Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which tool is most appropriate for measuring the mass of a small feathe…

Question

which tool is most appropriate for measuring the mass of a small feather?
○ pan balance
○ meter stick
○ graduated cylinder
○ digital scale

question 4 (multiple choice worth 2 points)
(12.04 lc)
which amount is greater than 12 grams?
○ 1,200 milligrams
○ 1,300 milligrams
○ 12,000 milligrams
○ 13,000 milligrams

Explanation:

Response
First Question (Tool for measuring mass of a small feather)
Brief Explanations
  • Pan balance: Used for comparing masses, not ideal for small, light objects like a feather due to air resistance affecting balance.
  • Meter stick: Measures length, not mass.
  • Graduated cylinder: Measures volume of liquids, not mass.
  • Digital scale: Can measure small masses accurately, suitable for a small feather.

Step1: Recall gram - milligram conversion

We know that \(1\) gram \(=\) \(1000\) milligrams. So to convert milligrams to grams, we use the formula \( \text{Mass in grams}=\frac{\text{Mass in milligrams}}{1000} \).

Step2: Convert each option to grams

  • For \(1200\) milligrams: \(\frac{1200}{1000} = 1.2\) grams.
  • For \(1300\) milligrams: \(\frac{1300}{1000}=1.3\) grams.
  • For \(12000\) milligrams: \(\frac{12000}{1000} = 12\) grams.
  • For \(13000\) milligrams: \(\frac{13000}{1000}=13\) grams.

Step3: Compare with 12 grams

We need to find the amount greater than \(12\) grams. \(1.2\) grams \(< 12\) grams, \(1.3\) grams \(< 12\) grams, \(12\) grams \( = 12\) grams, and \(13\) grams \(> 12\) grams.

Answer:

Digital scale

Second Question (Amount greater than 12 grams)