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In $2018$ , a new record was set for the most expensive car ever sold at auction. The car, a $1962$ Ferrari, sold for $48,000,000$ $\$$ . What is the approximate price of the Ferrari, written in scientific notation? $\newline$ Choices: $\newline$ (A) $5 \times 10^{-6}$ dollars $\newline$ (B) $5 \times 10^{-7}$ dollars $\newline$ (C) $5 \times 10^{6}$ dollars $\newline$ (D) $5 \times 10^{7}$ dollars

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. In

2018

, a new record was set for the most expensive car ever sold at auction. The car, a

1962

Ferrari, sold for

48,000,000

\$

. What is the approximate price of the Ferrari, written in scientific notation?

\newline

Choices:

\newline

(A)

5 \times 10^{-6}

dollars

\newline

(B)

5 \times 10^{-7}

dollars

\newline

(C)

5 \times 10^{6}

dollars

\newline

(D)

5 \times 10^{7}

dollars

Write Price in Standard Form: First, let's write the price of the Ferrari in standard form: $\$48,000,000$ .
Convert to Scientific Notation: Now, we convert this number into scientific notation by moving the decimal point to the left until we have a number between $1$ and $10$ . We count the number of places we move the decimal point to determine the exponent on $10$ .
Determine Exponent on $10$ : Moving the decimal point $7$ places to the left gives us $4.8$ . To make it a number between $1$ and $10$ , we need to multiply $4.8$ by $10^7$ .
Round to Nearest Whole Number: Since the question asks for an approximate price, we round $4.8$ to the nearest whole number, which is $5$ . So, the scientific notation of $\$48,000,000$ is approximately $5 \times 10^7$ dollars.

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