convert the following direct statements of scale into representive fraction expressions
1) 2cm to 1km
2) 10m to 1 km
3) 100 mm to 1 m
4) 10 cm to 0.5m
To convert the given direct statements of scale into representative fraction expressions, we need to find the ratio between the two quantities and represent it as a fraction.
1) 2cm to 1km:
We need to determine how many times 2cm fits into 1km.
1 km = 100000 cm
So, the ratio is 2:100000.
To express this as a representative fraction, we take the larger number (100000) as the denominator and the smaller number (2) as the numerator.
The representative fraction for 2cm to 1km is 2/100000.
2) 10m to 1km:
Similarly, we need to find how many times 10m fits into 1km.
1 km = 1000 m
So, the ratio is 10:1000.
Expressing this as a fraction, we have 10/1000.
Simplifying the fraction, it becomes 1/100.
3) 100 mm to 1 m:
To convert mm to m, we divide by 1000 since there are 1000mm in one meter.
So, the ratio is 100:1000.
Representing this as a fraction gives us 100/1000, which can be further simplified to 1/10.
4) 10 cm to 0.5m:
Converting cm to m requires division by 100 since there are 100cm in one meter.
So, the ratio is 10:50 (since 0.5m = 50cm).
Expressing this as a fraction gives us 10/50.
Simplifying the fraction, we get 1/5.
Therefore, the representative fraction expressions for the given direct statements of scale are:
1) 2cm to 1km: 2/100000
2) 10m to 1km: 1/100
3) 100 mm to 1 m: 1/10
4) 10 cm to 0.5m: 1/5