The amount of charity is \(\boxed{{\mathbf{\$ 99,000,000}}}\).
Further explanation:
The scientific notation of a number can be written as,
\(a \times {10^n}\)
Here, the value of \(a\) lies between \(1{\text{ and 10}}\).
Procedure used:
To find the cost of \(x\) item first determine the cost of one item and then multiply it by \(x\).
Given:
The net worth of person is \(7.92 \times {10^{10}}\) in dollars.
Step by step explanation:
Step 1:
It can be seen that the net worth is given in the scientific notation.
First we convert \(7.92 \times {10^{10}}\) into numerical figures.
It can be seen that in the number \(7.92\) has two digits after the decimal.
Therefore, the decimal number \(7.92\) can be converted into fraction form as,
\(7.92 = \dfrac{{792}}{{100}}\)
The number \({10^{10}}\) can be calculated as,
\(\begin{aligned}{10^{10}} &= 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \\&= 10000000000 \\\end{aligned}\)
Now evaluate the expression \(7.92 \times {10^{10}}\) as,
\(\begin{aligned}7.92 \times {10^{10}} &= \frac{{792}}{{100}} \times 10000000000 \\ &= 79200000000 \\\end{aligned}\)
Step 2:
From step 1, the value of the expression \(7.92 \times {10^{10}}\) is \(79200000000\).
It is given that the percent of charity is \(\dfrac{1}{8}\).
Therefore, the percent of charity given can be converted into the decimal as,
\(\begin{aligned}\frac{1}{8}\% &= \frac{1}{8} \times \frac{1}{{100}}\\&= 0.00125 \\\end{aligned}\)
Multiply \(0.00125\) by \(79200000000\) to obtain the amount of charity as,
\(\begin{aligned}{\text{amount of charity}} &= \$ 79200000000 \times 0.00125 \\ &= \$ 99,000,000 \\\end{aligned}\)
Therefore, the amount of charity is \(\$ 99,000,000\).
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Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Fraction
Keywords: Dollars, multiply, net worth, charity, percent, fraction, amount, decimal, scientific notation, one-eighth, conversion, numerical figure.
