The U.S. national debt was $2.9617×10^13 in 2021 and $3.98×10^11 in 1971. Find how much the debt increased in the 50- year period.

To find the increase in the national debt over the 50-year period, we subtract the debt in 1971 from the debt in 2021.

Debt increase = Debt in 2021 - Debt in 1971
Debt increase = ($2.9617×10^13) - ($3.98×10^11)

To subtract two numbers in scientific notation, we must ensure that the exponents are the same.
Therefore, we can rewrite the equation as follows:

Debt increase = ($2.9617×10^13) - ($0.398×10^13)

Now, we can subtract the numbers:

Debt increase = $2.9617×10^13 - $0.398×10^13
Debt increase = $2.9617×10^13 - $0.0398×10^15

Next, we can simplify the equation by subtracting the numbers:

Debt increase = $2.9219×10^13

Therefore, the debt increased by $2.9219×10^13 over the 50-year period.

To find the increase in the U.S. national debt over the 50-year period from 1971 to 2021, we need to calculate the difference between the debt in 2021 and the debt in 1971.

Debt in 2021: $2.9617 × 10^13
Debt in 1971: $3.98 × 10^11

To calculate the increase, we subtract the debt in 1971 from the debt in 2021:

Increase = Debt in 2021 - Debt in 1971
Increase = ($2.9617 × 10^13) - ($3.98 × 10^11)

To subtract the debt, we need to align the exponents:

Increase = (2.9617 × 10^13) - (0.398 × 10^13)

Next, we subtract the values:

Increase = 2.9617 × 10^13 - 0.398 × 10^13
Increase = 2.5637 × 10^13

Therefore, the U.S. national debt increased by approximately $2.5637 × 10^13 (or $25.637 trillion) over the 50-year period.

To find how much the U.S. national debt increased in the 50-year period between 1971 and 2021, you subtract the debt in 1971 from the debt in 2021.

Debt in 2021: $2.9617×10^13
Debt in 1971: $3.98×10^11

To subtract the two values, we need to make sure they are in the same format:

$2.9617×10^13 = $296.17×10^11
$3.98×10^11 = $0.398×10^13

Now we can subtract them:

$296.17×10^11 - $0.398×10^13

To subtract the numbers in scientific notation, we need to have the same exponent. In this case, we can multiply one of the numbers by 10 to match the exponent with the other number:

$296.17×10^11 - $3.98×(10^11 × 10^2)

Simplifying:

$296.17×10^11 - $3.98×10^13

Now, we subtract the values:

$296.17×10^11 - $3.98×10^13 = $296.17×10^11 - $398×10^11

Finally, we can subtract the two amounts:

$296.17×10^11 - $398×10^11 = $(296.17 - 398)×10^11

Calculating the numerical value:

$(-101.83)×10^11

Therefore, the U.S. national debt increased by $1.0183×10^13 (or $10,183 billion) in the 50-year period from 1971 to 2021.