calvinbaloyi4
Answered

Convert each of the following measurements to kilometers in decimal form.

a) [tex]3 \, \text{km} + 500 \, \text{m} = \qquad \text{km}[/tex]

b) [tex]14 \, \text{km} + 5 \, \text{m} = \qquad \text{km}[/tex]

c) [tex]7 \, \text{km} + 50 \, \text{m} = \qquad \text{km}[/tex]

d) [tex]15 \, \text{km} + 600 \, \text{m} = \qquad \text{km}[/tex]

e) [tex]89 \, \text{km} + 7 \, \text{m} = \qquad \text{km}[/tex]

f) [tex]51 \, \text{km} + 80 \, \text{m} = \qquad \text{km}[/tex]



Answer :

GinnyAnswer
Let's convert each of the given measurements into kilometers in decimal form, step by step.

a) [tex]\( 3 \text{ km} + 500 \text{ m} \)[/tex] \\
1. Convert 500 meters to kilometers: [tex]\( 500 \text{ m} = \frac{500}{1000} \text{ km} = 0.5 \text{ km} \)[/tex]
2. Add the converted meters to the kilometers: [tex]\( 3 \text{ km} + 0.5 \text{ km} = 3.5 \text{ km} \)[/tex]

b) [tex]\( 14 \text{ km} + 5 \text{ m} \)[/tex] \\
1. Convert 5 meters to kilometers: [tex]\( 5 \text{ m} = \frac{5}{1000} \text{ km} = 0.005 \text{ km} \)[/tex]
2. Add the converted meters to the kilometers: [tex]\( 14 \text{ km} + 0.005 \text{ km} = 14.005 \text{ km} \)[/tex]

c) [tex]\( 7 \text{ km} + 50 \text{ m} \)[/tex] \\
1. Convert 50 meters to kilometers: [tex]\( 50 \text{ m} = \frac{50}{1000} \text{ km} = 0.05 \text{ km} \)[/tex]
2. Add the converted meters to the kilometers: [tex]\( 7 \text{ km} + 0.05 \text{ km} = 7.05 \text{ km} \)[/tex]

d) [tex]\( 15 \text{ km} + 600 \text{ m} \)[/tex] \\
1. Convert 600 meters to kilometers: [tex]\( 600 \text{ m} = \frac{600}{1000} \text{ km} = 0.6 \text{ km} \)[/tex]
2. Add the converted meters to the kilometers: [tex]\( 15 \text{ km} + 0.6 \text{ km} = 15.6 \text{ km} \)[/tex]

e) [tex]\( 89 \text{ km} + 7 \text{ m} \)[/tex] \\
1. Convert 7 meters to kilometers: [tex]\( 7 \text{ m} = \frac{7}{1000} \text{ km} = 0.007 \text{ km} \)[/tex]
2. Add the converted meters to the kilometers: [tex]\( 89 \text{ km} + 0.007 \text{ km} = 89.007 \text{ km} \)[/tex]

f) [tex]\( 51 \text{ km} + 80 \text{ m} \)[/tex] \\
1. Convert 80 meters to kilometers: [tex]\( 80 \text{ m} = \frac{80}{1000} \text{ km} = 0.08 \text{ km} \)[/tex]
2. Add the converted meters to the kilometers: [tex]\( 51 \text{ km} + 0.08 \text{ km} = 51.08 \text{ km} \)[/tex]

So, the conversions are:

a) [tex]\( 3 \text{ km} + 500 \text{ m} = 3.5 \text{ km} \)[/tex] \\
b) [tex]\( 14 \text{ km} + 5 \text{ m} = 14.005 \text{ km} \)[/tex] \\
c) [tex]\( 7 \text{ km} + 50 \text{ m} = 7.05 \text{ km} \)[/tex] \\
d) [tex]\( 15 \text{ km} + 600 \text{ m} = 15.6 \text{ km} \)[/tex] \\
e) [tex]\( 89 \text{ km} + 7 \text{ m} = 89.007 \text{ km} \)[/tex] \\
f) [tex]\( 51 \text{ km} + 80 \text{ m} = 51.08 \text{ km} \)[/tex]

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