Question

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Each year, the United States' federal costs exceed the anticipated national budget. In fact the last time that the United States government was able to end a fiscal year without accruing more debt was in 1960. This means that due to excessive spending and compounding interest accrued, the United States' national debt has escalated astronomically over the past several decades. The table shown below lists the recorded U.S. national debt amounts, written in standard form, for each decade, from 1960 to the year 2010.


Year U.S. national debt (in U.S. dollars)

1960 $286,330,760,848.37

1970 $370,918,706,949.93

1980 $907,701,000,000.00

1990 $3,233,313,451,777.25

2000 $5,674,178,209,886.86

2010 $13,561,623,030,891.79

For each decade, convert the U.S. national debt amount to a number in scientific notation, rounded to the nearest hundred millions dollars. Enter in numerical answers only.


Year U.S. national debt (in U.S. dollars)

written in standard form U.S. national debt (in U.S. dollars)

written in scientific notation

1960 $286,330,760,848.37 $2.863 ∙ 10

1970 $370,918,706,949.93 $3.709 ∙ 10

1980 $907,701,000,000.00 $9.077 ∙ 10

1990 $3,233,313,451,777.25 $3.2333 ∙ 10

2000 $5,674,178,209,886.86 $5.6742 ∙ 10

2010 $13,561,623,030,891.79 $1.35616 ∙ 10

Answer 1

Answer:

Given the US National Debt,

1960 $286,330,760,848.37

1970 $370,918,706,949.93

1980 $907,701,000,000.00

1990 $3,233,313,451,777.25

2000 $5,674,178,209,886.86

2010 $13,561,623,030,891.79

Then, rounding off these numbers to nearest hundred million,

1960 $286,000,000,000.00

1970 $370,900,000,000.00

1980 $907,700,000,000.00

1990 $3,233,300,000,000.00

2000 $5,674,200,000,000.00

2010 $13,561,600,000,000.00

While representing a number in scientific notation, it is written as a number between 1 and 10 and then multiplied by a power of 10.

The debt amount becomes,

1960 $2.86×10¹¹

1970 $3.709×10¹¹

1980 $9.077×10¹¹

1990 $3.2333×10¹²

2000 $5.6742×10¹²

2010 $1.35616×10¹³

Explanation:

Answer 2

Given the US National Debt,

1960 $286,330,760,848.37

1970 $370,918,706,949.93

1980 $907,701,000,000.00

1990 $3,233,313,451,777.25

2000 $5,674,178,209,886.86

2010 $13,561,623,030,891.79

Then, rounding off these numbers to nearest hundred million,

1960 $286,000,000,000.00

1970 $370,900,000,000.00

1980 $907,700,000,000.00

1990 $3,233,300,000,000.00

2000 $5,674,200,000,000.00

2010 $13,561,600,000,000.00

While representing a number in scientific notation, it is written as a number between 1 and 10 and then multiplied by a power of 10.

The debt amount becomes,

1960 $2.86×10¹¹

1970 $3.709×10¹¹

1980 $9.077×10¹¹

1990 $3.2333×10¹²

2000 $5.6742×10¹²

2010 $1.35616×10¹³

Explanation: