convert the following into numerical scales RF?

1)2 cm to 5 km

2 cm to 5 km

= 2 cm : 5 km
= 2 cm : 500000 cm , we need the same units
= 1 : 250000

Good job

To convert 2 cm to 5 km into numerical scales RF (Representative Fraction), follow these steps:

Step 1: Convert 2 cm to meters
Since 1 cm is equal to 0.01 meters, multiply 2 cm by 0.01 to convert to meters:
2 cm * 0.01 m/cm = 0.02 m

Step 2: Convert 5 km to meters
Since 1 km is equal to 1000 meters, multiply 5 km by 1000 to convert to meters:
5 km * 1000 m/km = 5000 m

Step 3: Determine the scale in relation to the chosen unit
In this case, the chosen unit is meters, and 0.02 m represents the distance on the map while 5000 m represents the real distance.

Step 4: Calculate the RF
To calculate the RF, divide the distance on the map by the real distance:
RF = Distance on map / Real distance
RF = 0.02 m / 5000 m

Step 5: Simplify the RF if required
To simplify the RF, you can divide both the numerator and denominator by a common factor. In this case, both 0.02 m and 5000 m can be divided by 10:
RF = 0.02 m / 5000 m = 0.002 m / 1000 m

As a simplified RF, you can express it as:
RF = 1:500000

To convert 2 cm to 5 km into numerical scales, we need to determine the ratio of the lengths in centimeters to the lengths in kilometers.

First, we convert 2 cm to km. Since there are 100,000 centimeters in 1 kilometer, we divide 2 by 100,000 to get the equivalent in kilometers:

2 cm ÷ 100,000 = 0.00002 km

Next, we calculate the numerical scale by dividing the length in kilometers by the given length in centimeters:

Numerical Scale = Length in km ÷ Length in cm

Numerical Scale = 0.00002 km ÷ 5 km

Numerical Scale = 0.00002

Therefore, the numerical scale for 2 cm to 5 km is 0.00002.