SCIENTIFIC NOTATION: PROBLEM SOLVING

Lesson Four and Five

WARM UP

1. Simplify:

2. The speed of light in space is 3 x km/s. It takes light 5 x 10² seconds to travel from the sun to the earth. How far away is the sun in km? 3.

4. -3(

5.

(3y)(-5)

In 2001, the population of the world was about 6,160,000,000. The projected population of the world for the year 2025 is about 7,840,000,000. Write these number in scientific notation.

The following diameters are shown for different types of cells. Order these from greatest to least. Cell Type Diameter

Fungi 4.6 x 10-5

Bacteria 2.5 x 10-3

Cat 5.2 x 10-4

Human 4.9 x 10-3

In 2006, Blue Ridge Parkway was visited by about 1.9 x 107 people. That same year, Great Smoky Mountains National Park was visited by about 9.3 x 106 people. How many more people visited Blue Ridge Parkway than Great Smoky Mountains National Park in 2006?

One cell has a diameter of 4.5 x 10-6. If there are 20 cells growing in a lab, what is their combined diameters?

Great Lake Superior covers an area of 3.17 x 104 square miles. The smallest great lake, Ontario, covers an area of 7.34 x 103 square miles. About how many times as great is the area covered by Lake Superior than Lake Ontario?

A space probe that is 2.85 x miles away from Earth sends radio signals to NASA. If the radio signals travel at the speed of light (1.86 x miles per second), how long does it take the signals to reach NASA?

A type of pollen, A, has a diameter of 1.5 x meters. A different type of pollen, B, has a diameter of 2 x meters. Which type of pollen is larger? How do you know?

The world population is about 7 billion. There are 4.6 x ants for every human on the planet. About how many ants are there in the world?

A liter of water contains 5.45 x molecules. The Orange River discharges about 1.9 x liters of water every second. About how many molecules does the Orange River discharge every minute?

HOMEWORK

1.Complete the problem solving worksheet. Show all your work.

2.Finish the word problem worksheet that you started in class. Show all your work.

WARM UP

1.

2. A rectangle has a length of 3 and a width of 6. What is the expression for the area of the rectangle?

3.

4.

•A problem will come up on the board.

• Individually, each of you will have 35 seconds to read the problem and determine what operation will be necessary to solve.

•After the 35 seconds is up, you will have 1 minute to determine the answer to the problem with your group.

•One group member will write the answer on the group whiteboard to be checked.

• The group with the most points will win a prize!

The following incomes are recorded for music artists in 2010.

How much more money did Jay-Z make over Yo Gotti?

Artist 2010 Income

Jay-Z 2.56 x 107

Yo Gotti 5.1 x 106

The largest planet in our solar system is Jupiter with a diameter of about 1.43 x 105 kilometers. The smallest planet in our solar system is Mercury with a diameter of about 4.9 x 103 kilometers. About how many times greater is the diameter of Jupiter than the diameter of Mercury?

About 8.73 x 108 people in the world speak Chinese. About 3.22 x 108 speak Spanish. In scientific notation, how many more people speak Chinese than Spanish?

The average distance from Earth to the Sun is 1.46 x 108 kilometers. The average distance from Earth to the Moon is 3.84 x 105 kilometers. About many more times as great is the distance from Earth to the Sun than to the Moon?

The table below shows the approximate tons of cars exported from Germany to the US over time. Order the amount of cars over the years from least to greatest.

Year Tons of Cars

2007 7.2 x 105

2008 8.31 x 106

2009 5.9 x 107

2010 3.76 x 106

A certain social media company processes about 990 billion “likes” per year. If the company has approximately (8.9 x ) users of the social media, about how many “likes” is each user responsible for per year?

In 2010, the USA had 2.31 x105 iPhone users. That same year, Europe had 1.49 x 104 iPhone users. How many iPhone users did the USA and Europe have combined?

The table below shows the thickness in inches for the following types of paper. List the paper types in order from the least thick to most thick.

Paper Type Thickness

Cardstock 3.348 x 10-2

Printer paper 1.898 x 10-3

Construction paper 3.684 x 10-3

Poster paper 1.024 x 10-2

In 2010, America generated 2.5 x tons of garbage. Some of it was recycled and composted, while the rest was sent to landfills. There are about 2,000 landfills in the USA. Assuming that each landfill is the same size and that trash is divided equally among them, determine how many tons of garbage were sent to each landfill in 2010.

The speed of light is 300,000,000 meters per second. The sun is approximately 1.5 x meters from Earth. How many seconds does it take for sunlight to reach earth?

As of March 23, 2013, the USA national debt was $16,755,133,009,522 (round this number to the nearest trillion). According to the 2012 census, there are 313,914,040 (round this number to the nearest million) American citizens. What is each citizen’s approximate share of the debt?

HOMEWORKThis weekend you need to spend time reviewing for your unit test on Tuesday. Go over your notes and the modeled examples. Learn your laws and principals.

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