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.

the quantity 0.001125m contains ____ significant figure(s)
the quantity 0.1125m contains ____ significant figure(s)
the quantity $1.12500 \times 10^4$m contains ____ significant figure(s)
the quantity 11205m contains ____ significant figure(s)

(options: one, two, three, four, five, six)

Explanation:

Step1: Count sig figs for 0.001125m

Leading zeros are not significant; non-zeros and captive zeros count. So 1,1,2,5 → 4.

Step2: Count sig figs for 0.1125m

Leading zero is not significant; non-zeros count. So 1,1,2,5 → 4.

Step3: Count sig figs for $1.1250 \times 10^4$ m

In scientific notation, all digits in coefficient count. So 1,1,2,5,0 → 5.

Step4: Count sig figs for 11205m

Trapped and non-zero digits count. So 1,1,2,0,5 → 5.

Answer:

The quantity 0.001125m contains four significant figure(s).
The quantity 0.1125m contains four significant figure(s).
The quantity $1.1250 \times 10^4$ m contains five significant figure(s).
The quantity 11205m contains five significant figure(s).