Step 3

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Write down everything you or your partner know about scientific notation.

SWBAT express numbers in scientific notation.

SWBAT find products and quotients of numbers expressed in scientific notation.

CCRS: 8

Step 1

• Move the decimal point until it is to the right of the first nonzero digit. The result is a real number a.

Step 2

•Note the number of places n and the direction that you moved the decimal point.

Step 3:

•If the decimal point is moved left, write the number as

• a x 10 n .

•If the decimal point is moved right, write the number as

• a x 10 -n

Step 4 •Remove the unnecessary zeros

a)

201,000,000

Step 1:

Step 2:

Step 3:

Step 4: b) 0.000051

Step 1:

Step 2:

Step 3:

Step 4:

a)

68,700,000,000 b)

0.0000725

Step 1:

•In a x 10 n , note whether n > 0 or n < 0.

Step 2:

•If n > 0, move the decimal n places right.

•If n < 0, move the decimal n places left.

Step 3:

• Insert zeros, decimal point, and commas as needed for place value

 a)

Express each number in standard form:

6.32 x 10 9

Step 1:

Step 2:

Step 3: b) 4 x 10 -7

Step 1:

Step 2:

Step 3:

a)

3.201 x 10 6 b)

9.03 x 10 -5

Evaluate (3.5 x 10 -3 )(7 x 10 5 ). Express the result in both scientific notation and standard form.

(3.5 x 10 -3 )(7 x 10 5 )

A)

(6.5 x 10 12 )(7.8 x 10 -15 )

B)

(7.8 x 10 -4 ) 2

scientific notation and standard form.

a)

Evaluate: 2.3958 x 10 3

1.98 x 10 8 b)

Evaluate: 1.305 x 10 3

1.45 x 10 -4

a)

Express the # of copies in scientific notation.

b)

Write each number in scientific notation.

c)

How many copies have been sold it the CD has gone platinum 13 times? Write you answers in scientific notation.

A)

Write the # in standard form:

B)

Write the number in scientific notation.

C)

If the following year the company earned

2.5 times the amount earned the previous year, determine the amount earned. Write your answer in scientific notation and standard form.

List:

3- steps for writing scientific notation in standard form

4- steps for writing standard form in scientific notation.

HOMEWORK: pg. 417 (20-54 evens; 76-79)

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