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

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 :

$12.3 mm\times 15.853 mm :194.9919 mm^2\approx 195 mm^2$

Three significant figures.

b) 72.98 · 15.830 ml

$72.98\times 15.830 ml=1,155.2734 ml\approx 1,155 mL$

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.