Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Complete the following conversions.

a) [tex]$256 \, \text{m} = \quad \text{cm} = \quad \text{mm}$[/tex]

b) [tex]$3446 \, \text{mg} = \quad \text{g} = \quad \text{kg}$[/tex]

c) [tex]$598 \, \text{kL} = \quad \text{L} = \quad \text{mL}$[/tex]

d) [tex]$118.75 \, \text{km} = \quad \text{km} + \quad \text{m}$[/tex]

e) [tex]$6755 \, \text{g} = \quad \text{kg} + \quad \text{g}$[/tex]

f) [tex]$28.7 \, \text{kg} = \quad \text{kg} + \quad \text{g}$[/tex]

Sagot :

GinnyAnswer
Let's proceed step-by-step with the conversions.

### a) [tex]$256 \, m$[/tex]

1. Convert meters to centimeters: \\
[tex]\( 1 \, m = 100 \, cm \)[/tex] \\
Therefore, [tex]\( 256 \, m = 256 \times 100 = 25600 \, cm \)[/tex].

2. Convert centimeters to millimeters: \\
[tex]\( 1 \, cm = 10 \, mm \)[/tex] \\
Therefore, [tex]\( 25600 \, cm = 25600 \times 10 = 256000 \, mm \)[/tex].

Summary:
[tex]$ 256 \, m = 25600 \, cm = 256000 \, mm $[/tex]

### b) [tex]$3446 \, mg$[/tex]

1. Convert milligrams to grams: \\
[tex]\( 1000 \, mg = 1 \, g \)[/tex] \\
Therefore, [tex]\( 3446 \, mg = \frac{3446}{1000} = 3.446 \, g \)[/tex].

2. Convert grams to kilograms: \\
[tex]\( 1000 \, g = 1 \, kg \)[/tex] \\
Therefore, [tex]\( 3.446 \, g = \frac{3.446}{1000} = 0.003446 \, kg \)[/tex].

Summary:
[tex]$ 3446 \, mg = 3.446 \, g = 0.003446 \, kg $[/tex]

### c) [tex]$598 \, kL$[/tex]

1. Convert kiloliters to liters: \\
[tex]\( 1 \, kL = 1000 \, L \)[/tex] \\
Therefore, [tex]\( 598 \, kL = 598 \times 1000 = 598000 \, L \)[/tex].

2. Convert liters to milliliters: \\
[tex]\( 1 \, L = 1000 \, mL \)[/tex] \\
Therefore, [tex]\( 598000 \, L = 598000 \times 1000 = 598000000 \, mL \)[/tex].

Summary:
[tex]$ 598 \, kL = 598000 \, L = 598000000 \, mL $[/tex]

### d) [tex]$118.75 \, km$[/tex]

1. Separate into kilometers and meters: \\
The integer part remains in kilometers, and the decimal part is converted to meters. \\
[tex]\( 118 \, km \)[/tex] is the integer part \\
To find the meters: \\
[tex]\( 0.75 \, km = 0.75 \times 1000 = 750 \, m \)[/tex]

Summary:
[tex]$ 118.75 \, km = 118 \, km + 750 \, m $[/tex]

### e) [tex]$6755 \, g$[/tex]

1. Convert grams to kilograms: \\
[tex]\( 1000 \, g = 1 \, kg \)[/tex] \\
Therefore, [tex]\( 6755 \, g = \frac{6755}{1000} = 6.755 \, kg \)[/tex].

2. Separate kilograms and grams: \\
[tex]\( 6 \, kg \)[/tex] is the integer part \\
To find the gram remainder: \\
[tex]\( 6.755 \, kg = 6 \, kg \)[/tex] and the remainder: \\
[tex]\( 0.755 \, kg = 0.755 \times 1000 = 755 \, g \)[/tex]

Summary:
[tex]$ 6755 \, g = 6.755 \, kg = 6 \, kg + 755 \, g $[/tex]

### f) [tex]$28.7 \, kg$[/tex]

1. Separate kilograms and grams: \\
The integer part remains in kilograms, and the decimal part is converted to grams. \\
[tex]\( 28 \, kg \)[/tex] is the integer part \\
To find the gram remainder: \\
[tex]\( 0.7 \, kg = 0.7 \times 1000 = 700 \, g \)[/tex]

Summary:
[tex]$ 28.7 \, kg = 28 \, kg + 700 \, g $[/tex]

These are the final answers for each conversion problem:

- [tex]\( 256 \, m = 25600 \, cm = 256000 \, mm \)[/tex]
- [tex]\( 3446 \, mg = 3.446 \, g = 0.003446 \, kg \)[/tex]
- [tex]\( 598 \, kL = 598000 \, L = 598000000 \, mL \)[/tex]
- [tex]\( 118.75 \, km = 118 \, km + 750 \, m \)[/tex]
- [tex]\( 6755 \, g = 6.755 \, kg = 6 \, kg + 755 \, g \)[/tex]
- [tex]\( 28.7 \, kg = 28 \, kg + 700 \, g \)[/tex]
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.