Questions: Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 7.808 cm × 3.5 cm =□ cm² 960.93 mol ÷ 0.48 L =□ mol/L 0.934 g/mL × 3.125 mL =□ g

Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. 7.808 cm × 3.5 cm =□ cm² 960.93 mol ÷ 0.48 L =□ mol/L 0.934 g/mL × 3.125 mL =□ g
Transcript text: Multiply or divide the following measurements. Be sure each answer you enter contains the correct number of significant digits. \[ \begin{aligned} 7.808 \mathrm{~cm} \times 3.5 \mathrm{~cm} & =\square \mathrm{cm}^{2} \\ 960.93 \mathrm{~mol} \div 0.48 \mathrm{~L} & =\square \frac{\mathrm{mol}}{\mathrm{~L}} \\ 0.934 \frac{\mathrm{~g}}{\mathrm{~mL}} \times 3.125 \mathrm{~mL} & =\square \mathrm{g} \end{aligned} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Multiply 7.808 cm by 3.5 cm

To multiply these two measurements, we need to consider the number of significant digits in each measurement. The number 7.808 has four significant digits, and 3.5 has two significant digits. The result should be reported with the lesser number of significant digits, which is two.

\[ 7.808 \times 3.5 = 27.328 \]

Rounding 27.328 to two significant digits gives us 27.

Step 2: Divide 960.93 mol by 0.48 L

For division, the result should have the same number of significant digits as the measurement with the fewest significant digits. Here, 960.93 has five significant digits, and 0.48 has two significant digits. Therefore, the result should have two significant digits.

\[ \frac{960.93}{0.48} = 2001.9375 \]

Rounding 2001.9375 to two significant digits gives us 2000.

Step 3: Multiply 0.934 g/mL by 3.125 mL

In this multiplication, 0.934 has three significant digits, and 3.125 has four significant digits. The result should be reported with three significant digits.

\[ 0.934 \times 3.125 = 2.91875 \]

Rounding 2.91875 to three significant digits gives us 2.92.

Final Answer

\[ \begin{aligned} 7.808 \mathrm{~cm} \times 3.5 \mathrm{~cm} & = \boxed{27 \mathrm{~cm}^2} \\ 960.93 \mathrm{~mol} \div 0.48 \mathrm{~L} & = \boxed{2000 \frac{\mathrm{mol}}{\mathrm{~L}}} \\ 0.934 \frac{\mathrm{~g}}{\mathrm{~mL}} \times 3.125 \mathrm{~mL} & = \boxed{2.92 \mathrm{~g}} \end{aligned} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Add. [ -frac2 s+2 t13 s+frac5 s+3 t13 s ] Simplify your answer as much as possible.
failedAnswered
Multiple Select Question Select all that apply What are two antimicrobial proteins? Interferon Complement Macrophage Mucous membrane Stomach acid
failedAnswered
Hospital visits: According to a health agency, there were 409,706 hospital visits for asthma-related illnesses in a recent year. The age distribution was as follows. Round your answers to four decimal places if necessary. Age Range Number ------ Less than 1 year 7864 1-17 103,045 18-44 79,661 45-64 121,725 65-84 80,655 85 and up 16,756 Total 409,706 Part 1 of 3 (a) What is the probability that an asthma patient is between 65 and 84 years old? The probability that an asthma patient is between 65 and 84 years old is 0.1969. Part 2 of 3 (b) What is the probability that an asthma patient is 85 years old or older? The probability that an asthma patient is 85 years old or older 0.0409. Part 3 of 3 (c) Using a cutoff of 0.05, is it unusual for an asthma patient to be less than 1 year old? Based on a cutoff of 0.05, it is unusual for an asthma patient to be less than 1 year old.
failedAnswered
Find all asymptotes and/or holes in the graph of (f(x)=fracx^2-2 x-8x^2-x-6).
failedAnswered
Christine and Paul are deciding how to split their time between writing music and writing lyrics for their new album. Their PPFs for 72 hours of work are shown in the accompanying diagram. Christine and Paul have to write music for 8 songs and lyrics for 12 songs; 4 songs already have music. When they are done, they can go to a private island and relax from all their hard work. It is possible that they will use more than 72 hours. Once they start writing lyrics and music, assuming their hired help packs for them, and their plane is waiting outside their door, in how many hours can they board the plane to their relaxing island getaway? Christine has a comparative advantage in writing Paul has a comparative advantage in writing lyrics music . Christine will write music for songx. Paul will write music for 8