Question

Report the answer with the correct number of significant figures: a. 12.3 mm x 15.853 mm = b. 72.98 · 15.830 ml = c. 12.3 mm + 15.853 mm = d. 172.3 cm - 15.853 cm - 12.5 pts

Answer 1

Step-by-step explanation:

• The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

• The rule apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

a) 12.3 mm × 15.853 mm :

`12.3 mm* 15.853 mm :194.9919 mm^2\approx 195 mm^2`

Three significant figures.

b) 72.98 · 15.830 ml

`72.98* 15.830 ml=1,155.2734 ml\approx 1,155 mL`

Three significant figures.

c) 12.3 mm + 15.853 mm

`12.3 mm + 15.853 mm = 28.153 mm\approx 28.1 mm`

Three significant figures.

d) 172.3 cm - 15.853 cm

`172.3 cm - 15.853 cm= 156.447 cm\approx 156.4 cm`

Four significant figures.