Answer:
[tex]\large \boxed{19.0}[/tex]
Explanation:
In multiplication and division problems, the answer can have no more significant figures than the number with the fewest significant figures.
A calculator gives the result:
[tex]\dfrac{163.8}{8.64} = \mathbf{18.95833333}[/tex]
163.8 has four significant figures.
8.64 has three significant figures.
You must round to three significant figures.
That is, you drop all the digits to the right of the 9 — the red line in Fig. 1 below. You are rounding to the nearest tenth.
To round a number to the nearest tenth, you look at the digit in the hundredths place (7). See Fig. 2.
If the digit to be dropped is greater than 5 or is 5 followed by at least one non-zero digit, you add 1 to the number in the tenths place (Fig. 3).
Here's how you do it.
- The digit in the hundredths place is 5 followed by non-zero digits.
- Add 1 to the digit in the tenths place (9).
- ⁹/₁₀ + ⅒ = ¹⁰/₁₀ = 1 + ⁰/₁₀ = 1.0
The tenths digit becomes 0 and the ones digit increases from 8 to 9.
[tex]\text{The quotient of $\dfrac{163.8}{18.64}$ is $\large \boxed{\mathbf{19.0}}$}[/tex]
