# Question 8bf85

Jan 24, 2018

$230 \textcolor{w h i t e}{\text{-" "m" = 23 color(white)"-" "dam}}$

$1.9 \textcolor{w h i t e}{\text{-" "mm" = .19 color(white)"-" "cm}}$

 94.7 color(white)"-" "g" = 94700 color(white)"-" "mg"

#### Explanation:

The metric system is a decimal based system. Meters, grams, liters all use the same prefixes and pattern. The pattern is shown below

k = 1000
................ha = 100
..................................da = 10
................................................unit = 1
...............................................................d = .1 (1/10)
...........................................................................c = .01 (1/100)
...........................................................................................m = .001(1/1000)

To change from one metric unit to another count the number of steps on the staircase like pattern, and move the decimal point that number of spaces in the direction moves.

The biggest numbers prefixes are on the top, the smallest number prefixes are on the bottom. Moving to the right the value of the prefix becomes smaller so the number of units gets bigger move the decimal to the right. Moving to the left the value of the prefixes becomes bigger so the number of units is less move the decimal to the left.

A.

$\text{da}$ is one place to the left and above "units" so move the decimal one place to the left.

 (230 color(white)"-" "m")/10 = 23 color(white)"-" "dam"

B.

$\text{cm}$ is one place to the left and above m so move the decimal one place to the left

(1.9 color(white)"-" "mm")/10 = .19 color(white)"-" "cm"

C.

$\text{m}$ is three places to right and below "units" so move the decimal three places to the right

 94.7 color(white)"-" "g" xx 1000 = 94700 color(white)"-" "mg"#