

nes

Hun

dred

sTe

n s

Mi l

lion

One

s

Hun

dred

sTe

n s T

hous

a nd

One

s

Hun

dred

sTe

n s

O

nes

One

s

What place value is the 8 in thisnumber?

4,829,905Place- Hundred thousands

Value- 8 hundred thousandor

800,000

What place value is the 2 in thisnumber?

4,829,105Place -Ten thousandsValue- 20 thousand

or20,000

What place value is the 4 in thisnumber?

4,829,105Place- Millions

Value- 4 Million or

4,000,000

What place value is the 5 in thisnumber?

654,829,103Place- Ten millions

Value- 50 millionor

50,000,000

What is this number in standardform?

Ninety thousand, four hundred

eight90,408

What is this number in standardform?

Seven million, twenty-two thousand, two hundred

7,022,200

What is this number in expandedform?

7,021,500

7,000,000 + 20,000 + 1,000 + 500

What is a decimal?

A decimal is a part of a whole.

One dollar, 4 dimes, and 3 pennies is written in decimal form.

Think about money.

$1.43WHOLE PART

It takes 10 dimes to make 1 dollar, so a

dime is one-tenth of a dollar.

$0.10 = one dime

It takes 100 pennies to make 1 dollar, so a penny is one-hundredth of a dollar.

$0.01 = one penny

Money in Numbers

$ Dollar Sign

Dollar Bill $1.00

Quarter $0.25

Dime $0.10

Nickle $0.05

Penny $0.01

Money is one way we use decimals every day, but decimals are used for more than just money.

Decimals can also be

shown on the place value

chart.

thou

sand

s

hun

dre

ds

tens

ones

tent

hs

hun

dre

dth

s

thou

sand

ths

ten-

thou

sand

ths

Everything to the left of the decimal point is a WHOLE number.

Everything to the right of the decimal point is PART of a whole.

thou

sand

s

hund

reds

tens

ones

tent

hs

hund

redth

s

thou

sand

ths

ten-

thou

sand

ths

1 4

This shows 14 (fourteen) spiders.

thou

sand

s

hund

reds

tens

ones

tent

hs

hund

redth

s

thou

sand

ths

ten-

thou

sand

ths

1 1 5

This shows 115 (one hundred fifteen) candy-corns.

thou

sand

s

hun

dre

ds

tens

ones

tent

hs

hun

dre

dth

s

thou

sand

ths

one hundred thirty

3

-four

4

and seven ten-thousandths

0 0 0 71

Decimals show parts of wholes in divisions of ten.

Decimals can show parts of wholes in divisions of hundreds or thousands.

Now practice writing and saying some decimals.

What portion of the square is green?

What portion of the square is yellow?

0.4 (or four tenths) of the square is green. 0.6 (six tenths) of the square is yellow.

0.4 0.6