1 cm=___ kilometre.

Options

A. 100
B. `10^(5)`
C. `10^(-5)`
D. `10^(-2)`

Answer

To solve the question "1 cm = ___ kilometre," we will follow these steps:

### Step 1: Understand the relationship between kilometers and centimeters.
1 kilometer (km) is equal to 1000 meters (m), and 1 meter (m) is equal to 100 centimeters (cm).

### Step 2: Convert kilometers to centimeters.
To find out how many centimeters are in one kilometer, we can multiply:
1 km = 1000 m × 100 cm/m = 100,000 cm
This can also be expressed as:
1 km = 10^5 cm

### Step 3: Set up the conversion from centimeters to kilometers.
Now, we need to find out how many kilometers are in 1 centimeter. We can set up the equation:
1 cm = x km
We know from the previous step that:
1 km = 10^5 cm

### Step 4: Cross-multiply to find x.
To find x, we can rearrange the equation:
x km = 1 cm
This means:
x = 1 cm / (10^5 cm/km)

### Step 5: Simplify the expression.
When we simplify this, we get:
x = 1 / 10^5 km
This can also be written as:
x = 10^-5 km

### Final Answer:
Therefore, 1 cm = 10^-5 kilometers.

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