Question

how many significant figures are in each of the following measured quantities? match the words in the left column to the appropriate blanks in the sentences on the right. one two three four five six the quantity 0 001125m contains six significant figure(s). the quantity 0 1125m contains one significant figure(s). the quantity 1.12500×10⁴m contains five significant figure(s). the quantity 11205m contains five significant figure(s).

Explanation:

Step1: Rule for leading zeros

Leading zeros (zeros before non - zero digits) are not significant. For 0.001125m, the leading zeros do not count, so the significant figures are 1, 1, 2, 5, a total of four.

Step2: Rule for non - zero digits

For 0.1125m, non - zero digits are always significant. Here, 1, 1, 2, 5 are significant, so there are four significant figures.

Step3: Scientific notation rule

In scientific notation like \(1.12500\times10^{4}\)m, all digits in the coefficient (1.12500) are significant. So there are six significant figures.

Step4: General non - zero digit rule

For 11205m, all non - zero digits and the zero between non - zero digits are significant. So there are five significant figures.

Answer:

The quantity 0.001125m contains four significant figure(s).
The quantity 0.1125m contains four significant figure(s).
The quantity \(1.12500\times 10^{4}\)m contains six significant figure(s).
The quantity 11205m contains five significant figure(s).