Question

Which value is the smallest?

A. 320 cm
B. 3.2 m
C. 3.2 cm
D. 3.2 x 102 mm
E. 3.2 x 106 nm

Answer 1

C. 3.2 cm

Step-by-step explanation:

We need to compare the values given in different units and convert them to a common unit for comparison. The smallest unit of measurement among the given options is nanometers (nm). Therefore, we need to convert all the values to nanometers and compare them.

1 cm = 10 mm

1 mm = 1,000,000 nm

Converting the given values to nanometers:

A. 320 cm = 320 x 10 mm = 3200 mm = 3,200,000,000 nm

B. 3.2 m = 3.2 x 100 cm = 320 cm = 3,200,000,000 nm

C. 3.2 cm = 3.2 x 10 mm = 32 mm = 32,000,000 nm

D. 3.2 x 102 mm = 3.2 x 102 x 1,000,000 nm = 3,200,000,000 nm

E. 3.2 x 106 nm = 3,200,000,000 nm

Comparing the values in nanometers, we see that options C is the smallest and has the same value of 32,000,000 nm. Therefore, the answer is (C) 3.2 cm