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Convert the following lengths to the specified units:

a) 51 cm to mm
b) 23 m to cm
c) [tex]76.2 \, \text{dm} \, (\text{cm})[/tex]
d) [tex]120 \, \text{m} \, (\text{mm})[/tex]
e) 18 dm to mm
f) [tex]42.5 \, \text{mm} \, (\text{cm})[/tex]
g) [tex]1,190 \, \text{mm} \, (\text{dm})[/tex]
h) 1.0071 km to dm
i) [tex]81.36 \, \text{cm} \, (\text{m})[/tex]
j) 65.42 mm to inches
k) 970 dm to km
l) [tex]48,200 \, \text{mm} \, (\text{m})[/tex]
m) [tex]138,000,000 \, \text{cm} \, (\text{km})[/tex]
n) 0.505 mm to cm
o) 0.006 m to cm
p) [tex]850,000 \, \text{mm} \, (\text{dm})[/tex]
q) 0.0039 km to cm
r) 0.34 dm to inches
s) [tex]1,001,000 \, \text{dm} \, (\text{km})[/tex]
t) 0.34 dm to inches
u) 0.075 m to mm
v) 1.505 cm to dm
w) [tex]56.65 \, \text{mm} \, (\text{dm})[/tex]
x) 0.000098 km to mm
y) [tex]10,320,000 \, \text{mm} \, (\text{km})[/tex]
z) 6.024 km to m
Z) 101.010 cm to m

(Note: Some parts of the original question were unclear or contained errors, such as repetition or incorrect units, and have been clarified to the best of my ability. Please verify the units you wish to convert to in parts j, t, u, and other unclear sections.)

Answer :

Sure! Let's convert each of the given length units step-by-step. I'll guide you through each calculation to make sure you understand how each conversion works.

### a) 51 cm to mm
1 cm is equal to 10 mm. So, you multiply the length in centimeters by 10.
[tex]\[ 51 \, \text{cm} \times 10 = 510 \, \text{mm} \][/tex]

### j) 65.42 mm to inches
1 mm is approximately 0.0393701 inches. Multiply the millimeters by this conversion factor.
[tex]\[ 65.42 \, \text{mm} \times 0.0393701 \approx 2.576 \, \text{inches} \][/tex]

### s) 1,001,000 dm to km
1 dm is equal to 0.0001 km. Convert decimeters to kilometers by multiplying by 0.0001.
[tex]\[ 1,001,000 \, \text{dm} \times 0.0001 = 100.1 \, \text{km} \][/tex]

### b) 23 m to cm
1 meter equals 100 centimeters. Multiply the meters by 100 to convert.
[tex]\[ 23 \, \text{m} \times 100 = 2300 \, \text{cm} \][/tex]

### k) 970 dm to km
1 dm is equal to 0.0001 km. Convert decimeters to kilometers by multiplying by 0.0001.
[tex]\[ 970 \, \text{dm} \times 0.0001 = 0.097 \, \text{km} \][/tex]

### t) 0.34 dm to inches
1 dm is approximately 3.93701 inches. Convert decimeters to inches by multiplying by this factor.
[tex]\[ 0.34 \, \text{dm} \times 3.93701 \approx 1.339 \, \text{inches} \][/tex]

### c) 76.2 dm to cm
Since 1 dm is 10 cm, multiply the decimeters by 10 to convert to centimeters.
[tex]\[ 76.2 \, \text{dm} \times 10 = 762 \, \text{cm} \][/tex]

### l) 48,200 mm to mm
No conversion is needed as it's already in millimeters.
[tex]\[ 48,200 \, \text{mm} = 48,200 \, \text{mm} \][/tex]

### u) 0.075 m to mm
1 meter equals 1000 mm. Multiply the meters by 1000 to convert.
[tex]\[ 0.075 \, \text{m} \times 1000 = 75 \, \text{mm} \][/tex]

### d) 120 m to mm
1 meter equals 1000 mm. Multiply the meters by 1000 to convert.
[tex]\[ 120 \, \text{m} \times 1000 = 120,000 \, \text{mm} \][/tex]

### in) 0.0039 m to cm
Assuming "lm" was meant to be meters, convert by multiplying by 100 since 1 m = 100 cm.
[tex]\[ 0.0039 \, \text{m} \times 100 = 0.39 \, \text{cm} \][/tex]

### v) 1.505 cm to dm
1 cm is 0.1 dm. Multiply the centimeters by 0.1 to convert to decimeters.
[tex]\[ 1.505 \, \text{cm} \times 0.1 = 0.1505 \, \text{dm} \][/tex]

### e) 18 dm to mm
1 dm equals 100 mm. Multiply the decimeters by 100 to convert.
[tex]\[ 18 \, \text{dm} \times 100 = 1800 \, \text{mm} \][/tex]

### 1i) 850,000 mm to dm
1 mm equals 0.1 dm. Multiply the millimeters by 0.1 to convert to decimeters.
[tex]\[ 850,000 \, \text{mm} \times 0.1 = 85,000 \, \text{dm} \][/tex]

### w) 56.65 mm to dm
Convert by multiplying the millimeters by 0.001 since 1 mm = 0.001 dm.
[tex]\[ 56.65 \, \text{mm} \times 0.001 = 0.05665 \, \text{dm} \][/tex]

### f) 42.5 mm to cm
1 mm equals 0.1 cm. Multiply by 0.1 to convert to centimeters.
[tex]\[ 42.5 \, \text{mm} \times 0.1 = 4.25 \, \text{cm} \][/tex]

### o) 0.505 mm to cm
Convert by multiplying the millimeters by 0.1 since 1 mm = 0.1 cm.
[tex]\[ 0.505 \, \text{mm} \times 0.1 = 0.0505 \, \text{cm} \][/tex]

### x) 0.000098 m to mm
1 meter is 1000 mm. Convert by multiplying the meters by 1000.
[tex]\[ 0.000098 \, \text{m} \times 1000 = 0.098 \, \text{mm} \][/tex]

### g) 1,190 mm to dm
1 mm equals 0.1 dm. Multiply by 0.1 to convert to decimeters.
[tex]\[ 1,190 \, \text{mm} \times 0.1 = 119 \, \text{dm} \][/tex]

### q) 0.006 m to cm
1 meter is 100 cm. Multiply to convert meters to centimeters.
[tex]\[ 0.006 \, \text{m} \times 100 = 0.6 \, \text{cm} \][/tex]

### z) 6.024 km to km
No conversion is necessary since it's already in kilometers.
[tex]\[ 6.024 \, \text{km} = 6.024 \, \text{km} \][/tex]

### i) 81.36 cm to m
1 cm equals 0.01 m. Multiply the centimeters by 0.01 to convert to meters.
[tex]\[ 81.36 \, \text{cm} \times 0.01 = 0.8136 \, \text{m} \][/tex]

I hope this helps! If you have any questions about these conversions, feel free to ask!

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