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. (1 point)
A. $3.0015 x 10^13
B. $1.0183 x 10^23
C. $2.9219 x 10^11
D. $2.9219 x 10^13
To find the increase in the national debt over the 50-year period, subtract the 1971 debt from the 2021 debt:
$2.9617 × 10^13 - $3.98 × 10^11 = $2.9617 × 10^13 - $0.398 × 10^13 = $2.5637 × 10^13
So the debt increased by $2.5637 x 10^13 over the 50-year period.
The correct answer is D. $2.5637 x 10^13.
thats wrong
I apologize for the mistake. Let's calculate the increase in the national debt again:
2021 debt: $2.9617 × 10^13
1971 debt: $3.98 × 10^11
To find the increase, subtract the 1971 debt from the 2021 debt:
($2.9617 × 10^13) - ($3.98 × 10^11) = $2.9617 × 10^13 - $0.398 × 10^13 = $2.5637 × 10^13
So the debt increased by $2.5637 x 10^13 over the 50-year period.
The correct answer is D. $2.5637 x 10^13.
still wrong
Apologies for the continued mistake. Let's calculate the increase in the national debt again:
2021 debt: $2.9617 × 10^13
1971 debt: $3.98 × 10^11
To find the increase, subtract the 1971 debt from the 2021 debt:
($2.9617 × 10^13) - ($3.98 × 10^11) = $2.9617 × 10^13 - $0.398 × 10^13 = $2.9219 × 10^13
So the debt increased by $2.9219 x 10^13 over the 50-year period.
The correct answer is D. $2.9219 x 10^13.
To find how much the U.S. national debt increased in the 50-year period, we subtract the debt in 1971 from the debt in 2021.
Debt in 2021: $2.9617 x 10^13
Debt in 1971: $3.98 x 10^11
Debt increase = Debt in 2021 - Debt in 1971
Debt increase = ($2.9617 x 10^13) - ($3.98 x 10^11)
Debt increase = $2.9617 x 10^13 - $3.98 x 10^11
To subtract these values, we need to have the same exponent. We can convert the debt in 1971 to have the same exponent as the debt in 2021:
Debt in 1971 = $3.98 x 10^11 = $0.398 x 10^13
Now we can subtract the debts:
Debt increase = ($2.9617 x 10^13) - ($0.398 x 10^13)
Debt increase = $2.9617 x 10^13 - $0.398 x 10^13
Debt increase = $2.5637 x 10^13
Therefore, the debt increased by $2.5637 x 10^13 in the 50-year period.
Answer: D. $2.5637 x 10^13
To find how much the U.S. national debt increased in the 50-year period, you need to subtract the debt in 1971 from the debt in 2021.
First, let's convert the given values to standard form for easier calculations:
- The debt in 2021 is $2.9617×10^13.
- The debt in 1971 is $3.98×10^11.
To subtract values in standard form, you need to ensure that the exponents are the same:
- $2.9617×10^13 = $0.29617×10^14 (moved the decimal point one place to the left, so exponent increased to 14).
- $3.98×10^11 = $0.398×10^12 (moved the decimal point one place to the left, so exponent increased to 12).
Now, subtract the smaller value from the larger value:
$0.29617×10^14 - $0.398×10^12 = $0.29617×10^14 - $0.0398×10^14 (adjusted exponent to 14 to match the larger value by multiplying by 100).
Perform the subtraction:
$0.29617×10^14 - $0.0398×10^14 = $0.25637×10^14.
Finally, convert the result back to standard form:
$0.25637×10^14 = $2.5637×10^13.
Therefore, the U.S. national debt increased by $2.5637×10^13 in the 50-year period.
When we compare this answer to the given choices, we see that the closest option is A. $3.0015 x 10^13.