Objectives: • Scientific Notation What do I know about…scientific notation What do I now know… I. What do I think is …the reason why we use scientific notation What.

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Transcript Objectives: • Scientific Notation What do I know about…scientific notation What do I now know… I. What do I think is …the reason why we use scientific notation What.

Slide 1

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 2

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 3

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 4

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 5

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 6

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 7

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 8

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 9

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 10

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 11

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 12

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 13

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 14

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 15

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 16

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 17

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387


Slide 18

Objectives:
• Scientific Notation

What do I know
about…scientific notation

What do I now know…

I.

What do I think is …the
reason why we use scientific
notation

What do I now think is…

Unit 1 – What is Science?
C. Experimental Data
2. Presenting Scientific Data

A shortcut used to
report numbers that
are really small or
really large. Makes it
easier to enter into
calculators and
calculate.

602000000000000000000000

6.02 x 1023

$25.00

$25,000.00

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

6.02 x 1023

6.02 x 1023

Coefficient

Exponent

•The exponent
•Should
always is
have
thethe
number
decimal
of
after theplaces
decimal
first non-zero
the decimal
number
moved.
•Should never include trailing
zeros or leading zeros

Which numbers are written in scientific notation?

.000057

2.45 x 1045

2.45 x 10-7

1250000000000

Let’s try it on the white boards.

6.02
6.02 x 1023

EE 23

(9.45 x 1034) (2.58 x 1042)

Multiply Coefficients

Add the exponents

(9.45 x 1034) /(2.58 x 1042)

Divide Coefficients

Subtract the
exponents

Convert the following numbers into scientific notation
(round to the 2nd decimal place)
4569.64
0.0000387