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Convert the following distances from kilometers to meters: a) 3 rac34 km b) 7 rac35 km c) 10 km

Mathematics

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3 parts
d

3750 m\text{3750 m}

e

7600 m\text{7600 m}

f

10000 m\text{10000 m}

Step-by-step solution

5 steps

To convert between kilometers (km) and meters (m), we use the conversion factor:

1 km=1000 m1 \text{ km} = 1000 \text{ m}

Part d· 2 steps

Convert 334 km3 \frac{3}{4} \text{ km} to meters (m).

  1. Convert the mixed number to an improper fraction or decimal.

    334 km=154 km=3.75 km3 \frac{3}{4} \text{ km} = \frac{15}{4} \text{ km} = 3.75 \text{ km}
  2. Multiply the value in kilometers by 1000.

    3.75 km=3.75×1000 m=3750 m3.75 \text{ km} = 3.75 \times 1000 \text{ m} = \boxed{\text{3750 m}}

Part e

7600 m\text{7600 m}

Convert 735 km7 \frac{3}{5} \text{ km} to meters (m).

  1. Convert the mixed number to an improper fraction or decimal.

    735 km=385 km=7.6 km7 \frac{3}{5} \text{ km} = \frac{38}{5} \text{ km} = 7.6 \text{ km}
  2. Multiply the value in kilometers by 1000.

    7.6 km=7.6×1000 m=7600 m7.6 \text{ km} = 7.6 \times 1000 \text{ m} = \boxed{\text{7600 m}}

Part f

10000 m\text{10000 m}

Convert 10 km10 \text{ km} to meters (m).

  1. Multiply the value in kilometers by 1000.

    10 km=10×1000 m=10000 m10 \text{ km} = 10 \times 1000 \text{ m} = \boxed{\text{10000 m}}
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