Representative fraction for the map scale 1cm to half km is
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Precise geometric relationship between a map and the region it portrays.- One of the most important characteristics of a modern map.- Most maps are greatly reduced in size compared to their subjects, so scale is a small fraction.Definition: Ratio of the size of the map to its subject:
Scale = distance on a map / distance on the groundExample:
- Two points on the ground are 1000 m apart.
- Represented on the map by points only 1 cm apart
- Calculate scale as follows:
- 1 cm represents 1000 m
- 1000 m = 100,000 cm
- so 1 cm represents 100,000 cm
- so scale = 1 cm / 100,000 cm = 1/100,000- Scale is a fraction, expressed in 3 ways:
- Representative Fraction (RF), e.g. 1:100,000
- Verbal Scale 'One cm represents one km'
- Graphic Scale - a line labelled with the distance it represents.Graphic scale remains accurate if a map is enlarged or reduced. Verbal and RF scales do not.
On a graphic scale, the intervals must be convenient round numbers.Scale examplesexample: ground distance = 5 km, map distance = 2 cm.- STEP 1: - 2 cm represents 5 km - (write in full)- STEP 2: - 1 cm represents 2.5 km - (divide so left side = 1)- STEP 3: - 1 cm represents 250,000 cm - (convert to same units) - STEP 4: - scale is 1 : 250,000 - (express as a representative fraction)example: distance on map = 3.5 cm, map scale = 1:15,000
- what is the real distance?
- STEP 1: - 1 cm represents 15,000 cm - (express scale in words, same units as your measurement)
- STEP 2: - 3.5 cm represents (3.5 x 15,000) cm = 52500 cm - (multiply both sides by map distance)
- STEP 3: - 3.5 cm represents 525 m - (convert to more convenient units)
answer: 525 mScale (2)Large and small scales:- Scale is a fraction.- 1/2 is larger than 1/4.- 1/5000 is larger than 1/100,000.- 1:5000 is a larger scale than 1:100,000.- 'Large scale' depends on context but usually refers to scales larger than about 1:50,000.(NOTE - this has nothing to do with an expression like 'a large-scale construction project')Enlarging or reducing:
- Scale is map distance / ground distance.
- If the map is made larger (on photocopier etc.) the map distance increases, so scale changes.
- Larger map = larger scale, smaller map = smaller scale.
- Multiply the map distance by the percentage change and recalculate scale.example: Map distance = 1 cm, Ground distance = 1 km.
- Scale = 1:100,000
- Enlarge by 141% on photocopier.
- Map distance = 1.41 cm Ground distance = 1 km
- Scale = 1.41/100,000 = 1:70,921
Scale = distance on a map / distance on the groundExample:
- Two points on the ground are 1000 m apart.
- Represented on the map by points only 1 cm apart
- Calculate scale as follows:
- 1 cm represents 1000 m
- 1000 m = 100,000 cm
- so 1 cm represents 100,000 cm
- so scale = 1 cm / 100,000 cm = 1/100,000- Scale is a fraction, expressed in 3 ways:
- Representative Fraction (RF), e.g. 1:100,000
- Verbal Scale 'One cm represents one km'
- Graphic Scale - a line labelled with the distance it represents.Graphic scale remains accurate if a map is enlarged or reduced. Verbal and RF scales do not.
On a graphic scale, the intervals must be convenient round numbers.Scale examplesexample: ground distance = 5 km, map distance = 2 cm.- STEP 1: - 2 cm represents 5 km - (write in full)- STEP 2: - 1 cm represents 2.5 km - (divide so left side = 1)- STEP 3: - 1 cm represents 250,000 cm - (convert to same units) - STEP 4: - scale is 1 : 250,000 - (express as a representative fraction)example: distance on map = 3.5 cm, map scale = 1:15,000
- what is the real distance?
- STEP 1: - 1 cm represents 15,000 cm - (express scale in words, same units as your measurement)
- STEP 2: - 3.5 cm represents (3.5 x 15,000) cm = 52500 cm - (multiply both sides by map distance)
- STEP 3: - 3.5 cm represents 525 m - (convert to more convenient units)
answer: 525 mScale (2)Large and small scales:- Scale is a fraction.- 1/2 is larger than 1/4.- 1/5000 is larger than 1/100,000.- 1:5000 is a larger scale than 1:100,000.- 'Large scale' depends on context but usually refers to scales larger than about 1:50,000.(NOTE - this has nothing to do with an expression like 'a large-scale construction project')Enlarging or reducing:
- Scale is map distance / ground distance.
- If the map is made larger (on photocopier etc.) the map distance increases, so scale changes.
- Larger map = larger scale, smaller map = smaller scale.
- Multiply the map distance by the percentage change and recalculate scale.example: Map distance = 1 cm, Ground distance = 1 km.
- Scale = 1:100,000
- Enlarge by 141% on photocopier.
- Map distance = 1.41 cm Ground distance = 1 km
- Scale = 1.41/100,000 = 1:70,921
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By the way, this is not a maths question
It should be posted in geography.
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