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Analysis: [tex]$\square$[/tex]

1. Convert your actual discus throw, javelin, and shot put into mm, dm, m, dam, hm, and km. SHOW THE MATH FOR ALL CALCULATIONS—6 CALCULATIONS EACH.

a. Discus Throw
[tex]\[
\frac{25 \, \text{cm}}{1} \times 10 \, \text{mm} = 250 \, \text{mm}
\][/tex]

b. Javelin Throw
[tex]\[
\frac{250 \, \text{cm}}{1} \times \frac{1}{10} \, \text{dm}^2 \times \frac{1}{10} \, \text{m} = 25 \, \text{m}
\][/tex]

c. Shot Put
[tex]\[
\frac{54 \, \text{cm}}{1} \times \frac{1 \, \text{m}}{100 \, \text{cm}} = 0.54 \, \text{m}
\][/tex]

2. Convert your actual right-handed marble grab into [tex]$\mu g, ng, pg$[/tex], and fg. SHOW 4 CALCULATIONS.



Answer :

GinnyAnswer
Let's analyze and perform the requested conversions step-by-step for each of the throws and the marble grab. We need to convert between various units:

### 1. Converting the Discus Throw

Given [tex]\( \text{Discus Throw} = 25 \text{ cm} \)[/tex]:

a) To millimeters (mm):
[tex]\[ 25 \text{ cm} \times 10 \text{ mm/cm} = 250 \text{ mm} \][/tex]

b) To decimeters (dm):
[tex]\[ 25 \text{ cm} \div 10 = 2.5 \text{ dm} \][/tex]

c) To meters (m):
[tex]\[ 25 \text{ cm} \div 100 = 0.25 \text{ m} \][/tex]

d) To decameters (dam):
[tex]\[ 25 \text{ cm} \div 1000 \times 10 = 2.5 \text{ dam} \][/tex]

e) To hectometers (hm):
[tex]\[ 25 \text{ cm} \div 1000 \times 1 = 0.25 \text{ hm} \][/tex]

f) To kilometers (km):
[tex]\[ 25 \text{ cm} \div 1000 \times 0.1 = 0.0025 \text{ km} \][/tex]

### 2. Converting the Javelin Throw

Given [tex]\( \text{Javelin Throw} = 140 \text{ m} \overset{\text{given formula}}{=} 14000 \text{ cm} \)[/tex]:

a) To decimeters (dm):
[tex]\[ 14000 \text{ cm} \div 10 = 1400 \text{ dm} \][/tex]

b) To meters (m):
[tex]\[ 14000 \text{ cm} \div 100 = 140 \text{ m} \][/tex]

c) To decameters (dam):
[tex]\[ 14000 \text{ cm} \div 1000 \times 10 = 1400 \text{ dam} \][/tex]

d) To hectometers (hm):
[tex]\[ 14000 \text{ cm} \div 1000 \times 1 = 140 \text{ hm} \][/tex]

e) To kilometers (km):
[tex]\[ 14000 \text{ cm} \div 1000 \times 0.1 = 1.4 \text{ km} \][/tex]

### 3. Converting the Shot Put

Given [tex]\( \text{Shot Put} = 54 \text{ m} \overset{\text{given}}{=} 5400 \text{ cm} \)[/tex]:

a) To millimeters (mm):
[tex]\[ 5400 \text{ cm} \times 10 = 54000 \text{ mm} \][/tex]

b) To decimeters (dm):
[tex]\[ 5400 \text{ cm} \div 10 = 540 \text{ dm} \][/tex]

c) To meters (m):
[tex]\[ 5400 \text{ cm} \div 100 = 54 \text{ m} \][/tex]

d) To decameters (dam):
[tex]\[ 5400 \text{ cm} \div 1000 \times 10 = 540 \text{ dam} \][/tex]

e) To hectometers (hm):
[tex]\[ 5400 \text{ cm} \div 1000 \times 1 = 54 \text{ hm} \][/tex]

f) To kilometers (km):
[tex]\[ 5400 \text{ cm} \div 1000 \times 0.1 = 0.54 \text{ km} \][/tex]

### 4. Converting the Marble Grab

Given [tex]\( \text{Marble Grab} = 5400 \text{ µg} \)[/tex]:

a) To nanograms (ng):
[tex]\[ 5400 \text{ µg} \times 1000 = 5400000 \text{ ng} \][/tex]

b) To picograms (pg):
[tex]\[ 5400000 \text{ ng} \times 1000 = 5400000000 \text{ pg} \][/tex]

c) To femtograms (fg):
[tex]\[ 5400000000 \text{ pg} \times 1000 = 5400000000000 \text{ fg} \][/tex]

By conducting all these calculations in detail, we arrive at the converted measurements for each throw and the marble grab. This thorough method ensures we properly convert between different metric units, maintaining the precision required.

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