The US. 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)
To find the increase in the national debt over a 50-year period, we need to subtract the debt in 1971 from the debt in 2021.
Debt in 2021 = \$2.9617 * 10^13
Debt in 1971 = \$3.98 * 10^11
Increase in debt = Debt in 2021 - Debt in 1971
= (\$2.9617 * 10^13) - (\$3.98 * 10^11)
To subtract these numbers, we need to have the same exponent. We can achieve that by converting both numbers to scientific notation with the same exponent.
(\$2.9617 * 10^13) = \$296.17 * 10^11
(\$3.98 * 10^11) = \$39.8 * 10^11
Therefore, the increase in the national debt over the 50-year period is:
Increase in debt = \$296.17 * 10^11 - \$39.8 * 10^11
= \$256.37 * 10^11
Thus, the increase in the national debt over the 50-year period is approximately \$256.37 * 10^11.
To find the increase in the national debt over a 50-year period, we need to subtract the debt in 1971 from the debt in 2021.
Debt in 2021 = $2.9617 \times 10^{13}
Debt in 1971 = $3.98 \times 10^{11}
To subtract the two values, we convert both debts into standard form:
Debt in 2021 = $29,617,000,000,000
Debt in 1971 = $398,000,000,000
Now we can perform the subtraction:
Debt increase over 50 years = Debt in 2021 - Debt in 1971
Debt increase over 50 years = $29,617,000,000,000 - $398,000,000,000
After subtracting the values, the increase in the national debt over a 50-year period is $29,219,000,000,000.
To find out how much the US national debt increased in the 50-year period from 1971 to 2021, we can subtract the 1971 debt from the 2021 debt. Here's how you can calculate it:
1. Start by converting the given values into actual numbers:
- \$2.9617 * 10^13 (2021 debt)
- \$3.98 * 10^11 (1971 debt)
2. In scientific notation, the exponent represents the number of zeroes. So, in the 2021 debt, there are 13 zeroes after the decimal point, while in the 1971 debt, there are 11 zeroes.
3. Rewrite the numbers in standard decimal notation:
- 2021 debt: \$29,617,000,000,000 (note the 13 zeroes)
- 1971 debt: \$398,000,000,000 (note the 11 zeroes)
4. Subtract the 1971 debt from the 2021 debt:
\$29,617,000,000,000 - \$398,000,000,000 = \$29,219,000,000,000
Therefore, the US national debt increased by \$29.219 trillion (or \$29,219 billion) over the 50-year period from 1971 to 2021.