Question

metric conversions example: 83.6 cg to g 83.6 cg x 1g/100 cg = 0.836 g use unit analysis to perform the following conversions. show the set - up and answer, include units 1. 123 m to cm 2. 456 cm to m 3. 789 dg to hg 4. 123 mg to g 5. 456 mm to nm 6. 789 ml to μl 7. 123 ng to g 8. 456 m² to cm² 9. 789 cm³ to m³ 10. 1.23 g/ml to kg/l go back and use your calculator to put your answers into scientific notation

Explanation:

Step1: Recall conversion factor

1 m = 100 cm.

Step2: Set - up conversion

$123\ m\times\frac{100\ cm}{1\ m}$.

Step3: Calculate

$123\times100 = 12300$ cm.

Step1: Recall conversion factor

1 m = 100 cm, so 1 cm=$\frac{1}{100}$m = 0.01 m.

Step2: Set - up conversion

$456\ cm\times\frac{1\ m}{100\ cm}$.

Step3: Calculate

$456\times0.01 = 4.56$ m.

Step1: Recall conversion factors

1 hg = 100 g, 1 dg=0.1 g. So 1 hg = 1000 dg.

Step2: Set - up conversion

$789\ dg\times\frac{1\ hg}{1000\ dg}$.

Step3: Calculate

$789\div1000 = 0.789$ hg.

Step1: Recall conversion factor

1 g = 1000 mg, so 1 mg=$\frac{1}{1000}$g = 0.001 g.

Step2: Set - up conversion

$123\ mg\times\frac{1\ g}{1000\ mg}$.

Step3: Calculate

$123\times0.001 = 0.123$ g.

Answer:

$1.23\times10^{4}$ cm