1) A rectangular plate has a length of (24.0 ± 0.2) cm and a width of (9.4 ± 0.1) cm. Calculate the area of the plate, including its uncertainty?
2)Carry out the following arithmetic operations. (Give your answers to the correct number of significant figures.)
-(a) the sum of the measured values 756, 37.2, 0.83, and 2
-(b) the product 0.003 2 ✕ 356.3
-(c) the product 5.620 ✕ π
3)A rectangular building lot has a width of 69.0 ft and a length of 123 ft. Determine the area of this lot in square meters.
4)Suppose your hair grows at the rate 1/31 in. per day. Find the rate at which it grows in nanometers per second. Because the distance between atoms in a molecule is on the order of 0.1 nm, your answer suggests how rapidly layers of atoms are assembled in this protein synthesis.