Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ………...

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Metric System

Transcript of Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ………...

Page 1: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Metric System

Page 2: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Question: How much is a ‘kilodollar’ worth and how do you know?

Answer: … … …

Question of the Day

Page 3: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The Dollar Bill as the Standard Unit

Page 4: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Multiply by 10 and you get a…

dekadollar

Page 5: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Multiply the dollar by 100 and get…

hectodollar

Page 6: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Multiply the dollar by one thousand and you get…

kilodollar

Page 7: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Multiply the dollar by 1 million and you get…

megadollar

Page 8: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Let’s go the other way.We start off with the dollar

again….

Page 9: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Now divide by 10…

Decidollar

Page 10: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Divide the dollar by 100 and you get a…

centidollar

Page 11: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

If you were to go further and divide that dollar by 1000, you

would get a…

millidollar

Page 12: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Scientific Notation

It makes using very large and very small numbers easier!

Page 13: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

A number in Scientific Notation has two parts

Page 14: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

A number in Scientific Notation has two parts

9.9 x 106

Page 15: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

A number in Scientific Notation has two parts

9.9 x 106

Number between 1 and 10(not including 10)

Page 16: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

A number in Scientific Notation has two parts

9.9 x 106

Number between 1 and 10(not including 10)

Exponent

Page 17: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The distance to the Sun is 149,597,870,700. metersHow do we write that in Scientific Notation?

Page 18: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The distance to the Sun is 149,597,870,700. metersHow do we write that in Scientific Notation?

149597870700.

Write the number down leaving out commas but show the decimal point

Page 19: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The distance to the Sun is 149,597,870,700. meters

149597870700.

Write the number down leaving out commas but show the decimal point

Move the decimal point until there is one digit to the left of it, counting the spaces as you go

Page 20: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The distance to the Sun is 149,597,870,700. meters

149597870700.

Write the number down leaving out commas but show the decimal point

Move the decimal point until there is one digit to the left of it, counting the spaces as you go

Page 21: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The distance to the Sun is 149,597,870,700. meters

149597870700.

Write the number down leaving out commas but show the decimal point

Move the decimal point until there is one digit to the left of it, counting the spaces as you go

11 spaces

Page 22: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The distance to the Sun is 149,597,870,700. meters

1.495978707 x 1011 m

# of spaces = the exponent

11 spaces to the left

Move the decimal point until there is one digit to the left of it, counting the spaces as you go

Page 23: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The diameter of a Carbon nucleus is0.000000000182 meters

How do we write that in Scientific Notation?

0.00000000018210 spaces

Page 24: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The diameter of a Carbon nucleus is0.000000000182 meters

How do we write that in Scientific Notation?

0.00000000018210 spaces

if you move to the right, put a minus sign in front of the exponent

Page 25: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

The diameter of a Carbon nucleus is0.000000000182 meters

1.82 x 10-10 m

if you move the decimal to the right, put a minus sign in front of the exponent

10 spaces to the right

Page 26: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Converting from Scientific Notation to Standard

1.495978707 x 1011 m

move the decimal point to the right for a positive exponent to the left for a negative exponent

Page 27: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Converting from Scientific Notation to Standard

149597870700. m

Page 28: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Converting from Scientific Notation to Standard

1.49597870700. m

1.82 x 10-10 m

Page 29: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

To convert from Scientific Notation back to Standard, just move the decimal point back, moving to the right for a positive power of 10, to the left for a negative power of 10

149597870700. m

0.000000000182 m

Page 30: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Let’s Do Some Examples

17 78,942

Write the Following in Scientific Notation

0.0042

Page 31: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Let’s Do Some Examples

17 78,942

Write the Following in Scientific Notation

0.0042

1.7 x 101

Page 32: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Let’s Do Some Examples

17 78,942

Write the Following in Scientific Notation

0.0042

1.7 x 101

7.8942 x 104

Page 33: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Let’s Do Some Examples

17 78,942

Write the Following in Scientific Notation

0.0042

1.7 x 101

7.8942 x 104

4.2 x 10-3

Page 34: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Let’s Do Some Examples

1.7 x 104

Write the Following in Standard (or Long) Form

1.7 x 10-4

Page 35: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Let’s Do Some Examples

1.7 x 104

Write the Following in Standard (or Long) Form

1.7 x 10-4

17000

Page 36: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Let’s Do Some Examples

1.7 x 104

Write the Following in Standard (or Long) Form

1.7 x 10-4

17000 0.00017

Page 37: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Multiplying and Dividing numbers in Scientific Notation is Easier

Page 38: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Multiplying and Dividing numbers in Scientific Notation is Easier

To multiply, just multiply the numbers together, then add the exponents

(1.7 x 104) x (2.0 x 108)

= (1.7 x 2.0) x (10(4+8))

= 3.4 x 1012

Page 39: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.

Multiplying and Dividing numbers in Scientific Notation is Easier

To divide, just divide the numbers then subtract the exponents

(1.0 x 106) ÷ (2.0 x 101)

= (1.0 ÷ 2.0) x (10(6-1))

= 0.5 x 105 = 5.0 x 104

Page 40: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.
Page 41: Metric System. Question: How much is a ‘kilodollar’ worth and how do you know? Answer: ……… Question of the Day.