Fill in the blanks.

Convert 32 km to decimeters.

[tex]\[ \text{32 km} = \underline{\hspace{1cm}} \text{ dm} \][/tex]

[tex]\[ \text{32 km} \times \underline{\hspace{1cm}} \text{ km/dm} = \underline{\hspace{1cm}} \text{ dm} \][/tex]

[tex]\[ 1 \text{ km} = \underline{\hspace{1cm}} \text{ dm} \][/tex]

[tex]\[ 32 \text{ km} \times 10^4 = \underline{\hspace{1cm}} \text{ dm} \][/tex]

[tex]\[ y = \underline{\hspace{1cm}} \text{ dm} \][/tex]

[tex]\[ 32 \text{ km} = y \text{ dm} \][/tex]



Answer :

To convert kilometers to decimeters, we need to remember the relationship between the two units. Specifically, 1 kilometer is equal to 10,000 decimeters.

Given:
- The value we need to convert: 32 kilometers.

Let's proceed with the step-by-step conversion.

1. Write down the given value in kilometers:
[tex]\[ 32 \text{ kilometers} \][/tex]

2. Recall the conversion factor between kilometers and decimeters:
[tex]\[ 1 \text{ kilometer} = 10,000 \text{ decimeters} \][/tex]

3. Multiply the value in kilometers by the conversion factor to convert it to decimeters:
[tex]\[ 32 \text{ kilometers} \times 10,000 \text{ decimeters per kilometer} \][/tex]

4. Perform the multiplication:
[tex]\[ 32 \times 10,000 = 320,000 \][/tex]

Thus, 32 kilometers is equal to 320,000 decimeters.

So, the answer is:
[tex]\[ 32 \text{ kilometers} = 320,000 \text{ decimeters} \][/tex]