Question

Convert 5.23 oz to milliliters with scientific notation.

(5.23 oz) in scientific notation is:
a) (5.23 x 10² mL)
b) (5.23x 10¹ mL)
c) (5.23x 10³ mL)
d) (5.23x 10⁰ mL)

Answer 1

To convert 5.23 oz to milliliters, multiply by the conversion factor (5.23 oz × 29.5735 mL/oz), which results in approximately 154.5993 mL. In scientific notation, this is 1.545993 × 10² mL, and when rounded for significant figures, it becomes 1.546 × 10² mL.

Step-by-step explanation:

To convert the weight of 5.23 ounces (oz) to milliliters (mL), you need to know the conversion factor between ounces and milliliters. There isn't a direct conversion between weight and volume since they are two different types of measurement, but we can use the approximate conversion factor for water, which is 1 oz is approximately equal to 29.5735 mL. Here's how you can convert 5.23 oz to mL with scientific notation:

1. First, multiply the amount in ounces by the conversion factor: 5.23 oz × 29.5735 mL/oz.
2. The result of the above multiplication is approximately 154.5993 mL.
3. To express this in scientific notation, move the decimal point two places to the left, which gives 1.545993 × 10² mL.
4. Since we're typically interested in a few significant figures, we might round it to 1.546 × 10² mL.

The answer with the significant figures rounded properly is 1.546 × 10² mL. So, the correct scientific notation answer is not given in the initial options but can be expressed as something similar to option a) when rounded correctly.