Fish can swim in depths as deep as 9.5 km. How many meters is this? How many mm?

Question

Noah Archer · Accepted Answer

#9.5xx10^3 m#
#9.5xx10^6 mm#

In order to compute the number of meters in 9.5 kilometers, we're going to use dimensional analysis (method that allows you to convert from one unit of measurement to another by cancelling out unwanted units) and the relationship below:

For questions like this I use the following technique:

#"Quantity Given" xx "Conversion Factor" = "Quantity Sought"#

#color(indigo)("Quantity Given:"# 9.5 kilometers

#color(coral)("Conversion Factor:"# 1000

#color(orange)("Quantity Sought:"# meters

Let's plug in our values:

#9.5cancel"km"xx(1000m)/(1cancel"km")# = #9.5xx10^3 m#

To go from kilometers to millimeters, we'll use the following relationship:

#color(brown)("Quantity Given:"# 9.5 kilometers

#color(red)("Conversion Factor:"# 1,000,000

#color(gray)("Quantity Sought:"# millimeters

#9.5cancel"km"xx(1,000,000mm)/(1cancel"km")# = #9.5xx10^6 mm#

Jeremiah Andrews · Answer

undefined Fish can swim in depths as deep as 9.5 km. This is equivalent to 9,500 meters or 9,500,000 millimeters.

Skylar Adams · Answer

undefined Fish can swim in depths as deep as 9.5 km. This is equivalent to:

- 9.5 kilometers is 9,500 meters.
- 9.5 kilometers is 9,500,000 millimeters.