Place Value to the Billions - Amazon Web Services · Billions Millions Thousands Ones 100 10 1 100...

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Place Value to the Billions

Stephen J O’Connor

Thursday, December 30, 2010

400 + 80 + 3

Activate Knowledge

Thursday, December 30, 2010

5,000 + 200 + 60

Activate Knowledge

Thursday, December 30, 2010

20,000 + 300 + 8

Activate Knowledge

Thursday, December 30, 2010

90,000 + 800 + 6

Activate Knowledge

Thursday, December 30, 2010

Digits?

Thursday, December 30, 2010

Digits

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Thursday, December 30, 2010

BillionsBillionsBillions MillionsMillionsMillions ThousandsThousandsThousands OnesOnesOnes

100 10 1 100 10 1 100 10 1 100 10 1

,,,

Places

Thursday, December 30, 2010

BillionsBillionsBillions MillionsMillionsMillions ThousandsThousandsThousands OnesOnesOnes

100 10 1 100 10 1 100 10 1 100 10 1

,,,

Place Values

Thursday, December 30, 2010

BillionsBillionsBillions MillionsMillionsMillions ThousandsThousandsThousands OnesOnesOnes

100 10 1 100 10 1 100 10 1 100 10 1

,,,

} } } }Periods

Thursday, December 30, 2010

BillionsBillionsBillions MillionsMillionsMillions ThousandsThousandsThousands OnesOnesOnes

100 10 1 100 10 1 100 10 1 100 10 1

,,,

Thursday, December 30, 2010

Find the value of the red digit

3,246,812

Thursday, December 30, 2010

Find the value of the red digit

3,246,8124

Copy the digit under the number

Thursday, December 30, 2010

Find the value of the red digit

3,246,81240,000

Replace the right hand digits with zeros

Thursday, December 30, 2010

Student Response

Find the value of the red digit

34,875

Thursday, December 30, 2010

Student Response

Find the value of the red digit

8,003,245

Thursday, December 30, 2010

Student Response

Find the value of the red digit

125,000

Thursday, December 30, 2010

Student Response

Find the value of the red digit

18,234,876,100

Thursday, December 30, 2010

BillionsBillionsBillions MillionsMillionsMillions ThousandsThousandsThousands OnesOnesOnes

100 10 1 100 10 1 100 10 1 100 10 1

3 5 7 9 0 0 0 0 0 0,,,

Standard Form: 3,579,000,000

Expanded Form: 3,000,000,000 + 500,000,000 +70,000,000 + 9,000,000

Word Form: Three billion, five hundred seventy-nine million

Thursday, December 30, 2010

BillionsBillionsBillions MillionsMillionsMillions ThousandsThousandsThousands OnesOnesOnes

100 10 1 100 10 1 100 10 1 100 10 1

3 5 7 9 0 0 0 0 0 0,,,

Standard Form: 3,579,000,000

3,579,000,0003,000,000,000 + 500,000,000 +

70,000,000 +9,000,000 +

Copy each digit under the number and fill in places to right with 0s

Thursday, December 30, 2010

BillionsBillionsBillions MillionsMillionsMillions ThousandsThousandsThousands OnesOnesOnes

100 10 1 100 10 1 100 10 1 100 10 1

3 5 7 9 0 0 0 0 0 0,,,

Standard Form: 3,579,000,000

3,579,000,0003,000,000,000 + 500,000,000 +

70,000,000 +9,000,000 +

Continue with each place

Thursday, December 30, 2010

Convert from standard to expanded form

Student Response

5,791

Thursday, December 30, 2010

Convert from standard to expanded form

Student Response

367,245

Thursday, December 30, 2010

Convert from standard to expanded form

Student Response

5,791,000

Thursday, December 30, 2010

Convert from standard to expanded form

Student Response

6,000,001,234

Thursday, December 30, 2010

Expanded Form to Standard Form

40,000 +1,000 + 300 + 70 + 240,0001,00030070

+ 2

Rewrite vertically

Thursday, December 30, 2010

Expanded Form to Standard Form

40,000 +1,000 + 300 + 70 + 240,0001,00030070

+ 2

Line up places carefully

Thursday, December 30, 2010

Expanded Form to Standard Form

40,000 +1,000 + 300 + 70 + 240,0001,00030070

+ 241,372

Add

Thursday, December 30, 2010

Expanded Form to Standard Form

5,000 + 400 + 30 + 6

Student Response

Thursday, December 30, 2010

Expanded Form to Standard Form

700,000 + 60,000 +1,000 + 400 + 20 + 9

Student Response

Thursday, December 30, 2010

Expanded Form to Standard Form

6,000,000 + 9,000 + 400 + 30 + 8

Student Response

Thursday, December 30, 2010

Expanded Form to Standard Form

5,000,000,000 + 40,000,000 + 7,000 + 9

Student Response

Thursday, December 30, 2010

Standard Form to Word Form

37,128,465

37,128,465

Break the number into periods

Thursday, December 30, 2010

37,128,46537,128,465Read each period separately

Thirty-seven

Millionone hundred twenty-eight

thousand four hundred sixty-five

Thursday, December 30, 2010

37,128,46537,128,465Read each period separately

Thirty-seven

Thursday, December 30, 2010

37,128,46537,128,465Read each period separately

Million

Thursday, December 30, 2010

37,128,46537,128,465Read each period separately

one hundred twenty-eight

Thursday, December 30, 2010

37,128,46537,128,465Read each period separately

one hundred twenty-eight

Thursday, December 30, 2010

37,128,46537,128,465Read each period separately

thousand

Thursday, December 30, 2010

37,128,46537,128,465Read each period separately

four hundred sixty-five

Thirty-seven million, one hundred twenty-eight thousand, four hundred sixty-five

Thursday, December 30, 2010

Standard Form to Word Form

Student Response

7,234

Thursday, December 30, 2010

Standard Form to Word Form

Student Response

126,200

Thursday, December 30, 2010

Standard Form to Word Form

Student Response

12,035,102

Thursday, December 30, 2010

Standard Form to Word Form

Student Response

3,025,900,000

Thursday, December 30, 2010

Word Form to Standard Form

Three million, six hundred ninety-two thousand,five hundred twelve

Break it into parts

Thursday, December 30, 2010

Word Form to Standard Form

Three million, six hundred ninety-two thousand, five hundred twelve

Write3

Write,

Write692

Write,

Write512

Thursday, December 30, 2010

Word Form to Standard Form

Three million, six hundred ninety-two thousand, five hundred twelve

Write3

Write,

Write692

Write,

Write512

3,692,512Thursday, December 30, 2010

Word Form to Standard Form

Four million, twenty-five thousand, ten

Write4

Write,

Write025

Write,

Write010

4,025,010

Remember to fill empty places with zeros!

Thursday, December 30, 2010

Word Form to Standard Form

Forty-five thousand, one hundred twenty-five

Student Response

Thursday, December 30, 2010

Word Form to Standard Form

Five million, six hundred thirty-nine thousand, seven hundred eighty-six

Student Response

Thursday, December 30, 2010

Word Form to Standard Form

three billion, nineteen million, five hundred thousand,forty-two

Student Response

Thursday, December 30, 2010

Word Form to Standard Form

Three hundred one million, five thousand, two

Student Response

Thursday, December 30, 2010

What number is 10,000 more than 654,321?

Thursday, December 30, 2010

What number is 10,000 more than 654,321?

654,321+10,000664,321

Thursday, December 30, 2010

What number is 100,000 more than 4,234,567?

Student Response

Thursday, December 30, 2010

What number is 100,000 less than 4,234,567?

Student Response

Thursday, December 30, 2010

Mixed Practice

Thursday, December 30, 2010

Write the word form

75,379

Thursday, December 30, 2010

Write the value of the red digit

75,379

Thursday, December 30, 2010

Write the word name

6,000,214

Thursday, December 30, 2010

Write value of the red digit

6,000,214

Thursday, December 30, 2010

Write the word name

729,000

Thursday, December 30, 2010

Write the value of the red digit

729,000

Thursday, December 30, 2010

Write the word name

34,657,918

Thursday, December 30, 2010

Write the value of the red digit

34,657,918

Thursday, December 30, 2010

Write the word name

2,639,000,000

Thursday, December 30, 2010

Write the value of the red digit

2,639,000,000

Thursday, December 30, 2010

Write in expanded form

6,468

Thursday, December 30, 2010

Write in expanded form

842,931

Thursday, December 30, 2010

Write in expanded form

3,012,040

Thursday, December 30, 2010

Write in expanded form

7,975,000

Thursday, December 30, 2010

Write in expanded form

1,000,975,000

Thursday, December 30, 2010

Write in expanded form

2,003,004,005

Thursday, December 30, 2010

Write in standard form

40,000,000 + 3,000,000 + 7,000 + 60

Thursday, December 30, 2010

Write in standard form

3,000,000 + 400,000 + 6,000 + 7

Thursday, December 30, 2010

Write in standard form

1,000,000,000 + 9,000 + 300 + 40 +1

Thursday, December 30, 2010

Write in standard form

five billion, three hundred million, eleven thousand, two

Thursday, December 30, 2010

Write in standard form

three hundred fourteen million, six thousand, twenty-one

Thursday, December 30, 2010

Write in standard form

two billion, sixty-one thousand, one hundred five

Thursday, December 30, 2010

What number is 10,000 more than 234,567?

Thursday, December 30, 2010

What number is 100,000 more than 5,346,789?

Thursday, December 30, 2010

According to the 2000 Census, Hamilton County, NY had a population of 5,379.

How many people would there be if onethousand more people moved into the county?

Thursday, December 30, 2010

In 2009, the population of New York State wasestimated to be 19,541453.

If 1,000,000 people moved into New York,what would the population be?

Thursday, December 30, 2010

Review

Thursday, December 30, 2010

9,999 +1

Thursday, December 30, 2010

1,000,000 −1

Thursday, December 30, 2010

2 × 2 × 2

Thursday, December 30, 2010

2 × 2 × 2

Thursday, December 30, 2010

10 ×10 ×10

Thursday, December 30, 2010

How many inches in a foot?

Thursday, December 30, 2010

How many eggs in a dozen?

Thursday, December 30, 2010

How many months in a year?

Thursday, December 30, 2010

Stephen J O’ConnorThursday, December 30, 2010