Question

how many significant figures (sfs) are in each of the following measured quantities? drag the appropriate measurements to their respective bins. 7.0×10−3l 20400000g 208224kg 7.00m 80.3∘c 50.40ml

Explanation:

Step1: Determine significant figures for \(7.0\times10^{-3}\text{ L}\)

Non - zero digits (\(7\)) and trailing zero after decimal (\(0\)) are significant. So, there are \(2\) significant figures.

Step2: Determine significant figures for \(20400000\text{ g}\)

Using the rule for numbers without a decimal, non - zero digits (\(2\), \(4\)) and zeros between non - zero digits (\(0\) between \(2\) and \(4\)) are significant. So, there are \(3\) significant figures.

Step3: Determine significant figures for \(2082.24\text{ kg}\)

All non - zero digits (\(2\), \(8\), \(2\), \(2\), \(4\)) and zeros between non - zero digits (\(0\) between \(2\) and \(8\)) are significant. So, there are \(6\) significant figures.

Step4: Determine significant figures for \(7.00\text{ m}\)

Non - zero digit (\(7\)) and trailing zeros after decimal (\(00\)) are significant. So, there are \(3\) significant figures.

Step5: Determine significant figures for \(80.3^{\circ}\text{C}\)

Non - zero digits (\(8\), \(3\)) and zero between non - zero digits (\(0\) between \(8\) and \(3\)) are significant. So, there are \(3\) significant figures.

Step6: Determine significant figures for \(50.40\text{ mL}\)

Non - zero digits (\(5\), \(4\)) and zeros between non - zero digits (\(0\) between \(5\) and \(4\)) and trailing zero after decimal (\(0\)) are significant. So, there are \(4\) significant figures.

Answer:

• \(2\) SFs: \(7.0\times 10^{-3}\text{ L}\)
• \(3\) SFs: \(20400000\text{ g}\), \(7.00\text{ m}\), \(80.3^{\circ}\text{C}\)
• \(4\) SFs: \(50.40\text{ mL}\)
• \(6\) SFs: \(2082.24\text{ kg}\)