Question

$0.93 \frac{\text{g}}{\text{ml}} \times 3.725 \text{ ml} = \square \text{ g}$

Explanation:

Step1: Identify the operation

We need to multiply the density ($0.93 \frac{\text{g}}{\text{mL}}$) by the volume ($3.725 \text{mL}$) to get the mass. The units of $\text{mL}$ will cancel out, leaving us with grams.
The formula for mass is $m =
ho \times V$, where $
ho$ is density and $V$ is volume.
So we calculate $0.93 \times 3.725$.

Step2: Perform the multiplication

First, multiply the numbers:
$0.93 \times 3.725 = 0.93 \times (3 + 0.7 + 0.02 + 0.005)$
$= 0.93\times3 + 0.93\times0.7 + 0.93\times0.02 + 0.93\times0.005$
$= 2.79 + 0.651 + 0.0186 + 0.00465$
$= 2.79 + 0.651 = 3.441$; $3.441 + 0.0186 = 3.4596$; $3.4596 + 0.00465 = 3.46425$

Or directly: $0.93\times3.725 = 3.46425$

We can also consider significant figures. The density $0.93$ has two significant figures, and the volume $3.725$ has four. When multiplying, the result should have two significant figures? Wait, no, $0.93$ is two decimal places? Wait, no, significant figures: $0.93$ has two significant figures (the 9 and 3), $3.725$ has four. The rule for multiplication/division is that the result has the same number of significant figures as the least precise measurement. So $0.93$ has two, so we should round to two significant figures? Wait, but maybe the problem just wants the direct multiplication result. Let's check:

$0.93\times3.725 = 3.46425$. If we consider significant figures, $0.93$ has two, so $3.5$? But maybe the problem doesn't care about significant figures and just wants the product. Let's see:

$0.93\times3.725$:

$3.725\times0.9 = 3.3525$

$3.725\times0.03 = 0.11175$

Adding them: $3.3525 + 0.11175 = 3.46425$

So the result is $3.46425$ grams. If we round to a reasonable decimal place, maybe two decimal places: $3.46$ or three: $3.464$. But let's see the original numbers. $0.93$ is two decimal places, $3.725$ is three. When multiplying, the number of decimal places in the result is the sum of the decimal places of the factors? No, that's for addition. For multiplication, it's about significant figures. But maybe the problem just wants the exact product.

Answer:

$3.46425$ (or rounded to $3.46$ or $3.5$ depending on significant figures, but the direct calculation is $3.46425$)