Rules, Rules, Rules
for Scientific Notation
standard notation to scientific notation
add and subtract with scientific notation
multiply with scientific notation
dividing with scientific notation
100
why is writing numbers in scientific notation helpful?

It helps us write large and small numbers easier :) 

100

write this number in scientific notation:


47,000

4.7 x 10^4

100

solve the following equation

3.5 X 10^2 + 4.3 X 10^2

7.8 x 10^2 

100

solve the following equation: 

(2 X 10 ^3)  x   (4 x 10^4)

8 x 10^7

100

8 x 10^7

-----------

4 x 10^2

2 x 10^5

200

When you write a Large number from standard form to scientific notation you move the decimal point to which direction...

example: 2,500

you move the decimal point to the left


example: 2.5 x 10^3

200

write the following number in scientific notation: 320

3.20 x 10^2

200

solve the following equation: 

9.87 x 10^4 -- 3.64 x 10^4

6.23 

200

solve the following equation: 

(9 x 10^3) x (2 x 10^5)

18 x 10^8 = 1.8 x 10^9

300

When you add and subtract numbers in scientific notation the exponents must be...

the exponents must be the same number 

300

write the following number in scientific notation:

4523000

4.523 x 10^6

300
please solve the following equation: 


3.4 x 10^2 + 4.57 x 10^3 

4.91 x 10^3       or 

49.1 x 10^2 = 4.91 x 10^3

300

solve the following equation:

(2 x 10^-2) x (8.9 x 10^-2)

44.5 x 10^-4 = 4.45 x 10^-3

300

6.8 X 10 ^9 

----------------

2 x 10^5

3.4 x 10^4
400

When you multiply numbers in scientific notation you........ the exponents


hint: think of the law of exponents 

add 

400

write the following number in scientific notation:

0.00000032

3.2 X 10^ -7

400

here are Toyotas quarterly earnings for 2022:

quarter 1:  2.65 X 10^8

quarter 2:  1.6  x 10^8

quarter 3:  2.25 x 10 ^8

quarter 4: 6.1 x 10^6 

what is the total sum of all the quarterly earnings for google in 2022:

6.561 x 10^8 


400

(2.1 x 10^2)  x (3.2 x 10^4)

6.72 x 10^6

400

9.60 x 10^7

______________

1.60 x 10^4

6.00 x 10 ^3

500

when you divide numbers in scientific notations you......the exponents 


hint: think if the law of exponents

subtract the exponents

500

write the following number in scientific notation: 

0.94300 X 10^ -1

9.43 X 10^ -1 or 9.4300 x 10^ -1

500

the mass of earth id 5.29 x 10^24kg. The mass of Pluto is  13, 000, 000, 000, 000, 000, 000, 000 kg. compared to Pluto how much greater is Earth's mass than Pluto's mass?

hint: greater than means you "take away" to compare the answer :p

5.887 x 10^24  or 588.7 x 10^22

500

(3.42 x 10^8) x (1.1 x 10^-5)

3.762 x 10^3

500

1.943 x 10^8 

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2.9 x 10^6

6.7 x 10 ^1

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