Question

Divide the numbers in around the answer to the correct number of significant figures.

Answer 1

Answer:

$\large \boxed{19.0}$

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:

$\dfrac{163.8}{8.64} = \mathbf{18.95833333}$

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.

$\text{The quotient of \dfrac{163.8}{18.64} is \large \boxed{\mathbf{19.0}} }$