Question

1. equivalency: ____ mg = ____ g

0.6 mg x ____ = ____ g

1. equivalency: ____ ng = ____ g

0.0000000089 g ____ = ____ ng

1. equivalency: ____ hm = ____ m

5,000 m x ____ = ____ hm

1. equivalency: ____ dag = ____ g

5,000 g x ____ = ____ dag

part 2

1. you need to travel a distance of 5,000 meters, and you want to know what this distance is in kilometers.

1. a recipe calls for 1.5 l of broth, but the measuring tools in the kitchen only have increments in milliliters. so, you need to convert 1.5 l to a value in units of ml.

1. the distance from the main part of a school to the science building is 8.40 meters. what is this distance in cm?

1. an experiment requires 175 mg of sodium chloride, but your balance only has units of grams. how many grams of sodium chloride is equal to 175 mg?

Explanation:

Problem 7

Step1: Recall Mg to g conversion

1 Mg = \(10^6\) g

Step2: Set up conversion factor

0.6 Mg × \(\frac{10^6 \text{ g}}{1 \text{ Mg}}\)

Step3: Calculate the result

0.6 × \(10^6\) = 600000 g

Step1: Recall ng to g conversion

1 ng = \(10^{-9}\) g

Step2: Set up conversion factor (g to ng)

0.0000000089 g × \(\frac{10^9 \text{ ng}}{1 \text{ g}}\)

Step3: Calculate the result

0.0000000089 × \(10^9\) = 8.9 ng

Step1: Recall hm to m conversion

1 hm = 100 m

Step2: Set up conversion factor (m to hm)

5000 m × \(\frac{1 \text{ hm}}{100 \text{ m}}\)

Step3: Calculate the result

\(\frac{5000}{100}\) = 50 hm

Answer:

Equivalency: 1 Mg = \(10^6\) g
0.6 Mg × \(\frac{10^6 \text{ g}}{1 \text{ Mg}}\) = 600000 g

Problem 8