Question

1) Round 578.683 m, 47.3333 kg, and 789.5 cm to four significant figures.
2) Find the weight of a 12.25 kg dog. Round your answer to the correct number of significant figures. Use weight=massxfree-fall acceleration.
3) Round 3155.24m, 8.777 73 cm, and 93.775 57 kg to one less significant figure than they each have currrently.
4) Multiply 4.135 x 4.688 888 887 m x 8.7m round your answer to the correct number of significant figures.

PLEASE explain each of the answers to me in simple language. I need to submit these by tonight and I struggled and I know my answers are wrong. Thank you.

Answer 1

1) Round 578.683 m, 47.3333 kg, and 789.5 cm to four significant figures.

0,1,2,3,4 round down
5,6,7,8,9 round up

578.6 83
8 is greater than 4
so this becomes
578.7 meters

47.33 33
3 is less than 4 so this becomes
47.33 kilograms

789.5 cm
This already has four significant figures

Answer 2

2) Find the weight of a 12.25 kg dog. Round your answer to the correct number of significant figures. Use weight=massxfree-fall acceleration.

g is different in different places on earth. We need it to four significant figures because your mass is to four sig figs.
I will call 9.806 65 m/s^2 = 9.807 m/s^2

m g = weight = 12.25 * 9.807 = 120.1 Newtons

Answer 3

3) Round 3155.24m, 8.777 73 cm, and 93.775 57 kg to one less significant figure than they each have currently.
====================
3155.24
4 is less than 5 so
3155.3

3<5 so
8.7777

93.77557
7>5 so
93.7756

Answer 4

4) Multiply 4.135 x 4.688 888 887 m x 8.7m round your answer to the correct number of significant figures.
============================
You only have 2 sig figs because you said
8.7 not 8.70000000
so
19.388555555
is
19 <-------answer

Answer 5

Thank you Damon