Whether relenten the vastness the the stars or the microscope intricacies that the humanbody, the need to use large numbers is frequently inevitable.When we consider the estimated 200,000,000,000 (200billion) stars in the Milky way Galaxy or the estimated150,000,000,000 (150 billion) galaxies in the universeor the approximated 100,000,000,000,000 (100 trillion)cells in the adult human body, we are compelled to usenumbers so big we cannot comprehend their meaning.Let’s shot to usage our imaginations come placesome of these huge numbers in perspective. (In sodoing, us will use the American nomenclature forlarge numbers defined below.)

We will use money as a teaching toolto highlight the size of large numbers. Whetheryou stack it, spread it, heat it up, or spend it,we hope you’ll think that money and huge numbersin a new means after you check out this section.

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## Money Stacks

One method to far better understand largenumbers is to compare the heights of stacks that varyingnumbers of dollar bills. The thickness that a singleone disagreement bills actions .0043 inch or .0000000679miles.

The height of a ridge of 100 one dollarbills measures .43 inches.

The elevation of a stack of 1,000 onedollar bills steps 4.3 inches.

The height of a ridge of 1,000,000one dissension bills steps 4,300 customs or 358 feet – aboutthe height of a 30 come 35 story building.

The height of a stack of 100,000,000(one hundred million) one disagreement bills measures 35,851feet or 6.79 miles. This would certainly reach from the earth’ssurface to the almost right altitude in ~ which commercialjetliners fly.

The height of a stack of 1,000,000,000(one billion) one dissension bills steps 358,510 feetor 67.9 miles. This would certainly reach

indigenous earth’s surface right into the lower portionof the troposphere – one of the major outerlayers the earth’s atmosphere.

The height of a stack of 100,000,000,000(one hundred billion) one disagreement bills measures 6,786.6miles. A shaft of bills this high would expand 28times higher than the orbiting international SpaceStation.The height of a stack of 1,000,000,000,000 (one trillion)one disagreement bills steps 67,866 miles. This wouldreach much more than one 4th the method from the earthto the moon.

The elevation of a ridge of 100,000,000,000,000(one hundred trillion) one dollar receipt measures6,786,616 miles. This would certainly reach from the earthto the moon and ago 14 times.

## Money Carpets

Another way to appreciate big numbersis to take into consideration the area extended by differing numbersof dissension bills. The area covered by a solitary onedollar bill measures 16.0254 square inches.

Thearea spanned by 100 one dissension bills procedures 11.13square feet.

The area covered by 1,000 one dollarbills actions 111.29 square feet.

The area extended by 1,000,000 one dollarbills procedures 111,287.5 square feet. This wouldcover an area roughly equal come the size oftwo soccer fields.

The area covered by 100,000,000 (onehundred million) one disagreement bills procedures .4 squaremiles. This would certainly cover one area same to the sizeof 255.5 acres.

The area spanned by 1,000,000,000 (onebillion) one dollar bills measures 4 square miles.This would cover one area equal to the size of 2,555acres.

The area spanned by 100,000,000,000(one hundreds billion) one dollar bills measures 400square miles. This would cover an area equal to one-third the size of the state that Rhode Island.

The area covered by 1,000,000,000,000(one trillion) one dissension bills measures 3,992 squaremiles. This would certainly cover one area same to twice thesize the the state that Delaware.

The area covered by 100,000,000,000,000(one hundreds trillion) one dollar bills measures399,189 square miles. This would cover an area roughlyequal come the size of Texas and California combined.

## Money Lines

however another way to know largenumbers is to to compare the lengths of differing numbersof dollar receipt laid end-to-end. The size of asingle one dissension bills procedures 6.14 inches.

The size of 100 one dissension billslaid end-to-end actions 614 customs or 51.17 feet.

The length of 1,000 one disagreement billslaid end-to-end steps 512 feet. This would certainly approximatethe size of few of the longer house run balls hitby experienced baseball players. (The human being recordfor the longest residence run, approximated at 643 feet, wasset in 1961 by Mickey Mantle.)

The length of 1,000,000 (one million)one dollar bills laid end-to-end extend 96.9 miles.This would easily traverse the 21 miles across theEnglish Channel indigenous the shores of England to theshores of France and also back more than two and also a halftimes.

The length of 100,000,000 (one hundredmillion) one dollar bills laid end-to-end measures9,690 miles. This would reach

fromWashington D.C., USA come Sydney, Australia.

The size of 1,000,000,000 (one billion)one dollar bills laid end-to-end procedures 96,900miles. This would certainly extend roughly the planet almost4 times.

The size of 100,000,000,000 (onehundred billion) one dollar bills laid end-to-endmeasures 9,690,656 miles. This would expand aroundthe planet 387 times.

The size of 1,000,000,000,000 (onetrillion) one dollar bills laid end-to-end measures96,906,656 miles. This would exceed the distancefrom the planet to the sun.

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The size of 100,000,000,000,000 (onehundred trillion) one dollar receipt laid end-to-endmeasures 9,690,656,566 miles. This would reach fromthe planet to the earth Saturn and back six times.(Assuming Saturn in ~ its nearest suggest to earth)

## Money invested - Shop ‘til you Drop

Finally,let’s shot to help those who love malls to understandlarge numbers by imagining the shopping spree ofa lifetime beginning with varying amounts of money.Let’s speak a shopper have to spend \$20 per secondand should do so 24 hrs per day until penniless. (As you check out the table below, this exercise willquickly give the expression “shop ‘tilyou drop” a whole new meaning.)

For example, a shopper start with\$100 might shop because that a mere 5 seconds. A shopperbeginning v \$1,000 could shop for 50 seconds.

### Duration of purchase SpreesWhile safety \$20 every Second

beginning Amount (Dollars) term of shopping Spree
1 1 2nd
100 5 secs
1,000 50 seconds
10,000 8 minute 20 seconds
100,000 1 hour 23 minutes
1,000,000 13 hours 48 minutes
10,000,000 138 hrs (5 job 19 hours)
100,000,000 57 job 21 hrs
1,000,000,000 578 work (1 year 214 days)
1,000,000,000,000 1,585 years
100,000,000,000,000 1,585 centuries