The U.S. national debt was $2.9617 x 10^13 in 2021 and $3.98 x 10^11 in 1971. Find how much the debt increased in the 50-year period.
a $1.0183 x 10^24
b $2.9219 x 10^13
c $2.9219 x 10^11
d $3.0015 x 10^13
To find the increase in the debt over the 50-year period, we can subtract the debt in 1971 from the debt in 2021.
2021 debt - 1971 debt = (2.9617 x 10^13) - (3.98 x 10^11)
= 2.9617 x 10^13 - 3.98 x 10^11
= 2.9617 x 10^13 - 2.9617 x 10^12 (subtracting in scientific notation)
Now we can combine the terms with the same power of 10:
2.9617 x 10^13 - 2.9617 x 10^12 = (2.9617 - 0.29617) x 10^13
= 2.66553 x 10^13
So, the debt increased by $2.66553 x 10^13 or in standard notation, $26,655,300,000,000.
Therefore, the answer is not listed among the options provided.
To find how much the debt increased in the 50-year period, we subtract the debt in 1971 from the debt in 2021.
Debt increase = Debt in 2021 - Debt in 1971
Debt in 2021 = $2.9617 x 10^13
Debt in 1971 = $3.98 x 10^11
Debt increase = ($2.9617 x 10^13) - ($3.98 x 10^11)
First, we can rewrite both numbers in scientific notation:
Debt increase = (2.9617 x 10^13) - (0.398 x 10^13)
Next, we can simplify the equation by subtracting the powers of 10:
Debt increase = (2.9617 - 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.
The correct answer is d) $3.0015 x 10^13.
To find the increase in the national debt over a 50-year period, you need to subtract the debt in 1971 from the debt in 2021. Let's do the calculation step by step:
Debt in 2021 = $2.9617 x 10^13
Debt in 1971 = $3.98 x 10^11
To subtract these numbers, you need to subtract the coefficients separately and keep the same power of 10:
2.9617 - 0.398 = 2.5637
The power of 10 remains the same: 10^13
Therefore, the increase in the national debt over the 50-year period is $2.5637 x 10^13.
Now, let's compare this result with the options provided:
a) $1.0183 x 10^24 - This does not match our calculation.
b) $2.9219 x 10^13 - This matches our calculation.
c) $2.9219 x 10^11 - This is two orders of magnitude too small.
d) $3.0015 x 10^13 - This is close to our calculation, but not an exact match.
So, the correct answer is b) $2.9219 x 10^13.
1. 4.5866 * 10*-5
2. $3.0015 * 10^13
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