Writing numbers in powers of 10, is an illustration of standard forms of numbers.
The national debt is about [tex]2.353 \times 10^{10}[/tex] greater than the average household credit card debt.
Let
[tex]k = 7122[/tex] --- average household credit card debt
[tex]n = 16,755,133,009,522[/tex] --- national debt
Rewrite as a power of 10
[tex]k = 7.122 \times 10^3[/tex]
[tex]n = 1.676 \times 10^{14}[/tex]
The number of times (N) the national debt is greater than the average household debt is
[tex]N = \frac nk[/tex]
So, we have:
[tex]N = \frac{1.676 \times 10^{14}}{7.122 \times 10^3}[/tex]
Evaluate exponents
[tex]N = \frac{1.676 \times 10^{14 -3}}{7.122}[/tex]
[tex]N = \frac{1.676 \times 10^{11}}{7.122}[/tex]
Divide
[tex]N = 0.2353 \times 10^{11}[/tex]
Rewrite as:
[tex]N = 2.353 \times 10^{10}[/tex]
Hence, the national debt is about [tex]2.353 \times 10^{10}[/tex] greater than the average household credit card debt.
Read more about standard forms at:
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