Name (s) Class Date SCIENTIFIC NOTATIONbrightenbrown.weebly.com › uploads › 8 › 4 › 4 › 3 › 8443179 › 9... · Name (s) ___ Class_ Date___ ©Exceeding the CORE

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©Exceeding the CORE Question # 0

PROBLEM SOLVING

GRAPHIC ORGANIZER

SCIENTIFIC

NOTATION

Scientific Notation

Multiplication & Division with

Scientific Notation

Addition & Subtractions with

Scientific Notation

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SCIENTIFIC NOTATION

READ & UNDERSTAND (Highlight or circle

important keywords.)

Savemore National Bank starts the day with 2.81 × 104 dollars in the vault. At the end of the day, the bank has 3.5 × 105 dollars in the vault. How much more money is in the vault at the end of the day than there was in the morning?

What do we know? (List the important facts

needed for this problem to be solved.) _________________________________________________________________________________________________________ ___________________________________ What do we want to find out? (Explain in

your own words.) _________________________________________________________________________________________________________ ___________________________________

SOLVE (Answer the problem. Show all work.)

EXPLAIN (State your answer. Give details. Explain what you did and justify your steps.)

________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________

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SCIENTIFIC NOTATION



The table shows the amount of money raised by each region for a charity organization. How much money did the East and West raise together? Region Amount Raised ($)

West 2.38 × 104 South 1.46 × 104

East 6.75 × 103 North 8.65 × 103



your own words.) _________________________________________________________________________________________________________ ___________________________________


EXPLAIN (State your answer. Give details. Explain what you did and justify your steps.) ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________

Name (s) __________________________________ Class__________ Date_________________________


SCIENTIFIC NOTATION



In 1997, 𝟕. 𝟐𝟑𝟎𝟏 × 𝟏𝟎𝟒 people attended the Super Bowl. In 1978,

𝟕. 𝟓𝟓𝟖𝟑 × 𝟏𝟎𝟒 people attended the Super Bowl. How many times greater was the attendance in 1978 than in 1997?



your own words.) _________________________________________________________________________________________________________ ___________________________________



Name (s) __________________________________ Class__________ Date_________________________


SCIENTIFIC NOTATION



Leah takes 𝟐. 𝟑 × 𝟏𝟎𝟒 steps during a long-distance run. Each step covers an average of 780 mm. What total distance did Leah cover during her run? Write your answer in scientific notation.



your own words.) _________________________________________________________________________________________________________ ___________________________________



Name (s) __________________________________ Class__________ Date_________________________


SCIENTIFIC NOTATION



A monster truck stands 15 feet 5 inches tall and weighs 31,000 pounds. Each tire is 10 feet tall and

weighs 𝟐. 𝟗 × 𝟏𝟎𝟑 pounds. Write the weight of the truck in scientific notation. Write the weight of one tire in standard form.



your own words.) _________________________________________________________________________________________________________ ___________________________________



Name (s) __________________________________ Class__________ Date_________________________


SCIENTIFIC NOTATION



Cellar phone company A has 86,000,000 customers and cellular phone company B has 83,200,000 customers. How many more customers does cellular phone company A have than cellular phone company B? Express your answer in standard from and scientific notation.



your own words.) _________________________________________________________________________________________________________ ___________________________________



Name (s) __________________________________ Class__________ Date_________________________


SCIENTIFIC NOTATION



Write the estimated weight of each dinosaur in scientific notation.

Estimated Weight

Name Pounds

Argentinosaurus 220,000

Brachiosaurus 100,000

Camarasaurus 40,000



your own words.) _________________________________________________________________________________________________________ ___________________________________



Name (s) __________________________________ Class__________ Date_________________________


SCIENTIFIC NOTATION



A small bat can eat up to 1,000 mosquitos in an hour. How many mosquitos can a small bat eat in 20.4 hours? Express your answer in scientific notation.



your own words.) _________________________________________________________________________________________________________ ___________________________________



Name (s) __________________________________ Class__________ Date_________________________


SCIENTIFIC NOTATION



The table shows the length of the radii of several very small and very large items. List the items in order from the smallest to the largest. Item Radius (meters) The Moon 1.74 × 106 Atlantic Wolfish Egg 2.8 × 10−3 Jupiter 7.149 × 107 Atom of Aluminum 1.82 × 10−10



your own words.) _________________________________________________________________________________________________________ ___________________________________



Name (s) __________________________________ Class__________ Date_________________________


SCIENTIFIC NOTATION



Australia’s population is approximately 2.15 × 107 . The area of Australia is 2.95 × 106 square miles. What is the approximate average number of people per square mile in Australia?



your own words.) _________________________________________________________________________________________________________ ___________________________________



Name (s) __________________________________ Class__________ Date_________________________


SCIENTIFIC NOTATION PROBLEM SOLVING Answer Key Answer Sample Work

1. Savemore National Bank has 3.219 ×

105 more dollars at the end of the day

than in the morning.

2.81 × 104 = 0.281 × 105 (3.5 × 105 ) − (0.281 × 105) = 3.219 × 105

2. The East and West region raised

3.055 × 104 𝑑𝑜𝑙𝑙𝑎𝑟𝑠.

East 6.75 × 103 West 2.38 × 104 6.75 × 103 0.675 × 104 (0.675 × 104) + (2.38 × 104) = 3.055 × 104

3. The number of people that attended the

Super Bowl in 1978 was 1.05 times

greater than the attendance in 1997.

7.5583×104

7.2301×104≈ 1.05 × 100

4. Leah ran 1.794 × 107 mm.

(2.3 × 104)(7.8 × 102 ) = 17.94 × 106 = 1.794 × 107

5. The truck weighs 3.1 × 104 pounds in scientific notation and the weight of one tire is 2,900 pounds.

31,000 = 3.1 × 104 𝑙𝑏 2.9 × 103 =2,900 lb

6. Cellular phone company A has 2,8000,000

or 2.8 × 106 more customers than

cellular phone company B.

86,000,000 - 83,200,000 = 2,8000,000 2,8000,000 = 2.8 × 106

7. The estimated weight of a Argentinosaurus is 2.2 × 105 pounds. The estimated weight of a Brachiosaurus is 1 × 105 pounds. The estimated weight of a Camarasaurus is 4 × 104 pounds.

220,000=2.2 × 105 100,000 = 1 × 105 40,000= is 4 × 104

8. A small bat can eat up to 2.04 × 101 mosquitos in 20.4 hours.

1,0001 × 103 20.4 2.04 × 101 (1 × 103)( 2.04 × 101) = 2.04 × 104

9. Based on the length of their radius, the

items listed in order from smallest to

largest are the Atom of aluminum,

Atlantic wolfish egg, the Moon, Jupiter.

1.82 × 10−10 < 2.8 × 10−3 < 1.74 × 106 < 7.149 × 107

10. There are about 7 people per square mile

in Austrailia.

2.15×107

2.95×106≈ 0.7288 × 101 ≈ 7.288 ≈ 7

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Name (s) Class Date SCIENTIFIC NOTATIONbrightenbrown.weebly.com › uploads › 8 › 4 › 4 › 3 › 8443179 › 9... · Name (s) _____ Class_____ Date_____ ©Exceeding the CORE

Name (s) Class Date SCIENTIFIC NOTATIONbrightenbrown.weebly.com › uploads › 8 › 4 › 4 › 3 › 8443179 › 9... · Name (s) ___ Class_ Date___ ©Exceeding the CORE