The U.S. national debt was $2.9617×1013 in 2021 and $3.98×1011 in 1971. Find how much the debt increased in the 50-year period. (1 point)

Question

Responses

$2.9219×1011
2.9219 dollars times 10 superscript 11 baseline

$3.0015×1013
3.0015 dollars times 10 superscript 13 baseline

$1.0183×1024
1.0183 dollars times 10 superscript 24 baseline

$2.9219×1013

Answer 1

To find the increase in the U.S. national debt from 1971 to 2021, we need to subtract the debt in 1971 from the debt in 2021.

Given:

• Debt in 2021 = \( 2.9617 \times 10^{13} \)
• Debt in 1971 = \( 3.98 \times 10^{11} \)

First, we need to express both debts in the same format. For this, we can convert the 1971 debt to the same power of ten:

\[ 3.98 \times 10^{11} = 0.0398 \times 10^{13} \]

Now we can subtract the two debts:

\[ \text{Increase in debt} = (2.9617 \times 10^{13}) - (0.0398 \times 10^{13}) \] \[ = (2.9617 - 0.0398) \times 10^{13} \] \[ = 2.9219 \times 10^{13} \]

Thus, the increase in the U.S. national debt over the 50-year period is

\[ \boxed{2.9219 \times 10^{13}} \]

Answer 2

connections academy: subtract numbers in scientific notation

1. 4.5866
2. 2.9219 x 10^13
3. 3.2 x 10^-11
4. a red blood cell has a bigger diameter than a platelet by 5.17 x 10^-6
5. 5 x 10^7